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You can add new groups to both the including and the excluding part by using the buttons "OR" or "NOT" respectively, and you can add more search options to all groups through the drop down menu on the last row (in each group).

For a result to be included in the search result, is it required to fit all added including parameters (in at least one group) and not fit all parameters in one of the excluding groups.

This system with the two main parts and their groups makes it possible to combine two (or more) distinct searches into one search result, while being flexible in removing results from the final list.

- Series AX
- Arbete och Hälsa (Closed down 2008-09-02) CESIS Working Paper Series in Economics and Institutions of Innovation CTL Technical Report CTS - Working papers in Transport Economics EES Examensarbete / Master Thesis Examensarbete Byggnadsteknik Examensarbete INDEK Examensarbete Installationsteknik Examensarbete Jord- och bergmekanik Fotogrammetriska meddelanden (Closed down 2008-09-02) FOU-rapport (Closed down 2008-09-02) Kandidatexjobb CSC Kärnkraftsäkerhet (Closed down 2008-09-02) Klimat och byggnader (Closed down 2008-09-02) Meddelande: Institutionen för infrastruktur, Fastighetsteknik Meddelande. Inst. för byggnadsteknik (Closed down 2008-09-02) Meddelande. Inst. för fastigheter och byggande (Closed down 2008-09-02) Meddelande. Inst. för fastighetsteknik (Closed down 2008-09-02) Meddelande. Installationsteknik (Closed down 2008-09-02) Meddelande. Inst för Infrastruktur (Closed down 2008-09-02) Meddelande. Institutionen för byggvetenskap Rapport MT (Closed down 2008-09-02) Rättsvetenskapliga biblioteket (Closed down 2008-09-02) Report. Department of Aeronautics (Closed down 2008-09-02) Report series / DSV Skriftserie (Closed down 2008-09-02) SoM EX SoM EX KAND Stoftanalys (Closed down 2008-09-02) TEC-MT Theses in philosophy from the Royal Institute of Technology Theses in Risk and Safety from the Division of Philosophy at the Royal Institute of Technology TMT TRITA/KTH/CEFIN-DT (Closed down 2018-01-05) TRITA-ABE-DLT TRITA-ABE-MBT TRITA-ABE-RPT TRITA-AFT (Closed down 2008-09-02) TRITA-ALP (Closed down 2017-12-21) TRITA-AMI. LIC (Closed down 2008-09-02) TRITA-AMI. PHD (Closed down 2008-09-02) TRITA-ARK. Akademisk avhandling (Closed down 2018-01-05) TRITA-ARK. Forskningspublikationer (Closed down 2017-12-21) TRITA-ARK (Closed down 2008-09-02) TRITA-AVE (Closed down 2017-12-21) TRITA-BFE (Closed down 2017-12-21) TRITA-BIO-Report (Closed down 2017-12-21) TRITA-BKN. Bulletin (Closed down 2018-01-05) TRITA-BKN-Examensarbete (Closed down 2017-12-21) TRITA-BKN Report (Closed down 2017-12-31) TRITA-BYMA (Closed down 2017-12-21) TRITA-BYT (Closed down 2008-02-15) TRITA-BYTE (Closed down 2017-12-21) TRITA-CBH-FOU TRITA-CBH-GRU TRITA-CBH-RAP TRITA-CHE-Report (Closed down 2017-12-21) TRITA-CSC-A (Closed down 2017-12-21) TRITA-CSC-E (Closed down 2017-12-21) TRITA-DKT (Closed down 2008-09-02) TRITA-ECE (Closed down 2018-01-05) TRITA-ECE-EX (Closed down 2018-01-05) TRITA-ECS Report (Closed down 2017-12-21) TRITA-EDS (Closed down 2008-09-02) TRITA-EE (Closed down 2018-01-05) TRITA-EEA (Closed down 2008-09-02) TRITA-EECS-AVL TRITA-EECS-EX TRITA-EECS-RP TRITA-EES (Closed down 2008-09-02) TRITA-EHE (Closed down 2008-09-02) TRITA-EIE (Closed down 2008-09-02) TRITA-EKS (Closed down 2008-09-02) TRITA-EKT (Closed down 2018-01-05) TRITA-ELA (Closed down 2008-09-02) TRITA-EMD (Closed down 2008-09-02) TRITA-EME (Closed down 2018-01-05) TRITA-ESD (Closed down 2008-09-02) TRITA-ETS (Closed down 2018-01-05) TRITA-EUV (Closed down 2008-09-02) TRITA-FAT (Closed down 2008-09-02) TRITA-FKT (Closed down 2008-09-02) TRITA-FOB (Closed down 2018-01-05) TRITA-FPT (Closed down 2008-09-02) TRITA-FPT-Report (Closed down 2018-01-05) TRITA-FTE (Closed down 2018-01-05) TRITA-FTP (Closed down 2008-09-02) TRITA-FYK (Closed down 2018-01-05) TRITA-FYS (Closed down 2018-01-05) TRITA-GEOFOTO (Closed down 2008-09-02) TRITA-GIT EX (Closed down 2018-01-05) TRITA-GRT (Closed down 2008-09-02) TRITA-HFL. Rapport/ Institutionen för hållfasthetslära, KTH (Closed down 2018-01-05) TRITA-HMA (Closed down 2018-01-05) TRITA-HOT (Closed down 2018-01-05) TRITA-HST (Closed down 2018-01-05) TRITA-HYD (Closed down 2018-01-05) TRITA-ICS (Closed down 2018-01-05) TRITA-ICT/MAP (Closed down 2018-01-05) TRITA-ICT/MAP AVH (Closed down 2018-01-05) TRITA-ICT (Closed down 2018-01-05) TRITA-ICT-COS (Closed down 2016-01-01) TRITA-ICT-ECS AVH (Closed down 2018-01-05) TRITA-ICT-EX (Closed down 2018-01-05) TRITA-IEO (Closed down 2018-01-05) TRITA-IES (Closed down 2018-01-05) TRITA-IIP (Closed down 2018-01-05) TRITA-ILA (Closed down 2018-01-05) TRITA-IM (Closed down 2017-06-30) TRITA-IMA (Closed down 2008-09-02) TRITA-IM-EX (Closed down 2017-06-30) TRITA-IMIT. LECS (Closed down 2018-01-05) TRITA-IMIT-LCN. AVH (Closed down 2008-09-02) TRITA-IMIT-TSLAB. AVH (Closed down 2008-09-02) TRITA-IMIT-TSLAB. AVH (Closed down 2018-01-05) TRITA-INFRA. EX (Closed down 2008-09-02) TRITA-INFRA (Closed down 2018-01-05) TRITA-INFRA-FMS (Closed down 2017-06-30) TRITA-INFRA-FMS-PHD (Closed down 2017-06-30) TRITA‐INFRA‐FMS‐PHD (Closed down 2018-01-05) TRITA‐INFRA‐FMS‐PHD (Closed down 2018-01-05) TRITA-IOK (Closed down 2018-01-05) TRITA-IP. FR (Closed down 2008-09-02) TRITA-IP (Closed down 2008-09-02) TRITA-IT. AVH (Closed down 2008-09-02) TRITA-IT (Closed down 2008-09-02) TRITA-ITM-AVL TRITA-ITM-EX TRITA-ITM-RP TRITA-IT-R (Closed down 2008-09-02) TRITA-JOB. LIC (Closed down 2008-09-02) TRITA-JOB. LIC (Closed down 2018-01-05) TRITA-JOB. PHD (Closed down 2008-09-02) TRITA-JOB (Closed down 2008-09-02) TRITA-JOB PHD (Closed down 2018-01-05) TRITA-KET (Closed down 2018-01-05) TRITA-KET-IM (Closed down 2008-09-02) TRITA-KET-IM (Closed down 2018-01-05) TRITA-KKE (Closed down 2018-01-05) TRITA-KRV (Closed down 2008-09-02) TRITA-KRV (Closed down 2018-01-05) TRITA-KTH. R (Closed down 2008-09-02) TRITA-KTH-CEFIN-SR (Closed down 2018-01-05) TRITA-LIB TRITA-LWR. LIC (Closed down 2008-09-02) TRITA-LWR. LIC (Closed down 2017-06-30) TRITA-LWR. PHD (Closed down 2017-06-30) TRITA-LWR Report (Closed down 2017-06-30) TRITA-MAT. MA (Closed down 2018-01-05) TRITA-MAT. MS (Closed down 2008-09-02) TRITA-MAT. OS (Closed down 2018-01-05) TRITA-MAT (Closed down 2018-01-05) TRITA-MAT-A (Closed down 2018-01-05) TRITA-MAT-E (Closed down 2018-01-05) TRITA-MAT-K (Closed down 2018-01-05) TRITA-MB. AVH (Closed down 2008-09-02) TRITA-MB (Closed down 2008-09-02) TRITA-MEB (Closed down 2008-09-02) TRITA-MEK (Closed down 2018-01-05) TRITA-MEL (Closed down 2008-09-02) TRITA-MET (Closed down 2008-09-02) TRITA-MF (Closed down 2018-01-05) TRITA-MG. AVH (Closed down 2008-09-02) TRITA-MG (Closed down 2018-01-05) TRITA-MMK (Closed down 2018-01-05) TRITA-MSM (Closed down 2008-09-02) TRITA-MT (Closed down 2008-09-02) TRITA-MVT (Closed down 2018-01-05) TRITA-NA (Closed down 2018-01-05) TRITA-NA-P (Closed down 2008-09-02) TRITA-OOK (Closed down 2008-09-02) TRITA-OOK (Closed down 2018-01-05) TRITA-PM (Closed down 2008-09-02) TRITA-PMT (Closed down 2008-09-02) TRITA-REFR (Closed down 2018-01-05) TRITA-REG (Closed down 2008-09-02) TRITA-REL (Closed down 2008-09-02) TRITA-S3. SB (Closed down 2017-12-21) TRITA-S3-KT (Closed down 2017-12-21) TRITA-S3-LCN (Closed down 2017-12-21) TRITA-S3-REG. (Closed down 2017-12-21) TRITA-S3-REG (Closed down 2008-09-02) TRITA-S3-RST (Closed down 2008-09-02) TRITA-S3-RST (Closed down 2017-12-21) TRITA-S3-SB (Closed down 2017-12-21) TRITA-S3-SIP (Closed down 2017-12-21) TRITA-SCI-FOU TRITA-SCI-GRU TRITA-SCI-RAP TRITA-SEED-EX (Closed down 2017-12-21) TRITA-SEED-KAND (Closed down 2017-12-21) TRITA-SEED-LIC (Closed down 2017-12-21) TRITA-SEED-PHD (Closed down 2017-12-21) TRITA-SEED--Report (Closed down 2017-12-21) TRITA-SOM (Closed down 2018-01-05) TRITA-ST (Closed down 2008-09-02) TRITA-STH : report (Closed down 2018-01-05) TRITA-STH (Closed down 2018-01-05) TRITA-STH-PUB (Closed down 2018-01-05) TRITA-STKL (Closed down 2018-01-05) TRITA-SUS (Closed down 2018-01-05) TRITA-TEC-LIC (Closed down 2018-01-05) TRITA-TEC-PHD (Closed down 2018-01-05) TRITA-TEC-RR (Closed down 2018-01-05) TRITA-TEST TRITA-TET (Closed down 2008-09-02) TRITA-TMH (Closed down 2008-09-02) TRITA-TMH (Closed down 2018-01-05) TRITA-TPM (Closed down 2008-09-02) TRITA-TRÄ (Closed down 2008-09-02) TRITA-TSC-LIC (Closed down 2018-01-05) TRITA-TSC-PHD (Closed down 2018-01-05) TRITA-TSC-RR (Closed down 2018-01-05) TRITA-TSM (Closed down 2008-09-02) TRITA-TYK (Closed down 2008-09-02) TRITA-VBT (Closed down 2018-01-05) TRITA-VNT (Closed down 2008-09-02) TRITA-VT. FR (Closed down 2008-09-02) TRITA-VT. FR (Closed down 2018-01-05) TRITA-YTK (Closed down 2018-01-05) TSC-BT TSC-MT - -
- Arbete och Hälsa (Closed down 2008-09-02)
- CESIS Working Paper Series in Economics and Institutions of Innovation
- CTL Technical Report
- CTS - Working papers in Transport Economics
- EES Examensarbete / Master Thesis
- Examensarbete Byggnadsteknik
- Examensarbete INDEK
- Examensarbete Installationsteknik
- Examensarbete Jord- och bergmekanik
- Fotogrammetriska meddelanden (Closed down 2008-09-02)
- FOU-rapport (Closed down 2008-09-02)
- Kandidatexjobb CSC
- Kärnkraftsäkerhet (Closed down 2008-09-02)
- Klimat och byggnader (Closed down 2008-09-02)
- Meddelande: Institutionen för infrastruktur, Fastighetsteknik
- Meddelande. Inst. för byggnadsteknik (Closed down 2008-09-02)
- Meddelande. Inst. för fastigheter och byggande (Closed down 2008-09-02)
- Meddelande. Inst. för fastighetsteknik (Closed down 2008-09-02)
- Meddelande. Installationsteknik (Closed down 2008-09-02)
- Meddelande. Inst för Infrastruktur (Closed down 2008-09-02)
- Meddelande. Institutionen för byggvetenskap
- Rapport MT (Closed down 2008-09-02)
- Rättsvetenskapliga biblioteket (Closed down 2008-09-02)
- Report. Department of Aeronautics (Closed down 2008-09-02)
- Report series / DSV
- Skriftserie (Closed down 2008-09-02)
- SoM EX
- SoM EX KAND
- Stoftanalys (Closed down 2008-09-02)
- TEC-MT
- Theses in philosophy from the Royal Institute of Technology
- Theses in Risk and Safety from the Division of Philosophy at the Royal Institute of Technology
- TMT
- TRITA/KTH/CEFIN-DT (Closed down 2018-01-05)
- TRITA-ABE-DLT
- TRITA-ABE-MBT
- TRITA-ABE-RPT
- TRITA-AFT (Closed down 2008-09-02)
- TRITA-ALP (Closed down 2017-12-21)
- TRITA-AMI. LIC (Closed down 2008-09-02)
- TRITA-AMI. PHD (Closed down 2008-09-02)
- TRITA-ARK. Akademisk avhandling (Closed down 2018-01-05)
- TRITA-ARK. Forskningspublikationer (Closed down 2017-12-21)
- TRITA-ARK (Closed down 2008-09-02)
- TRITA-AVE (Closed down 2017-12-21)
- TRITA-BFE (Closed down 2017-12-21)
- TRITA-BIO-Report (Closed down 2017-12-21)
- TRITA-BKN. Bulletin (Closed down 2018-01-05)
- TRITA-BKN-Examensarbete (Closed down 2017-12-21)
- TRITA-BKN Report (Closed down 2017-12-31)
- TRITA-BYMA (Closed down 2017-12-21)
- TRITA-BYT (Closed down 2008-02-15)
- TRITA-BYTE (Closed down 2017-12-21)
- TRITA-CBH-FOU
- TRITA-CBH-GRU
- TRITA-CBH-RAP
- TRITA-CHE-Report (Closed down 2017-12-21)
- TRITA-CSC-A (Closed down 2017-12-21)
- TRITA-CSC-E (Closed down 2017-12-21)
- TRITA-DKT (Closed down 2008-09-02)
- TRITA-ECE (Closed down 2018-01-05)
- TRITA-ECE-EX (Closed down 2018-01-05)
- TRITA-ECS Report (Closed down 2017-12-21)
- TRITA-EDS (Closed down 2008-09-02)
- TRITA-EE (Closed down 2018-01-05)
- TRITA-EEA (Closed down 2008-09-02)
- TRITA-EECS-AVL
- TRITA-EECS-EX
- TRITA-EECS-RP
- TRITA-EES (Closed down 2008-09-02)
- TRITA-EHE (Closed down 2008-09-02)
- TRITA-EIE (Closed down 2008-09-02)
- TRITA-EKS (Closed down 2008-09-02)
- TRITA-EKT (Closed down 2018-01-05)
- TRITA-ELA (Closed down 2008-09-02)
- TRITA-EMD (Closed down 2008-09-02)
- TRITA-EME (Closed down 2018-01-05)
- TRITA-ESD (Closed down 2008-09-02)
- TRITA-ETS (Closed down 2018-01-05)
- TRITA-EUV (Closed down 2008-09-02)
- TRITA-FAT (Closed down 2008-09-02)
- TRITA-FKT (Closed down 2008-09-02)
- TRITA-FOB (Closed down 2018-01-05)
- TRITA-FPT (Closed down 2008-09-02)
- TRITA-FPT-Report (Closed down 2018-01-05)
- TRITA-FTE (Closed down 2018-01-05)
- TRITA-FTP (Closed down 2008-09-02)
- TRITA-FYK (Closed down 2018-01-05)
- TRITA-FYS (Closed down 2018-01-05)
- TRITA-GEOFOTO (Closed down 2008-09-02)
- TRITA-GIT EX (Closed down 2018-01-05)
- TRITA-GRT (Closed down 2008-09-02)
- TRITA-HFL. Rapport/ Institutionen för hållfasthetslära, KTH (Closed down 2018-01-05)
- TRITA-HMA (Closed down 2018-01-05)
- TRITA-HOT (Closed down 2018-01-05)
- TRITA-HST (Closed down 2018-01-05)
- TRITA-HYD (Closed down 2018-01-05)
- TRITA-ICS (Closed down 2018-01-05)
- TRITA-ICT/MAP (Closed down 2018-01-05)
- TRITA-ICT/MAP AVH (Closed down 2018-01-05)
- TRITA-ICT (Closed down 2018-01-05)
- TRITA-ICT-COS (Closed down 2016-01-01)
- TRITA-ICT-ECS AVH (Closed down 2018-01-05)
- TRITA-ICT-EX (Closed down 2018-01-05)
- TRITA-IEO (Closed down 2018-01-05)
- TRITA-IES (Closed down 2018-01-05)
- TRITA-IIP (Closed down 2018-01-05)
- TRITA-ILA (Closed down 2018-01-05)
- TRITA-IM (Closed down 2017-06-30)
- TRITA-IMA (Closed down 2008-09-02)
- TRITA-IM-EX (Closed down 2017-06-30)
- TRITA-IMIT. LECS (Closed down 2018-01-05)
- TRITA-IMIT-LCN. AVH (Closed down 2008-09-02)
- TRITA-IMIT-TSLAB. AVH (Closed down 2008-09-02)
- TRITA-IMIT-TSLAB. AVH (Closed down 2018-01-05)
- TRITA-INFRA. EX (Closed down 2008-09-02)
- TRITA-INFRA (Closed down 2018-01-05)
- TRITA-INFRA-FMS (Closed down 2017-06-30)
- TRITA-INFRA-FMS-PHD (Closed down 2017-06-30)
- TRITA‐INFRA‐FMS‐PHD (Closed down 2018-01-05)
- TRITA‐INFRA‐FMS‐PHD (Closed down 2018-01-05)
- TRITA-IOK (Closed down 2018-01-05)
- TRITA-IP. FR (Closed down 2008-09-02)
- TRITA-IP (Closed down 2008-09-02)
- TRITA-IT. AVH (Closed down 2008-09-02)
- TRITA-IT (Closed down 2008-09-02)
- TRITA-ITM-AVL
- TRITA-ITM-EX
- TRITA-ITM-RP
- TRITA-IT-R (Closed down 2008-09-02)
- TRITA-JOB. LIC (Closed down 2008-09-02)
- TRITA-JOB. LIC (Closed down 2018-01-05)
- TRITA-JOB. PHD (Closed down 2008-09-02)
- TRITA-JOB (Closed down 2008-09-02)
- TRITA-JOB PHD (Closed down 2018-01-05)
- TRITA-KET (Closed down 2018-01-05)
- TRITA-KET-IM (Closed down 2008-09-02)
- TRITA-KET-IM (Closed down 2018-01-05)
- TRITA-KKE (Closed down 2018-01-05)
- TRITA-KRV (Closed down 2008-09-02)
- TRITA-KRV (Closed down 2018-01-05)
- TRITA-KTH. R (Closed down 2008-09-02)
- TRITA-KTH-CEFIN-SR (Closed down 2018-01-05)
- TRITA-LIB
- TRITA-LWR. LIC (Closed down 2008-09-02)
- TRITA-LWR. LIC (Closed down 2017-06-30)
- TRITA-LWR. PHD (Closed down 2017-06-30)
- TRITA-LWR Report (Closed down 2017-06-30)
- TRITA-MAT. MA (Closed down 2018-01-05)
- TRITA-MAT. MS (Closed down 2008-09-02)
- TRITA-MAT. OS (Closed down 2018-01-05)
- TRITA-MAT (Closed down 2018-01-05)
- TRITA-MAT-A (Closed down 2018-01-05)
- TRITA-MAT-E (Closed down 2018-01-05)
- TRITA-MAT-K (Closed down 2018-01-05)
- TRITA-MB. AVH (Closed down 2008-09-02)
- TRITA-MB (Closed down 2008-09-02)
- TRITA-MEB (Closed down 2008-09-02)
- TRITA-MEK (Closed down 2018-01-05)
- TRITA-MEL (Closed down 2008-09-02)
- TRITA-MET (Closed down 2008-09-02)
- TRITA-MF (Closed down 2018-01-05)
- TRITA-MG. AVH (Closed down 2008-09-02)
- TRITA-MG (Closed down 2018-01-05)
- TRITA-MMK (Closed down 2018-01-05)
- TRITA-MSM (Closed down 2008-09-02)
- TRITA-MT (Closed down 2008-09-02)
- TRITA-MVT (Closed down 2018-01-05)
- TRITA-NA (Closed down 2018-01-05)
- TRITA-NA-P (Closed down 2008-09-02)
- TRITA-OOK (Closed down 2008-09-02)
- TRITA-OOK (Closed down 2018-01-05)
- TRITA-PM (Closed down 2008-09-02)
- TRITA-PMT (Closed down 2008-09-02)
- TRITA-REFR (Closed down 2018-01-05)
- TRITA-REG (Closed down 2008-09-02)
- TRITA-REL (Closed down 2008-09-02)
- TRITA-S3. SB (Closed down 2017-12-21)
- TRITA-S3-KT (Closed down 2017-12-21)
- TRITA-S3-LCN (Closed down 2017-12-21)
- TRITA-S3-REG. (Closed down 2017-12-21)
- TRITA-S3-REG (Closed down 2008-09-02)
- TRITA-S3-RST (Closed down 2008-09-02)
- TRITA-S3-RST (Closed down 2017-12-21)
- TRITA-S3-SB (Closed down 2017-12-21)
- TRITA-S3-SIP (Closed down 2017-12-21)
- TRITA-SCI-FOU
- TRITA-SCI-GRU
- TRITA-SCI-RAP
- TRITA-SEED-EX (Closed down 2017-12-21)
- TRITA-SEED-KAND (Closed down 2017-12-21)
- TRITA-SEED-LIC (Closed down 2017-12-21)
- TRITA-SEED-PHD (Closed down 2017-12-21)
- TRITA-SEED--Report (Closed down 2017-12-21)
- TRITA-SOM (Closed down 2018-01-05)
- TRITA-ST (Closed down 2008-09-02)
- TRITA-STH : report (Closed down 2018-01-05)
- TRITA-STH (Closed down 2018-01-05)
- TRITA-STH-PUB (Closed down 2018-01-05)
- TRITA-STKL (Closed down 2018-01-05)
- TRITA-SUS (Closed down 2018-01-05)
- TRITA-TEC-LIC (Closed down 2018-01-05)
- TRITA-TEC-PHD (Closed down 2018-01-05)
- TRITA-TEC-RR (Closed down 2018-01-05)
- TRITA-TEST
- TRITA-TET (Closed down 2008-09-02)
- TRITA-TMH (Closed down 2008-09-02)
- TRITA-TMH (Closed down 2018-01-05)
- TRITA-TPM (Closed down 2008-09-02)
- TRITA-TRÄ (Closed down 2008-09-02)
- TRITA-TSC-LIC (Closed down 2018-01-05)
- TRITA-TSC-PHD (Closed down 2018-01-05)
- TRITA-TSC-RR (Closed down 2018-01-05)
- TRITA-TSM (Closed down 2008-09-02)
- TRITA-TYK (Closed down 2008-09-02)
- TRITA-VBT (Closed down 2018-01-05)
- TRITA-VNT (Closed down 2008-09-02)
- TRITA-VT. FR (Closed down 2008-09-02)
- TRITA-VT. FR (Closed down 2018-01-05)
- TRITA-YTK (Closed down 2018-01-05)
- TSC-BT
- TSC-MT

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Show departments that are closed down
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- KTH
- Centres
- Nordic Institute for Theoretical Physics NORDITA
- Science for Life Laboratory, SciLifeLab
- KTH Center for Applied Precision Medicine (KCAP)

- KTH Center for Applied Precision Medicine (KCAP)
- SeRC - Swedish e-Science Research Centre
- XPRES, Excellence in production research

- Nordic Institute for Theoretical Physics NORDITA
- Library
- School of Architecture and the Built Environment (ABE)
- Architecture
- Architectural Design
- Architectural Technologies
- Critical Studies in Architecture
- History and Theory of Architecture
- Lightning Design
- Urban Design

- Architectural Design
- Centres
- Center for Construction Efficiency
- Center for sustainable built environment
- Center for the Future of Places
- Centre for Traffic Research, CTR
- Centre for Transport Studies, CTS
- Road2Science
- The Water Centre at KTH

- Center for Construction Efficiency
- Civil and Architectural Engineering
- Building Materials
- Building Technology and Design
- Civil and Architectural Engineering Laboratory
- Concrete Structures
- Environmental and Natural Resources Information System
- Soil and Rock Mechanics
- Steel Structures
- Structural Engineering and Bridges
- Sustainable Buildings
- Transport planning

- Building Materials
- Philosophy and History
- History of Science, Technology and Environment
- Philosophy

- History of Science, Technology and Environment
- Real Estate and Construction Management
- Banking and Finance
- Building and Real Estate Economics
- Geodesy and Satellite Positioning
- Project Communication
- Real Estate Planning and Land Law

- Banking and Finance
- Sustainable development, Environmental science and Engineering
- Resources, Energy and Infrastructure
- Strategic Sustainability Studies
- Sustainability and Environmental Engineering
- Sustainability Assessment and Management
- Water and Environmental Engineering

- Resources, Energy and Infrastructure
- Urban Planning and Environment
- Geoinformatics
- System Analysis and Economics
- Urban and Regional Studies

- Geoinformatics

- Architecture
- School of Electrical Engineering and Computer Science (EECS)
- Automatic Control
- Centres
- ACCESS Linnaeus Centre
- Alfvén Laboratory Centre for Space and Fusion Plasma Physics
- Center for Wireless Systems, Wireless@kth
- Centre for Advanced Software Technology Research (CASTOR)
- Centre for Autonomous Systems, CAS
- Centre for High Performance Computing, PDC
- Electrum Laboratory, ELAB
- Visualisation - Interaction - Collaboration, VIC

- ACCESS Linnaeus Centre
- Communication Systems, CoS
- Mobile Service Laboratory (MS Lab)
- Network Systems Laboratory (NS Lab)
- Optical Network Laboratory (ON Lab)
- Radio Systems Laboratory (RS Lab)

- Mobile Service Laboratory (MS Lab)
- Computational Science and Technology (CST)
- Electric Power and Energy Systems
- Electromagnetic Engineering
- Electronics
- Electronic and embedded systems
- Integrated devices and circuits

- Electronic and embedded systems
- Fusion Plasma Physics
- Information Science and Engineering
- Media Technology and Interaction Design, MID
- Micro and Nanosystems
- Network and Systems Engineering
- Robotics, Perception and Learning, RPL
- Software and Computer systems, SCS
- Space and Plasma Physics
- Speech, Music and Hearing, TMH
- Music Acoustics
- Speech Communication and Technology

- Music Acoustics
- Theoretical Computer Science, TCS

- Automatic Control
- School of Engineering Sciences (SCI)
- Aeronautical and Vehicle Engineering
- Aeroacoustics
- Aerodynamics
- Flight Dynamics
- Lightweight Structures
- Marcus Wallenberg Laboratory MWL
- Naval Systems
- Rail Vehicles
- Space Technology
- Technical Acoustics
- Vehicle design
- Vehicle Dynamics

- Aeroacoustics
- Applied Physics
- Biomedical and X-ray Physics
- Biophysics
- Laser Physics
- Materials and Nanophysics
- Nanostructure Physics
- Photonics
- Quantum and Biophotonics

- Biomedical and X-ray Physics
- Centres
- BioMEx
- Center for Industrial and Applied Mathematics, CIAM
- Center for Life Sciences Imaging at KTH-Karolinska, LSI
- Centre for Nuclear Energy Technology, CEKERT
- Centre of Vehicle Engineering Research, CVE
- Faxén Laboratory
- Forest Products Industry Research College, FPIRC
- KTH Computational Science and Engineering Centre, KCSE
- KTH-Wind
- Linné Center in Advanced Optics and Photonics, ADOPT
- Linné Flow Center, FLOW
- Nuclear Energy Technology Centre, SKC
- Resource Centre for Netbased Education, RCN
- The KTH Railway Group
- VinnExcellence Center BiMaC Innovation
- VinnExcellence Center for ECO2 Vehicle design
- Zhejiang-KTH Joint Research Center of Photonics, JORCEP

- BioMEx
- Mathematics (Dept.)
- Mathematical Statistics
- Mathematics (Div.)
- Numerical Analysis, NA
- Optimization and Systems Theory

- Mathematical Statistics
- Mechanics
- Biomechanics
- Fluid Mechanics of Industrial Processes
- Fluid Physics
- Physicochemical Fluid Mechanics
- Stability, Transition and Control
- Structural Mechanics
- Theoretical and Applied Mechanics
- Turbulence

- Biomechanics
- Physics
- Atomic and Molecular Physics
- Condensed Matter Theory
- Mathematical Physics
- Nuclear Engineering
- Nuclear Physics
- Nuclear Power Safety
- Particle and Astroparticle Physics
- Physics of Medical Imaging
- Reactor physics and technology
- Statistical Physics
- Theoretical Biological Physics
- Theoretical Particle Physics
- Theory of Materials

- Atomic and Molecular Physics
- Solid Mechanics (Dept.)
- Biomechanics
- Solid Mechanics (Div.)

- Biomechanics

- Aeronautical and Vehicle Engineering
- School of Engineering Sciences in Chemistry, Biotechnology and Health (CBH)
- Biomedical Engineering and Health Systems
- Basic Science
- Environmental Physiology
- Ergonomics
- Health Informatics and Logistics
- Human Communication Science
- Medical Imaging
- Neuronic Engineering
- Structural Biotechnology
- Technology in Health Care

- Basic Science
- Centres
- Förgasningscentrum (SFC)
- Swedish Aerospace Physiology Centre, SAPC
- The Jonasson Centre for Medical Imaging
- Wallenberg Center for Protein Research
- Wallenberg Wood Science Center

- Förgasningscentrum (SFC)
- Chemical Engineering
- Applied Electrochemistry
- Chemical Engineering
- Chemical Technology
- Energy Processes
- Process Technology
- Resource recovery
- Transport Phenomena

- Applied Electrochemistry
- Chemistry
- Applied Physical Chemistry
- Glycoscience
- Organic chemistry
- Surface and Corrosion Science

- Applied Physical Chemistry
- Engineering Pedagogics
- Fibre- and Polymer Technology
- Biocomposites
- Coating Technology
- Fibre Technology
- Polymer Technology
- Polymeric Materials
- Wood Chemistry and Pulp Technology

- Biocomposites
- Gene Technology
- Industrial Biotechnology
- Protein Science
- Affinity Proteomics
- Cellular and Clinical Proteomics
- Drug Discovery and Development
- Nano Biotechnology
- Protein Engineering
- Protein Technology
- Systems Biology

- Affinity Proteomics
- Theoretical Chemistry and Biology

- Biomedical Engineering and Health Systems
- School of Industrial Engineering and Management (ITM)
- Centres
- Brinell Centre - Inorganic Interfacial Engineering, BRIIE
- Center for Energy Conversion Technologies, CETET
- Center for Research in Design, CRD
- Center for Research on Business Innovation and Technology-based Entrepreneurship, CeBITE
- Centre for Computational Thermodynamics, CCT
- Centre for Materials Science and Engineering, Brinell
- Centre for Military Technology
- Centre of Excellence for Science and Innovation Studies, CESIS
- Centrum för miljövetenskap, CMV
- Competence Center for Gas Exchange (CCGEx)
- Design and Management of Manufacturing Systems, DMMS
- Engineering Institute, EI
- Gas Turbine Center, GTC
- Innovative Centre for Embedded Systems, ICES
- Integrated Transport Research Lab, ITRL
- KTH China Energy Center
- KTH Energy Center, KTH-EC
- Product Innovation Engineering program, PIE-p
- Stockholm International Toy Research Center, SITREC
- Systems for Refrigeration and Heat Pumps, EFFSYS
- The Swedish Faculty for Design Research and Research Education
- VinnExcellence Centre for Hierarch. Eng. of Industrial Materials, HERO-M
- Woxén Centre

- Brinell Centre - Inorganic Interfacial Engineering, BRIIE
- Energy Technology
- Applied Thermodynamics and Refrigeration
- Energy and Climate Studies, ECS
- Energy Systems Analysis
- Heat and Power Technology
- Sustainable Building Systems

- Applied Thermodynamics and Refrigeration
- Industrial Economics and Management (Dept.)
- Economics
- Industrial Management
- Industrial Marketing and Entrepreneurship
- Organization and management
- Sustainability and Industrial Dynamics

- Economics
- Learning
- Machine Design (Dept.)
- Embedded Control Systems
- Integrated Product Development
- Internal Combustion Engines
- Machine Design (Div.)
- Machine Elements
- Mechatronics
- Product and Service Design
- Product Innovation Technology
- Tribologi

- Embedded Control Systems
- Materials Science and Engineering
- Applied Material Physics
- Applied Process Metallurgy
- Casting of Metals
- Ceramics
- Computational Thermodynamics
- Energy and Furnace Technology
- Engineering Material Physics
- Materials Process Science
- Materials Processing
- Materials Technology
- Mechanical Metallurgy
- Micro-Modelling
- Multiscale Materials Modelling
- Physical Metallurgy

- Applied Material Physics
- Production Engineering
- Computer Systems for Design and Manufacturing
- Machine and Process Technology
- Materials Forming
- Metrology and Optics
- Production Systems
- Welding Technology

- Computer Systems for Design and Manufacturing
- Sustainable production development

- Centres
- Superseded Departments (pre-2005)
- Aeronautical and Vehicle Engineering
- Aeronautical Engineering
- Alfvén Laboratory
- Applied Information Technology
- Applied Process Metallurgy
- Architecture and Townplanning
- Architecture
- Biochemistry and Biotechnology
- Biotechnology
- Building Sciences and Engineering
- Built Environment
- Casting of Metals
- Chemical Engineering and Technology
- Chemistry
- Civil and Architectural Engineering
- Civil and Environmental Engineering
- Computer and Systems Sciences, DSV
- Electric Power Systems
- Electrical Systems
- Electromagnetic Theory
- Electronic Systems Design
- Electronics
- Electrum Laboratory
- Energy Technology
- Environmental Technology and Work Science
- Fibre and Polymer Technology
- Geodesy and Photogrammetry
- History of Science and Technology
- Industrial Economics and Management
- Infrastructure and Planning
- Infrastructure
- KTH Library
- KTH Syd
- Land and Water Resources Engineering
- Language and communication
- Machine Design
- Materials Processing
- Materials Science and Engineering
- Mathematics
- Mechanics
- Metallurgy
- Microelectronics and Information Technology, IMIT
- Numerical Analysis and Computer Science, NADA
- Physics
- Polymer Technology
- Production Engineering
- Production Systems
- Pulp and Paper Technology
- Real Estate and Construction Management
- School of Architecture
- Signals, Sensors and Systems
- Solid Mechanics
- Speech Transmission and Music Acoustics
- Speech, Music and Hearing
- Structural Engineering
- Teleinformatics
- Vehicle Engineering
- Wireless at KTH

- Aeronautical and Vehicle Engineering

- Centres

Show subjects that no longer are in use
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- Agricultural and Veterinary sciences
- Agricultural Biotechnology
- Genetics and Breeding in Agricultural Sciences
- Plant Biotechnology

- Genetics and Breeding in Agricultural Sciences
- Agricultural Science, Forestry and Fisheries
- Agricultural Science
- Fish and Aquacultural Science
- Food Science
- Forest Science
- Horticulture
- Landscape Architecture
- Soil Science
- Wood Science

- Agricultural Science
- Animal and Dairy Science
- Other Agricultural Sciences
- Agricultural Occupational Health and Safety
- Environmental Sciences related to Agriculture and Land-use
- Fish and Wildlife Management
- Other Agricultural Sciences not elsewhere specified
- Renewable Bioenergy Research

- Agricultural Occupational Health and Safety
- Veterinary Science
- Clinical Science
- Medical Bioscience
- Other Veterinary Science
- Pathobiology

- Clinical Science

- Agricultural Biotechnology
- Engineering and Technology
- Chemical Engineering
- Chemical Process Engineering
- Corrosion Engineering
- Other Chemical Engineering
- Pharmaceutical Chemistry
- Polymer Technologies

- Chemical Process Engineering
- Civil Engineering
- Architectural Engineering
- Building Technologies
- Construction Management
- Environmental Analysis and Construction Information Technology
- Geotechnical Engineering
- Infrastructure Engineering
- Other Civil Engineering
- Transport Systems and Logistics
- Water Engineering

- Architectural Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
- Communication Systems
- Computer Systems
- Control Engineering
- Embedded Systems
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Robotics
- Signal Processing
- Telecommunications

- Communication Systems
- Environmental Biotechnology
- Bioethics
- Bioremediation
- Diagnostic Biotechnology
- Other Environmental Biotechnology
- Water Treatment

- Bioethics
- Environmental Engineering
- Energy Systems
- Environmental Management
- Geophysical Engineering
- Marine Engineering
- Mineral and Mine Engineering
- Ocean and River Engineering
- Other Environmental Engineering
- Remote Sensing

- Energy Systems
- Industrial Biotechnology
- Bio Materials
- Biocatalysis and Enzyme Technology
- Biochemicals
- Bioenergy
- Bioengineering Equipment
- Bioprocess Technology
- Medical Biotechnology
- Other Industrial Biotechnology
- Pharmaceutical Biotechnology

- Bio Materials
- Materials Engineering
- Ceramics
- Composite Science and Engineering
- Manufacturing, Surface and Joining Technology
- Metallurgy and Metallic Materials
- Other Materials Engineering
- Paper, Pulp and Fiber Technology
- Textile, Rubber and Polymeric Materials

- Ceramics
- Mechanical Engineering
- Aerospace Engineering
- Applied Mechanics
- Energy Engineering
- Fluid Mechanics and Acoustics
- Other Mechanical Engineering
- Production Engineering, Human Work Science and Ergonomics
- Reliability and Maintenance
- Tribology (Interacting Surfaces including Friction, Lubrication and Wear)
- Vehicle Engineering

- Aerospace Engineering
- Medical Engineering
- Medical Equipment Engineering
- Medical Ergonomics
- Medical Image Processing
- Medical Laboratory and Measurements Technologies
- Medical Materials
- Other Medical Engineering

- Medical Equipment Engineering
- Nano Technology
- Other Engineering and Technologies
- Food Engineering
- Interaction Technologies
- Media Engineering
- Other Engineering and Technologies not elsewhere specified

- Food Engineering

- Chemical Engineering
- Humanities and the Arts
- Arts
- Architecture
- Art History
- Design
- Literary Composition
- Music
- Musicology
- Performing Art Studies
- Performing Arts
- Studies on Film
- Visual Arts

- Architecture
- History and Archaeology
- Archaeology
- History of Technology
- History

- Archaeology
- Languages and Literature
- General Language Studies and Linguistics
- General Literature Studies
- Specific Languages
- Specific Literatures

- General Language Studies and Linguistics
- Other Humanities
- Classical Archaeology and Ancient History
- Cultural Studies
- Ethnology
- Other Humanities not elsewhere specified

- Classical Archaeology and Ancient History
- Philosophy, Ethics and Religion
- Ethics
- History of Ideas
- History of Religions
- Philosophy
- Religious Studies

- Ethics

- Arts
- Medical and Health Sciences
- Basic Medicine
- Cell and Molecular Biology
- Immunology in the medical area
- Medical Genetics
- Medicinal Chemistry
- Microbiology in the medical area
- Neurosciences
- Other Basic Medicine
- Pharmaceutical Sciences
- Pharmacology and Toxicology
- Physiology
- Social and Clinical Pharmacy

- Cell and Molecular Biology
- Clinical Medicine
- Anesthesiology and Intensive Care
- Cancer and Oncology
- Cardiac and Cardiovascular Systems
- Clinical Laboratory Medicine
- Dentistry
- Dermatology and Venereal Diseases
- Endocrinology and Diabetes
- Gastroenterology and Hepatology
- General Practice
- Geriatrics
- Hematology
- Infectious Medicine
- Neurology
- Obstetrics, Gynecology and Reproductive Medicine
- Ophthalmology
- Orthopaedics
- Other Clinical Medicine
- Otorhinolaryngology
- Pediatrics
- Psychiatry
- Radiology, Nuclear Medicine and Medical Imaging
- Respiratory Medicine and Allergy
- Rheumatology and Autoimmunity
- Surgery
- Urology and Nephrology

- Anesthesiology and Intensive Care
- Health Sciences
- Health Care Service and Management, Health Policy and Services and Health Economy
- Medical Ethics
- Nursing
- Nutrition and Dietetics
- Occupational Health and Environmental Health
- Occupational Therapy
- Other Health Sciences
- Physiotherapy
- Public Health, Global Health, Social Medicine and Epidemiology
- Sport and Fitness Sciences
- Substance Abuse

- Health Care Service and Management, Health Policy and Services and Health Economy
- Medical Biotechnology
- Biomaterials Science
- Biomedical Laboratory Science/Technology
- Medical Biotechnology (with a focus on Cell Biology (including Stem Cell Biology), Molecular Biology, Microbiology, Biochemistry or Biopharmacy)
- Other Medical Biotechnology

- Biomaterials Science
- Other Medical Sciences
- Forensic Science
- Gerontology, specialising in Medical and Health Sciences
- Other Medical Sciences not elsewhere specified

- Forensic Science

- Basic Medicine
- Natural Sciences
- Biological Sciences
- Behavioral Sciences Biology
- Biochemistry and Molecular Biology
- Bioinformatics and Systems Biology
- Biological Systematics
- Biophysics
- Botany
- Cell Biology
- Developmental Biology
- Ecology
- Evolutionary Biology
- Genetics
- Immunology
- Microbiology
- Other Biological Topics
- Structural Biology
- Zoology

- Behavioral Sciences Biology
- Chemical Sciences
- Analytical Chemistry
- Inorganic Chemistry
- Materials Chemistry
- Organic Chemistry
- Other Chemistry Topics
- Physical Chemistry
- Polymer Chemistry
- Theoretical Chemistry

- Analytical Chemistry
- Computer and Information Sciences
- Bioinformatics (Computational Biology)
- Computer Engineering
- Computer Sciences
- Computer Vision and Robotics (Autonomous Systems)
- Human Computer Interaction
- Information Systems
- Language Technology (Computational Linguistics)
- Media and Communication Technology
- Other Computer and Information Science
- Software Engineering

- Bioinformatics (Computational Biology)
- Earth and Related Environmental Sciences
- Climate Research
- Environmental Sciences
- Geochemistry
- Geology
- Geophysics
- Geosciences, Multidisciplinary
- Meteorology and Atmospheric Sciences
- Oceanography, Hydrology and Water Resources
- Other Earth and Related Environmental Sciences
- Physical Geography

- Climate Research
- Mathematics
- Algebra and Logic
- Computational Mathematics
- Discrete Mathematics
- Geometry
- Mathematical Analysis
- Other Mathematics
- Probability Theory and Statistics

- Algebra and Logic
- Other Natural Sciences
- Physical Sciences
- Accelerator Physics and Instrumentation
- Astronomy, Astrophysics and Cosmology
- Atom and Molecular Physics and Optics
- Condensed Matter Physics
- Fusion, Plasma and Space Physics
- Other Physics Topics
- Subatomic Physics

- Accelerator Physics and Instrumentation

- Biological Sciences
- Social Sciences
- Economics and Business
- Business Administration
- Economic History
- Economics

- Business Administration
- Educational Sciences
- Didactics
- Learning
- Pedagogical Work
- Pedagogy

- Didactics
- Law
- Law (excluding Law and Society)
- Law and Society

- Law (excluding Law and Society)
- Media and Communications
- Communication Studies
- Human Aspects of ICT
- Information Studies
- Information Systems, Social aspects
- Media Studies

- Communication Studies
- Other Social Sciences
- Gender Studies
- International Migration and Ethnic Relations
- Other Social Sciences not elsewhere specified
- Social Sciences Interdisciplinary
- Work Sciences

- Gender Studies
- Political Science
- Globalisation Studies
- Political Science (excluding Public Administration Studies and Globalisation Studies)
- Public Administration Studies

- Globalisation Studies
- Psychology
- Applied Psychology
- Psychology (excluding Applied Psychology)

- Applied Psychology
- Social and Economic Geography
- Economic Geography
- Human Geography

- Economic Geography
- Sociology
- Social Anthropology
- Social Psychology
- Social Work
- Sociology (excluding Social Work, Social Psychology and Social Anthropology)

- Social Anthropology

- Economics and Business

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- Aerospace Engineering
- Applied and Computational Mathematics
- Mathematical Statistics
- Numerical Analysis
- Optimization and Systems Theory

- Mathematical Statistics
- Applied Medical Technology
- Architecture
- Art, Technology and Design
- Biological Physics
- Biotechnology
- Business Studies
- Chemical Engineering
- Chemistry
- Civil and Architectural Engineering
- Computer Science
- Economics
- Education and Communication in the Technological Sciences
- Electrical Engineering
- Energy Technology
- Engineering Mechanics
- Fibre and Polymer Science
- Geodesy and Geoinformatics
- History of Science, Technology and Environment
- Human-computer Interaction
- Industrial Ecology
- Industrial Economics and Management
- Industrial Information and Control Systems
- Information and Communication Technology
- Järnvägsgruppen - Effektiva tågsystem för godstrafik
- Järnvägsgruppen - Effektiva tågsystem för persontrafik
- Järnvägsgruppen - Elsystem
- Järnvägsgruppen - Fordonsteknik
- Järnvägsgruppen - Gröna tåget
- Järnvägsgruppen - Infrastruktur
- Järnvägsgruppen - Kapacitet
- Järnvägsgruppen - Ljud och vibrationer
- Land and Water Resources Engineering
- Machine Design
- Materials Science and Engineering
- Mathematics
- Media Technology
- Medical Technology
- Metallurgical process science
- Philosophy
- Physics
- Atomic, Subatomic and Astrophysics
- Biological and Biomedical Physics
- Material and Nano Physics
- Nuclear Engineering
- Optics and Photonics
- Theoretical Physics

- Atomic, Subatomic and Astrophysics
- Planning and Decision Analysis
- Production Engineering
- Real Estate and Construction Management
- Solid Mechanics
- Speech and Music Communication
- SRA - E-Science (SeRC)
- SRA - Energy
- SRA - ICT
- SRA - Molecular Bioscience
- SRA - Production
- SRA - Transport
- Technology and Health
- Technology and Learning
- Telecommunication
- The KTH Railway Group - Tribology
- Theoretical Chemistry and Biology
- Transport Science
- transportsystem

- transportsystem
- Vehicle and Maritime Engineering

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- Bachelor of Science in Engineering
- Bachelor of Science in Engineering - Constructional Engineering and Design
- Bachelor of Science in Engineering - Constructional Engineering and Economics
- Bachelor of Science in Engineering - Chemical Engineering
- Bachelor of Science in Engineering - Computer Engineering and Economics
- Bachelor of Science in Engineering - Computer Engineering
- Bachelor of Science in Engineering - Computer Engineering
- Bachelor of Science in Engineering - Constructional Engineering and Health
- Bachelor of Science in Engineering - Electrical Engineering and Economics
- Bachelor of Science in Engineering - Electrical Engineering
- Bachelor of Science in Engineering - Electrical Engineering
- Bachelor of Science in Engineering - Electronics and Computer Engineering
- Bachelor of Science in Engineering - Engineering and Economics
- Bachelor of Science in Engineering - Mechanical Engineering and Economics
- Bachelor of Science in Engineering - Mechanical Engineering
- Bachelor of Science in Engineering - Medical Technology

- Bachelor of Science in Engineering - Constructional Engineering and Design
- Bachelor of Science
- Bachelor of Science - Architecture
- Bachelor of Science - Business Engineering
- Bachelor of Science - Energy and Environment
- Bachelor of Science - Information and Communication Technology
- Bachelor of Science - Medical Informatics
- Bachelor of Science - Property Development and Agency
- Bachelor of Science - Real Estate and Finance
- Bachelor of Science - Simulation Technology and Virtual Design

- Bachelor of Science - Architecture
- Degree of Master
- Degree of Master - Design and Building
- Master of Science - Applied Logistics
- Master of Science - Architectural Lighting Design
- Master of Science - Computer Networks
- Master of Science - Entrepreneurship and Innovation Management
- Master of Science - Ergonomics and Human-Technology-Organisation
- Master of Science - Product Realisation
- Master of Science - Project Management and Operational Development
- Master of Science - Work and Health
- Teknologie magisterexamen - Teknik, hälsa och arbetsmiljöutveckling

- Degree of Master - Design and Building
- Degree of Master
- Degree of Master - Architectural Enginering
- Degree of Master - Urbanism Studies
- Degree of Master - Chemical Engineering for Energy and Environment
- Degree of Master - Civil and Architectural Engineering
- Degree of Master - Economics of Innovation and Growth
- Degree of Master - Environmental Engineering and Sustainable Infrastructure
- Degree of Master - Geodesy and Geoinformatics
- Degree of Master - Infrastructure Engineering
- Degree of Master - Land Management
- Degree of Master - Macromolecular Materials
- Degree of Master - Materials and Sensors System for Environmental Technologies
- Degree of Master - Molecular Science and Engineering
- Degree of Master - Real Estate Development and Financial Services
- Degree of Master - Spatial Planning
- Degree of Master - Sustainable Urban Planning and Design
- Degree of Master - Transport Systems
- Degree of Master - Urban Planning and Design
- Degree of Master - Water System Technology
- Master of Science - Aerospace Engineering
- Master of Science - Applied and Computational Mathematics
- Master of Science - Architectural Lighting Design and Health
- Master of Science - Architecture
- Master of Science - Computational and Systems Biology
- Master of Science - Computational Chemistry and Computational Physics
- Master of Science - Computer Science
- Master of Science - Computer Simulation for Science and Engineering
- Master of Science - Design and Implementation of ICT Products and Systems
- Master of Science - Distributed Computing
- Master of Science - Electric Power Engineering
- Master of Science - Electrophysics
- Master of Science - Embedded Systems
- Master of Science - Engineeering Physics
- Master of Science - Engineering and Management of Information Systems
- Master of Science - Engineering Design
- Master of Science - Engineering Materials Science
- Master of Science - Engineering Mechanics
- Master of Science - Environomical Pathways for Sustainable Energy Systems
- Master of Science - Human-Computer Interaction
- Master of Science - Industrial and Environmental Biotechnology
- Master of Science - Industrial Engineering and Management
- Master of Science - Information and Communication Systems Security
- Master of Science - Information and Network Engineering
- Master of Science - Innovative Sustainable Energy Engineering
- Master of Science - Integrated Product Design
- Master of Science - Interactive Systems Engineering
- Master of Science - Internetworking
- Master of Science - Machine Learning
- Master of Science - Management and Engineering of Environment and Energy
- Master of Science - Maritime Engineering
- Master of Science - Materials Science and Engineering
- Master of Science - Mathematics
- Master of Science - Media Management
- Master of Science - Media Technology
- Master of Science - Medical Biotechnology
- Master of Science - Medical Engineering
- Master of Science - Nanotechnology
- Master of Science - Naval Architecture
- Master of Science - Network Services and Systems
- Master of Science - Nuclear Energy Engineering
- Master of Science - Nuclear Fusion Science and Engineering Physics
- Master of Science - Photonics
- Master of Science - Production Engineering and Management
- Master of Science - Real Estate Management
- Master of Science - School of Electrical Engineering (EES) - Master of Science - Research on Information and Communication Technologies
- Master of Science - Scientific Computing
- Master of Science - Software Engineering of Distributed Systems
- Master of Science - Sustainable Energy Engineering
- Master of Science - Sustainable Technology
- Master of Science - System-on-Chip Design
- Master of Science - Systems Biology
- Master of Science - Systems, Control and Robotics
- Master of Science - Transport and Geoinformation Technology
- Master of Science - Turbomachinery Aeromechanic University Training
- Master of Science - Vehicle Engineering
- Master of Science - Wireless Systems
- Master of Science -Communication Systems
- Master of Science -Medical Imaging
- Master of Science -Security and Mobile Computing

- Degree of Master - Architectural Enginering
- Higher Education Diploma
- Higher Education Diploma - Construction Management
- Higher Education Diploma - Constructional Technology and Real Estate Agency

- Higher Education Diploma - Construction Management
- Master of Architecture
- Master of Architecture - Architecture

- Master of Architecture - Architecture
- Master of Science in Engineering
- Master of Science in Engineering - Electrical Engineering
- Master of Science in Engineering - Biotechnology
- Master of Science in Engineering - Chemical Science and Engineering
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1. Andersson, John PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_0_j_idt584",{id:"formSmash:items:resultList:0:j_idt584",widgetVar:"widget_formSmash_items_resultList_0_j_idt584",onLabel:"Andersson, John ",offLabel:"Andersson, John ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:0:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:0:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Free boundary problems and global solutions in half spaces2005Doctoral thesis, comprehensive summary (Other scientific)2. Andréasson, Fredrik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_1_j_idt584",{id:"formSmash:items:resultList:1:j_idt584",widgetVar:"widget_formSmash_items_resultList_1_j_idt584",onLabel:"Andréasson, Fredrik ",offLabel:"Andréasson, Fredrik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:1:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:1:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Higher order differentials and generalized Cartan-de Rham complexes2003Doctoral thesis, monograph (Other scientific)3. Arakelyan, Avetik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_2_j_idt584",{id:"formSmash:items:resultList:2:j_idt584",widgetVar:"widget_formSmash_items_resultList_2_j_idt584",onLabel:"Arakelyan, Avetik ",offLabel:"Arakelyan, Avetik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:2:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:2:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The Finite Difference Methods for Multi-phase Free Boundary Problems2011Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_2_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:2:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_2_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consist of an introduction and four research papers concerning numerical analysis for a certain class of free boundary problems.

Paper I is devoted to the numerical analysis of the so-called two-phase membrane problem. Projected Gauss-Seidel method is constructed. We prove general convergence of the algorithm as well as obtain the error estimate for the finite difference scheme.

In Paper II we have improved known results on the error estimates for a Classical Obstacle (One-Phase) Problem with a finite difference scheme.

Paper III deals with the parabolic version of the two-phase obstacle-like problem. We introduce a certain variational form, which allows us to definea notion of viscosity solution. The uniqueness of viscosity solution is proved, and numerical nonlinear Gauss-Seidel method is constructed.

In the last paper, we study a numerical approximation for a class of stationary states for reaction-diffusion system with m densities having disjoint support. The proof of convergence of the numerical method is given in some particular cases. We also apply our numerical simulations for the spatial segregation limit of diffusive Lotka-Volterra models in presence of high competition and inhomogeneous Dirichlet boundary conditions.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:2:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 4. Arnarson, Teitur PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_3_j_idt584",{id:"formSmash:items:resultList:3:j_idt584",widgetVar:"widget_formSmash_items_resultList_3_j_idt584",onLabel:"Arnarson, Teitur ",offLabel:"Arnarson, Teitur ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:3:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:3:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PDE methods for free boundary problems in financial mathematics2008Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_3_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:3:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_3_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We consider different aspects of free boundary problems that have financial applications. Papers I–III deal with American option pricing, in which case the boundary is called the early exercise boundary and separates the region where to hold the option from the region where to exercise it. In Papers I–II we obtain boundary regularity results by local analysis of the PDEs involved and in Paper III we perform local analysis of the corresponding stochastic representation.

The last paper is different in its character as we are dealing with an optimal switching problem, where a switching of state occurs when the underlying process crosses a free boundary. Here we obtain existence and regularity results of the viscosity solutions to the involved system of variational inequalities.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:3:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 5. Arnlind, Joakim PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_4_j_idt584",{id:"formSmash:items:resultList:4:j_idt584",widgetVar:"widget_formSmash_items_resultList_4_j_idt584",onLabel:"Arnlind, Joakim ",offLabel:"Arnlind, Joakim ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:4:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:4:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Eigenvalue dynamics and membrane solutions2004Licentiate thesis, comprehensive summary (Other scientific)6. Arnlind, Joakim PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_5_j_idt584",{id:"formSmash:items:resultList:5:j_idt584",widgetVar:"widget_formSmash_items_resultList_5_j_idt584",onLabel:"Arnlind, Joakim ",offLabel:"Arnlind, Joakim ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:5:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:5:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Graph Techniques for Matrix Equations and Eigenvalue Dynamics2008Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_5_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:5:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_5_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); One way to construct noncommutative analogues of a Riemannian manifold Σ is to make use of the Toeplitz quantization procedure. In Paper III and IV, we construct C-algebras for a continuously deformable class of spheres and tori, and by introducing the directed graph of a representation, we can completely characterize the representation theory of these algebras in terms of the corresponding graphs. It turns out that the irreducible representations are indexed by the periodic orbits and N-strings of an iterated map s:(reals)

^{2}→(reals)^{2 }associated to the algebra. As our construction allows for transitions between spheres and tori (passing through a singular surface), one easily sees how the structure of the matrices changes as the topology changes.In Paper II, noncommutative analogues of minimal surface and membrane equations are constructed and new solutions are presented -- some of which correspond to minimal tori embedded in

*S*^{7}.Paper I is concerned with the problem of finding differential equations for the eigenvalues of a symmetric N × N matrix satisfying Xdd=0.

Namely, by finding

*N*(*N*-1)/2 suitable conserved quantities, the time-evolution of X (with arbitrary initial conditions), is reduced to non-linear equations involving only the eigenvalues of Χ.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:5:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 7. Aspenberg, Magnus PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_6_j_idt584",{id:"formSmash:items:resultList:6:j_idt584",widgetVar:"widget_formSmash_items_resultList_6_j_idt584",onLabel:"Aspenberg, Magnus ",offLabel:"Aspenberg, Magnus ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:6:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:6:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The Collet-Eckmann condition for rational functions on the Riemann sphere2004Doctoral thesis, monograph (Other scientific)8. Avasjö, Agneta PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_7_j_idt584",{id:"formSmash:items:resultList:7:j_idt584",widgetVar:"widget_formSmash_items_resultList_7_j_idt584",onLabel:"Avasjö, Agneta ",offLabel:"Avasjö, Agneta ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:7:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:7:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Automata and growth functions of Coxeter groups2004Licentiate thesis, monograph (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_7_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:7:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_7_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The aim of this thesis is to study, in some detail,properties of growth functions and geodesic growth functionsfor Coxeter groups. To do this, we use the fact that allCoxeter groups, which can be defined by some simple rules on apresentation by generators and relators, are described byformal languages which satisfy rather strong finitaryconditions. By connecting the context of groups with that offormal languages and constructing finite state automata for thelanguages N(G, S) and L(G, S) we make explicit algorithmiccomputations of the corresponding growth functions of the groupG.

As a test-case we choose the subclass of triangle groups,which are defined in a purely geometric way as groups generatedby reflections with respect to the sides of a triangle. Thetheorems and the methods shown are however valid for allCoxeter groups. The construction of the automatons is based ona representation of a Coxeter group by linear transformationsacting on a vector space. The key notion here is that of a rootsystem. We demonstrate that the growth series and the growthseries of geodesics associated with a Coxeter system can bothbe given by rational expressions.

Triangle groups (except for a finite number) are naturallyorganized into a few infinite series, and we were able toperform our computations for these infinite series, with one orseveral parameter tending to infinity. We give graphicalrepresentations of the constructed automata as well as resultsof numerical computations of the corresponding growthfunctions.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:7:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 9. Beliaev, Dmitri PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_8_j_idt584",{id:"formSmash:items:resultList:8:j_idt584",widgetVar:"widget_formSmash_items_resultList_8_j_idt584",onLabel:"Beliaev, Dmitri ",offLabel:"Beliaev, Dmitri ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:8:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:8:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Harmonic measure on random fractals2005Doctoral thesis, monograph (Other scientific)10. Bender, Martin PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_9_j_idt584",{id:"formSmash:items:resultList:9:j_idt584",widgetVar:"widget_formSmash_items_resultList_9_j_idt584",onLabel:"Bender, Martin ",offLabel:"Bender, Martin ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:9:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:9:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Limit theorems for generalizations of GUE random matrices2008Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_9_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:9:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_9_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of two papers devoted to the asymptotics of random matrix ensembles and measure valued stochastic processes which can be considered as generalizations of the Gaussian unitary ensemble (GUE) of Hermitian matrices H=A+A

^{†}, where the entries of A are independent identically distributed (iid) centered complex Gaussian random variables.In the first paper, a system of interacting diffusing particles on the real line is studied; special cases include the eigenvalue dynamics of matrix-valued Ornstein-Uhlenbeck processes (Dyson's Brownian motion). It is known that the empirical measure process converges weakly to a deterministic measure-valued function and that the appropriately rescaled fluctuations around this limit converge weakly to a Gaussian distribution-valued process. For a large class of analytic test functions, explicit formulae are derived for the mean and covariance functionals of this fluctuation process.

The second paper concerns a family of random matrix ensembles interpolating between the GUE and the Ginibre ensemble of

*n*x*n*matrices with iid centered complex Gaussian entries. The asymptotic spectral distribution in these models is uniform in an ellipse in the complex plane, which collapses to an interval of the real line as the degree of non-Hermiticity diminishes. Scaling limit theorems are proven for the eigenvalue point process at the rightmost edge of the spectrum, and it is shown that a non-trivial transition occurs between Poisson and Airy point process statistics when the ratio of the axes of the supporting ellipse is of order*n**-1*^{/3}.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:9:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 11. Bjerklöv, Kristian PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_10_j_idt584",{id:"formSmash:items:resultList:10:j_idt584",widgetVar:"widget_formSmash_items_resultList_10_j_idt584",onLabel:"Bjerklöv, Kristian ",offLabel:"Bjerklöv, Kristian ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:10:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:10:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Dynamical Properties of Quasi-periodic Schrödinger Equations2003Doctoral thesis, comprehensive summary (Other academic)12. Björklund, Michael PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_11_j_idt584",{id:"formSmash:items:resultList:11:j_idt584",widgetVar:"widget_formSmash_items_resultList_11_j_idt584",onLabel:"Björklund, Michael ",offLabel:"Björklund, Michael ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:11:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:11:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Limit Theorems for Ergodic Group Actions and Random Walks2009Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_11_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:11:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_11_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of an introduction, a summary and 7 papers. The papers are devoted to problems in ergodic theory, equidistribution on compact manifolds and random walks on groups.

In Papers A and B, we generalize two classical ergodic theorems for actions of abelian groups. The main result is a generalization of Kingman’s subadditive ergodic theorem to ergodic actions of the group Zd.

In Papers C,D and E, we consider equidistribution problems on nilmanifolds. In Paper C we study the asymptotic behavior of dilations of probability measures on nilmanifolds, supported on singular sets, and prove, under some technical assumptions, effective convergences to Haar measure. In Paper D, we give a new geometric proof of an old result by Koksma on almost sure equidistribution of expansive sequences. In paper E we give necessary and sufficient conditions on a probability measure on a homogeneous Riemannian manifold to be non–atomic.

Papers F and G are concerned with the asymptotic behavior of random walks on groups. In Paper F we consider homogeneous random walks on Gromov hyperbolic groups and establish a central limit theorem for random walks satisfying some technical moment conditions. Paper G is devoted to certain Bernoulli convolutions and the regularity of their value distributions.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:11:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 13. Björnberg, Jakob Erik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_12_j_idt584",{id:"formSmash:items:resultList:12:j_idt584",widgetVar:"widget_formSmash_items_resultList_12_j_idt584",onLabel:"Björnberg, Jakob Erik ",offLabel:"Björnberg, Jakob Erik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:12:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:12:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Graphical representations of Ising and Potts models: Stochastic geometry of the quantum Ising model and the space-time Potts model2009Doctoral thesis, monograph (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_12_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:12:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_12_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); HTML clipboard Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic properties as external conditions are varied. Two models in particular are of great interest to mathematicians, namely the Ising model of a magnet and the percolation model of a porous solid. These models in turn are part of the unifying framework of the random-cluster representation, a model for random graphs which was first studied by Fortuin and Kasteleyn in the 1970’s. The random-cluster representation has proved extremely useful in proving important facts about the Ising model and similar models.

In this work we study the corresponding graphical framework for two related models. The first model is the transverse field quantum Ising model, an extension of the original Ising model which was introduced by Lieb, Schultz and Mattis in the 1960’s. The second model is the space–time percolation process, which is closely related to the contact model for the spread of disease. In Chapter 2 we define the appropriate space–time random-cluster model and explore a range of useful probabilistic techniques for studying it. The space– time Potts model emerges as a natural generalization of the quantum Ising model. The basic properties of the phase transitions in these models are treated in this chapter, such as the fact that there is at most one unbounded fk-cluster, and the resulting lower bound on the critical value in .

In Chapter 3 we develop an alternative graphical representation of the quantum Ising model, called the random-parity representation. This representation is based on the random-current representation of the classical Ising model, and allows us to study in much greater detail the phase transition and critical behaviour. A major aim of this chapter is to prove sharpness of the phase transition in the quantum Ising model—a central issue in the theory— and to establish bounds on some critical exponents. We address these issues by using the random-parity representation to establish certain differential inequalities, integration of which gives the results.

In Chapter 4 we explore some consequences and possible extensions of the results established in Chapters 2 and 3. For example, we determine the critical point for the quantum Ising model in and in ‘star-like’ geometries.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:12:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 14. Blomgren, Martin PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_13_j_idt584",{id:"formSmash:items:resultList:13:j_idt584",widgetVar:"widget_formSmash_items_resultList_13_j_idt584",onLabel:"Blomgren, Martin ",offLabel:"Blomgren, Martin ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:13:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:13:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Fibrations and Idempotent Functors2011Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_13_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:13:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_13_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of two articles. Both articles concern homotopical algebra. In Paper I we study functors indexed by a small category into a model category whose value at each morphism is a weak equivalence. We show that the category of such functors can be understood as a certain mapping space. Specializing to topological spaces, this result is used to reprove a classical theorem that classifies fibrations with a fixed base and homotopy fiber. In Paper II we study augmented idempotent functors, i.e., co-localizations, operating on the category of groups. We relate these functors to cellular coverings of groups and show that a number of properties, such as finiteness, nilpotency etc., are preserved by such functors. Furthermore, we classify the values that such functors can take upon finite simple groups and give an explicit construction of such values.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:13:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 15. Bosk, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_14_j_idt584",{id:"formSmash:items:resultList:14:j_idt584",widgetVar:"widget_formSmash_items_resultList_14_j_idt584",onLabel:"Bosk, Daniel ",offLabel:"Bosk, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:14:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:14:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); En formalisering av matematiken i svensk gymnasieundervisning2011Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesisAbstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_14_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:14:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_14_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This study examines how formal mathematics can be taught in the Swedish secondary school with its new curriculum for mathematics. The study examines what a teaching material in formal mathematics corresponding to the initial content of the course Mathematics 1c could look like, and whether formal mathematics can be taught to high school students.

The survey was conducted with second year students from the science programme. The majority of these students studied the course Mathematics D. The students described themselves as not being motivated towards mathematics.

The results show that the content of the curriculum can be presented with formal mathematics. This both in terms of requirements for content and students being able to comprehend this content. The curriculum also requires that this type of mathematics is introduced in the course Mathematics 1c.

The results also show that students are open towards and want more formal mathematics in their ordinary education. They initially felt it was strange because they had never encountered this type of mathematics before, but some students found the formal mathematics to be easier than the mathematics ordinarily presented in class.

The study ﬁnds no reason to postpone the meeting with the formal mathematics to university level. Students’ commitment to proof and their comprehention of content suggests that formal mathematics can be introduced in high school courses. This study thus concludes that the new secondary school course Mathematics 1c can be formalised and therefore makes possible a renewed mathematics education.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:14:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 16. Bozorgnia, Farid PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_15_j_idt584",{id:"formSmash:items:resultList:15:j_idt584",widgetVar:"widget_formSmash_items_resultList_15_j_idt584",onLabel:"Bozorgnia, Farid ",offLabel:"Bozorgnia, Farid ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:15:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:15:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Numerical Algorithms for Free Boundary Problems of Obstacle Types2009Doctoral thesis, comprehensive summary (Other academic)17. Carlqvist, Håkan PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_16_j_idt584",{id:"formSmash:items:resultList:16:j_idt584",widgetVar:"widget_formSmash_items_resultList_16_j_idt584",onLabel:"Carlqvist, Håkan ",offLabel:"Carlqvist, Håkan ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:16:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:16:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Multiscale analysis of multi-channel signals2005Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_16_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:16:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_16_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); **I: Amplitude and phase relationship between alpha and beta oscillations in the human EEG**We have studied the relation between two oscillatory patterns within EEG signals (oscillations with main frequency 10 Hz and 20 Hz), with wavelet-based methods. For better comparison, a variant of the continuous wavelet transform, was derived. As a conclusion, the two patterns were closely related and 70-90 % of the activity in the 20 Hz pattern could be seen as a resonance phenomenon of the 10 Hz activity.**II: A local discriminant basis algorithm using wavelet packets for discrimination between classes of multidimensional signals**We have improved and extended the local discriminant basis algorithm for application on multidimensional signals appearing from multichannels. The improvements includes principal-component analysis and crossvalidation- leave-one out. The method is furthermore applied on two classes of EEG signals, one group of control subjects and one group of subjects with type I diabetes. There was a clear discrimination between the two groups. The discrimination follows known differences in the EEG between the two groups of subjects.**III: Improved classification of multidimensional signals using orthogonality properties of a time-frequency library**We further improve and refine the method in paper2 and apply it on 4 classes of EEG signals from subjects differing in age and/or sex, which are known factors of EEG alterations. As a method for deciding the best basis we derive an orthogonalbasis- pursuit-like algorithm which works statistically better (Tukey's test for simultaneous confidence intervals) than the basis selection method in the original local discriminant basis algorithm. Other methods included were Fisher's class separability, partial-least-squares and cross-validation-leave-one-subject out. The two groups of younger subjects were almost fully discriminated between each other and to the other groups, while the older subjects were harder to discriminate.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:16:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 18. Cukic, Sonja PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_17_j_idt584",{id:"formSmash:items:resultList:17:j_idt584",widgetVar:"widget_formSmash_items_resultList_17_j_idt584",onLabel:"Cukic, Sonja ",offLabel:"Cukic, Sonja ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:17:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:17:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Topological properties of complexes of graph homomorphisms2004Licentiate thesis, comprehensive summary (Other scientific)19. Duzhin, Fedor S. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_18_j_idt584",{id:"formSmash:items:resultList:18:j_idt584",widgetVar:"widget_formSmash_items_resultList_18_j_idt584",onLabel:"Duzhin, Fedor S. ",offLabel:"Duzhin, Fedor S. ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:18:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:18:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Lower estimates for a number of closed trajectories of generalized billiards2005Doctoral thesis, monograph (Other scientific)20. Ekholm, Tomas PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_19_j_idt584",{id:"formSmash:items:resultList:19:j_idt584",widgetVar:"widget_formSmash_items_resultList_19_j_idt584",onLabel:"Ekholm, Tomas ",offLabel:"Ekholm, Tomas ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:19:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:19:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Schrödinger Operators in Waveguides2005Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_19_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:19:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_19_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this thesis, which consists of four papers, we study the discrete spectrum of Schrödinger operators in waveguides. In these domains the quadratic form of the Dirichlet Laplacian operator does not satisfy any Hardy inequality. If we include an attractive electric potential in the model or curve the domain, then bound states will always occur with energy below the bottom of the essential spectrum. We prove that a magnetic field stabilises the threshold of the essential spectrum against small perturbations. We deduce this fact from a magnetic Hardy inequality, which has many interesting applications in itself.

In Paper I we prove the magnetic Hardy inequality in a two-dimensional waveguide. As an application, we establish that when a magnetic field is present, a small local deformation or a small local bending of the waveguide will not create bound states below the essential spectrum.

In Paper II we study the Dirichlet Laplacian operator in a three-dimensional waveguide, whose cross-section is not rotationally invariant. We prove that if the waveguide is locally twisted, then the lower edge of the spectrum becomes stable. We deduce this from a Hardy inequality.

In Paper III we consider the magnetic Schrödinger operator in a three-dimensional waveguide with circular cross-section. If we include an attractive potential, eigenvalues may occur below the bottom of the essential spectrum. We prove a magnetic Lieb-Thirring inequality for these eigenvalues. In the same paper we give a lower bound on the ground state of the magnetic Schrödinger operator in a disc. This lower bound is used to prove a Hardy inequality for the magnetic Schrödinger operator in the original waveguide setting.

In Paper IV we again study the two-dimensional waveguide. It is known that if the boundary condition is changed locally from Dirichlet to magnetic Neumann, then without a magnetic field bound states will occur with energies below the essential spectrum. We however prove that in the presence of a magnetic field, there is a critical minimal length of the magnetic Neumann boundary condition above which the system exhibits bound states below the threshold of the essential spectrum. We also give explicit bounds on the critical length from above and below.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:19:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 21. Eklund, David PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_20_j_idt584",{id:"formSmash:items:resultList:20:j_idt584",widgetVar:"widget_formSmash_items_resultList_20_j_idt584",onLabel:"Eklund, David ",offLabel:"Eklund, David ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:20:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:20:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Algebraic C*-actions and homotopy continuation2008Licentiate thesis, monograph (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_20_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:20:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_20_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Let X be a smooth projective variety over C equipped with a C*-action whose fixed points are isolated. Let Y and Z be subvarieties of complementary dimentions in X which intersect properly. In this thesis we present an algorithm for computing the points of intersection between Y and Z based on homotopy continuation and the Bialynicki-Birula decompositions of X into locally closed invariant subsets. As an application we present a new solution to the inverse kinematic problem of a general six-revolute serial-link manipulator.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:20:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 22. Eklund, David PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_21_j_idt584",{id:"formSmash:items:resultList:21:j_idt584",widgetVar:"widget_formSmash_items_resultList_21_j_idt584",onLabel:"Eklund, David ",offLabel:"Eklund, David ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:21:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:21:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Topics in computation, numerical methods and algebraic geometry2010Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_21_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:21:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_21_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis concerns computation and algebraic geometry. On the computational side we have focused on numerical homotopy methods. These procedures may be used to numerically solve systems of polynomial equations. The thesis contains four papers.

In Paper I and Paper II we apply continuation techniques, as well as symbolic algorithms, to formulate methods to compute Chern classes of smooth algebraic varieties. More specifically, in Paper I we give an algorithm to compute the degrees of the Chern classes of smooth projective varieties and in Paper II we extend these ideas to cover also the degrees of intersections of Chern classes.

In Paper III we formulate a numerical homotopy to compute the intersection of two complementary dimensional subvarieties of a smooth quadric hypersurface in projective space. If the two subvarieties intersect transversely, then the number of homotopy paths is optimal. As an application we give a new solution to the inverse kinematics problem of a six-revolute serial-link mechanism.

Paper IV is a study of curves on certain special quartic surfaces in projective 3-space. The surfaces are invariant under the action of a finite group called the level (2,2) Heisenberg group. In the paper, we determine the Picard group of a very general member of this family of quartics. We have found that the general Heisenberg invariant quartic contains 320 smooth conics and we prove that in the very general case, this collection of conics generates the Picard group.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:21:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 23. Enblom, Andreas PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_22_j_idt584",{id:"formSmash:items:resultList:22:j_idt584",widgetVar:"widget_formSmash_items_resultList_22_j_idt584",onLabel:"Enblom, Andreas ",offLabel:"Enblom, Andreas ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:22:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:22:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Properties of the Discrete and Continuous Spectrum of Differential Operators2009Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_22_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:22:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_22_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis contains three scientific papers devoted to the study of different spectral theoretical aspects of differential operators in Hilbert spaces.The first paper concerns the magnetic Schrödinger operator (

*i*∇ + A)^{2}in*L*^{2}(ℝ^{n}). It is proved that given certain conditions on the decay of A, the set [0,∞) is an essential support of the absolutely continuous part of the spectral measure corresponding to the operator.The second paper considers a regular d-dimensional metric tree Γ and defines Schrödinger operators - Δ - V on it. Here, V is a symmetric, non-negative potential on Γ. It is assumed that V decays like lxl^{-Γ}at infinity, where 1 < γ ≤ d ≤2, γ ≠ 2. A weak coupling constant α is introduced in front of V, and the asymptotics of the bottom of the spectrum as α → 0+ is described.The third, and last, paper revolves around fourth-order differential operators in the space*L*^{2}(ℝ^{n}), where n = 1 or n = 3. In particular, the operator (-Δ)2 - C|x|^{-4}- V(x) is studied, where*C*is the sharp constant in the Hardy-Rellich inequality. A Lieb-Thirring inequality for this operator is proved, and as a consequence a Sobolev-type inequality is obtained.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:22:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 24. Engström, Alexander PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_23_j_idt584",{id:"formSmash:items:resultList:23:j_idt584",widgetVar:"widget_formSmash_items_resultList_23_j_idt584",onLabel:"Engström, Alexander ",offLabel:"Engström, Alexander ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:23:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:23:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Topological Combinatorics2009Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_23_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:23:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_23_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis on Topological Combinatorics contains 7 papers. All of them but paper Bare published before.In paper A we prove that!i dim ˜Hi(Ind(G);Q) ! |Ind(G[D])| for any graph G andits independence complex Ind(G), under the condition that G\D is a forest. We then use acorrespondence between the ground states with i+1 fermions of a supersymmetric latticemodel on G and ˜Hi(Ind(G);Q) to deal with some questions from theoretical physics.In paper B we generalize the topological Tverberg theorem. Call a graph on the samevertex set as a (d + 1)(q − 1)-simplex a (d, q)-Tverberg graph if for any map from thesimplex to Rd there are disjoint faces F1, F2, . . . , Fq whose images intersect and no twoadjacent vertices of the graph are in the same face. We prove that if d # 1, q # 2 is aprime power, and G is a graph on (d+1)(q −1)+1 vertices such that its maximal degreeD satisfy D(D + 1) < q, then G is a (d, q)–Tverberg graph. It was earlier known that thedisjoint unions of small complete graphs, paths, and cycles are Tverberg graphs.In paper C we study the connectivity of independence complexes. If G is a graphon n vertices with maximal degree d, then it is known that its independence complex is(cn/d + !)–connected with c = 1/2. We prove that if G is claw-free then c # 2/3.In paper D we study when complexes of directed trees are shellable and how one canglue together independence complexes for finding their homotopy type.In paper E we prove a conjecture by Björner arising in the study of simplicial polytopes.The face vector and the g–vector are related by a linear transformation. We prove thatthis matrix is totaly nonnegative. This is joint work with Michael Björklund.In paper F we introduce a generalization of Hom–complexes, called set partition complexes,and prove a connectivity theorem for them. This generalizes previous results ofBabson, Cukic, and Kozlov, and questions from Ramsey theory can be described with it.In paper G we use combinatorial topology to prove algebraic properties of edge ideals.The edge ideal of G is the Stanley-Reisner ideal of the independence complex of G. Thisis joint work with Anton Dochtermann.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:23:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 25. Eriksen, Niklas PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_24_j_idt584",{id:"formSmash:items:resultList:24:j_idt584",widgetVar:"widget_formSmash_items_resultList_24_j_idt584",onLabel:"Eriksen, Niklas ",offLabel:"Eriksen, Niklas ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:24:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:24:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Combinatorial methods in comparative genomics2003Doctoral thesis, monograph (Other scientific)26. Frank, Rupert L. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt584",{id:"formSmash:items:resultList:25:j_idt584",widgetVar:"widget_formSmash_items_resultList_25_j_idt584",onLabel:"Frank, Rupert L. ",offLabel:"Frank, Rupert L. ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:25:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:25:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators2007Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:25:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_25_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type operators.

In Paper I we show that the Lieb-Thirring inequalities on moments of negative eigen¬values remain true, with possibly different constants, when the critical Hardy weight is subtracted from the Laplace operator.

In Paper II we prove that the one-dimensional analog of this inequality holds even for the critical value of the moment parameter. In Paper III we establish Hardy-Lieb-Thirring inequalities for fractional powers of the Laplace operator and, in particular, relativistic Schrödinger operators. We do so by first establishing Hardy-Sobolev inequalities for such operators. We also allow for the inclu¬sion of magnetic fields.

As an application, in Paper IV we give a proof of stability of relativistic matter with magnetic fields up to the critical value of the nuclear charge.

In Paper V we derive inequalities for moments of the real part and the modulus of the eigen¬values of Schrödinger operators with complex-valued potentials.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:25:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 27. Goodarzi, Afshin PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_26_j_idt584",{id:"formSmash:items:resultList:26:j_idt584",widgetVar:"widget_formSmash_items_resultList_26_j_idt584",onLabel:"Goodarzi, Afshin ",offLabel:"Goodarzi, Afshin ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:26:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:26:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On Face Vectors and Resolutions2014Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_26_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:26:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_26_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consist of the following three papers.

**Convex hull of face vectors of colored complexes**. In this paper we verify a conjecture by Kozlov (Discrete ComputGeom18(1997) 421–431), which describes the convex hull of theset of face vectors ofr-colorable complexes onnvertices. As partof the proof we derive a generalization of Turán’s graph theorem.

**Cellular structure for the Herzog–Takayama Resolution.**Herzog and Takayama constructed explicit resolution for the ide-als in the class of so called ideals with a regular linear quotient.This class contains all matroidal and stable ideals. The resolu-tions of matroidal and stable ideals are known to be cellular. Inthis note we show that the Herzog–Takayama resolution is alsocellular.

**Clique Vectors ofk-Connected Chordal Graphs.**The clique vectorc(G)of a graphGis the sequence(c1,c2,...,cd)inNd, whereciis the number of cliques inGwithivertices anddis the largest cardinality of a clique inG. In this note, we usetools from commutative algebra to characterize all possible cliquevectors ofk-connected chordal graphs.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:26:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 28. Greco, Ornella PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_27_j_idt584",{id:"formSmash:items:resultList:27:j_idt584",widgetVar:"widget_formSmash_items_resultList_27_j_idt584",onLabel:"Greco, Ornella ",offLabel:"Greco, Ornella ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:27:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:27:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Bounds on Hilbert Functions2013Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_27_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:27:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_27_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectorsof reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. In the second paper, we generalize the Green’s Hyperplane Restriction Theorem to the case of modules over the polynomial ring.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:27:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 29. Haimi, Antti PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_28_j_idt584",{id:"formSmash:items:resultList:28:j_idt584",widgetVar:"widget_formSmash_items_resultList_28_j_idt584",onLabel:"Haimi, Antti ",offLabel:"Haimi, Antti ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:28:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:28:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Polyanalytic Bergman Kernels2013Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_28_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:28:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_28_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The thesis consists of three articles concerning reproducing kernels ofweighted spaces of polyanalytic functions on the complex plane. In the ﬁrst paper, we study spaces of polyanalytic polynomials equipped with a Gaussianweight. In the remaining two papers, more general weight functions are considered. More precisely, we provide two methods to compute asymptotic expansions for the kernels near the diagonal and then apply the techniques to get estimates for reproducing kernels of polyanalytic polynomial spaces equipped with rather general weight functions.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:28:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 30. Hansson, Anders PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_29_j_idt584",{id:"formSmash:items:resultList:29:j_idt584",widgetVar:"widget_formSmash_items_resultList_29_j_idt584",onLabel:"Hansson, Anders ",offLabel:"Hansson, Anders ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:29:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:29:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Spectral estimates for the magnetic Schrödinger operator and the Heisenberg Laplacian2007Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_29_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:29:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_29_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this thesis, which comprises four research papers, two operators in mathe- matical physics are considered.

The former two papers contain results for the Schrödinger operator with an Aharonov-Bohm magnetic field. In Paper I we explicitly compute the spectrum and eigenfunctions of this operator in

**R**^{2}in a number of cases where a radial scalar potential and/or a constant magnetic field are superimposed. In some of the studied cases we calculate the sharp constants in the Lieb-Thirring inequality for γ = 0 and γ ≥ 1.In Paper II we prove semi-classical estimates on moments of the eigenvalues in bounded two-dimensional domains. We moreover present an example where the generalised diamagnetic inequality, conjectured by Erdős, Loss and Vougalter, fails. Numerical studies complement these results.

The latter two papers contain several spectral estimates for the Heisenberg Laplacian. In Paper III we obtain sharp inequalities for the spectrum of the Dirichlet problem in (2

*n*+ 1)-dimensional domains of finite measure.Let λ

_{k }and μk denote the eigenvalues of the Dirichlet and Neumann problems, respectively, in a domain of finite measure. N. D. Filonov has proved that the inequality_{μk+1}< λk holds for the Euclidean Laplacian. In Paper IV we extend his result to the Heisenberg Laplacian in three-dimensional domains which fulfil certain geometric conditions.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:29:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 31. Heinrich, Katharina PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_30_j_idt584",{id:"formSmash:items:resultList:30:j_idt584",widgetVar:"widget_formSmash_items_resultList_30_j_idt584",onLabel:"Heinrich, Katharina ",offLabel:"Heinrich, Katharina ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:30:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:30:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The space of Cohen-Macaulay curves2012Licentiate thesis, monograph (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_30_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:30:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_30_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this thesis we discuss a moduli space of projective curves with a map to a given projective space. The functor CM parametrizes curves, that is, Cohen-Macaulay schemes of pure dimension 1, together with a finite map to the projective space that is an isomorphism onto its image away from a finite set of closed points.

We proof that CM is an algebraic space by contructing a scheme W and a representable, surjective and smooth map from W to CM.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:30:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 32. Hultman, Axel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_31_j_idt584",{id:"formSmash:items:resultList:31:j_idt584",widgetVar:"widget_formSmash_items_resultList_31_j_idt584",onLabel:"Hultman, Axel ",offLabel:"Hultman, Axel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:31:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:31:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Combinatorial complexes, Bruhat intervals and reflection distances2003Doctoral thesis, monograph (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_31_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:31:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_31_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The various results presented in this thesis are naturallysubdivided into three different topics, namely combinatorialcomplexes, Bruhat intervals and expected reflection distances.Each topic is made up of one or several of the altogether sixpapers that constitute the thesis. The following are some of ourresults, listed by topic:

Combinatorial complexes:

Using a shellability argument, we compute the cohomologygroups of the complements of polygraph arrangements. These arethe subspace arrangements that were exploited by Mark Haiman inhis proof of the n! theorem. We also extend these results toDowling generalizations of polygraph arrangements.

We consider certain

*B*- and*D*-analogues of the quotient complex Δ(Π_{n})=*S*_{n}, i.e. the order complex of the partition latticemodulo the symmetric group, and some related complexes.Applying discrete Morse theory and an improved version of knownlexicographic shellability techniques, we determine theirhomotopy types.Given a directed graph

*G*, we study the complex of acyclic subgraphs of*G*as well as the complex of not strongly connectedsubgraphs of*G*. Known results in the case of*G*being the complete graph are generalized.We list the (isomorphism classes of) posets that appear asintervals of length 4 in the Bruhat order on some Weyl group. Inthe special case of symmetric groups, we list all occuringintervals of lengths 4 and 5.

**Expected reflection distances:**Consider a random walk in the Cayley graph of the complexreflection group*G*(*r*, 1,*n*) with respect to the generating set of reflections. Wedetermine the expected distance from the starting point after*t*steps. The symmetric group case (*r*= 1) has bearing on the biologists problem ofcomputing evolutionary distances between different genomes. Moreprecisely, it is a good approximation of the expected reversaldistance between a genome and the genome with t random reversalsapplied to it.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:31:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 33. Hønsen, Morten PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_32_j_idt584",{id:"formSmash:items:resultList:32:j_idt584",widgetVar:"widget_formSmash_items_resultList_32_j_idt584",onLabel:"Hønsen, Morten ",offLabel:"Hønsen, Morten ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:32:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:32:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Compactifying locally Cohen-Macaulay projective curves2005Doctoral thesis, monograph (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_32_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:32:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_32_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. The motivation for this definition comes from trying to interpolate between the Hilbert scheme and the Kontsevich mapping space. The main result is that our functor is represented by a proper algebraic space. As applications we obtain a new proof of the existence of Macaulayfications for varieties, and secondly, interesting compactifications of the spaces of smooth curves in projective space. We illustrate this in the case of rational quartics, where the resulting space appears easier than the Hilbert scheme.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:32:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 34. Johansson, Carl Fredrik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_33_j_idt584",{id:"formSmash:items:resultList:33:j_idt584",widgetVar:"widget_formSmash_items_resultList_33_j_idt584",onLabel:"Johansson, Carl Fredrik ",offLabel:"Johansson, Carl Fredrik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:33:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:33:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Random Loewner Chains2010Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_33_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:33:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_33_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis contains four papers and two introductory chapters. It is mainly devoted to problems concerning random growth models related to the Loewner differential equation.

In Paper I we derive a rate of convergence of the Loewner driving function for loop-erased random walk to Brownian motion with speed 2 on the unit circle, the Loewner driving function for radial SLE(2). Thereby we provide the first instance of a formal derivation of a rate of convergence for any of the discrete models known to converge to SLE.

In Paper II we use the known convergence of (radial) loop-erased random walk to radial SLE(2) to prove that the scaling limit of loop-erased random walk excursion in the upper half plane is chordal SLE(2). Our proof relies on a version of Wilson’s algorithm for weighted graphs together with a Beurling-type hitting estimate for random walk excursion. We also establish and use the convergence of the radial SLE path to the chordal SLE path as the bulk point tends to a boundary point. In the final section we sketch how to extend our results to more general domains.

In Paper III we prove an upper bound on the optimal Hölder exponent for the chordal SLE path parameterized by capacity and thereby establish the optimal exponent as conjectured by J. Lind. We also give a new proof of the lower bound. Our proofs are based on sharp estimates of moments of the derivative of the inverse SLE map. In particular, we improve an estimate of G. F. Lawler.

In Paper IV we consider radial Loewner evolutions driven by unimodular Lévy processes. We rescale the hulls of the evolution by capacity, and prove that the weak limit of the rescaled hulls exists. We then study a random growth model obtained by driving the Loewner equation with a compound Poisson process with two real parameters: the intensity of the underlying Poisson process and a localization parameter of the Poisson kernel which determines the jumps. A particular choice of parameters yields a growth process similar to the Hastings-Levitov HL(0) model. We describe the asymptotic behavior of the hulls with respect to the parameters, showing that growth tends to become localized as the jump parameter increases. We obtain deterministic evolutions in one limiting case, and Loewner evolution driven by a unimodular Cauchy process in another. We also show that the Hausdorff dimension of the limiting rescaled hulls is equal to 1.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:33:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 35. Jonsson, Jakob PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_34_j_idt584",{id:"formSmash:items:resultList:34:j_idt584",widgetVar:"widget_formSmash_items_resultList_34_j_idt584",onLabel:"Jonsson, Jakob ",offLabel:"Jonsson, Jakob ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:34:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:34:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Simplicial Complexes of Graphs2005Doctoral thesis, monograph (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_34_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:34:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_34_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Let

*G*be a finite graph with vertex set*V*and edge set E. A*graph complex*on*G*is an abstract simplicial complex consisting of subsets of*E*. In particular, we may interpret such a complex as a family of subgraphs of*G*. The subject of this thesis is the topology of graph complexes, the emphasis being placed on homology, homotopy type, connectivity degree, Cohen-Macaulayness, and Euler characteristic.We are particularly interested in the case that

*G*is the complete graph on*V*.*Monotone graph properties*are complexes on such a graph satisfying the additional condition that they are invariant under permutations of*V*. Some well-studied monotone graph properties that we discuss in this thesis are complexes of matchings, forests, bipartite graphs, disconnected graphs, and not 2-connected graphs. We present new results about several other monotone graph properties, including complexes of not 3-connected graphs and graphs not coverable by*p*vertices.Imagining the vertices as the corners of a regular polygon, we obtain another important class consisting of those graph complexes that are invariant under the natural action of the dihedral group on this polygon. The most famous example is the associahedron, whose faces are graphs without crossings inside the polygon. Restricting to matchings, forests, or bipartite graphs, we obtain other interesting complexes of noncrossing graphs. We also examine a certain "dihedral" variant of connectivity.

The third class to be examined is the class of digraph complexes. Some well-studied examples are complexes of acyclic digraphs and not strongly connected digraphs. We present new results about a few other digraph complexes, including complexes of graded digraphs and non-spanning digraphs.

Many of our proofs are based on Robin Forman's discrete version of Morse theory. As a byproduct, this thesis provides a loosely defined toolbox for attacking problems in topological combinatorics via discrete Morse theory. In terms of simplicity and power, arguably the most efficient tool is Forman's divide and conquer approach via decision trees, which we successfully apply to a large number of graph and digraph complexes.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:34:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 36. Karlsson, Ulf PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_35_j_idt584",{id:"formSmash:items:resultList:35:j_idt584",widgetVar:"widget_formSmash_items_resultList_35_j_idt584",onLabel:"Karlsson, Ulf ",offLabel:"Karlsson, Ulf ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, Superseded Departments, Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:35:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:35:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Semi-classical approximations of Quantum Mechanical problems2002Doctoral thesis, comprehensive summary (Other scientific)37. Kiessling, Jonas PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_36_j_idt584",{id:"formSmash:items:resultList:36:j_idt584",widgetVar:"widget_formSmash_items_resultList_36_j_idt584",onLabel:"Kiessling, Jonas ",offLabel:"Kiessling, Jonas ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:36:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:36:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Approximation and Calibration of Stochastic Processes in Finance2010Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_36_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:36:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_36_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis is a study of approximation and calibration of stochastic processes with applications in finance. It consists of an introduction and four research papers.

The introduction is as an overview of the role of mathematics incertain areas of finance. It contains a brief introduction to the mathematicaltheory of option pricing, as well as a description of a mathematicalmodel of a financial exchange. The introduction also includessummaries of the four research papers.

In Paper I, Markov decision theory is applied to design algorithmic trading strategies in an order driven market. A high dimensional Markov chain is used to model the state and evolution of the limit order book. Trading strategies are formulated as optimal decision problems. Conditions that guarantee existence of optimal strategies are provided, as well as a value-iterative algorithm that enables numerical construction of optimal strategies. The results are illustrated with numerical experiments on high frequency data from a foreign exchange market.

Paper II focuses on asset pricing with Lévy processes. The expected value E[g(XT )] is estimated using a Monte Carlo method, when Xt is a d-dimensional Lévy process having infinite jump activity and a smooth density. Approximating jumps smaller then a parameter ε > 0 by diffusion results in a weak approximation, Xt, of Xt. The main result of the paper is an estimate of the resulting model error E[g(XT )] − E[g(T )], with a computable leading order term.

Option prices in exponential Lévy models solve certain partia lintegro-differential equations (PIDEs). A finite difference scheme suitable for solving such PIDEs is studied in Paper III. The main resultsare estimates of the time and space discretization errors, with leading order terms in computable form. If the underlying Lévy process has infinite jump activity, the jumps smaller than some ε > 0 are replacedby diffusion. The size of this diffusion approximation is estimated, as well as its effect on the space and time discretization errors. Combined, the results of the paper are enough to determine how to jointly choose the grid size and the parameter ε.

In Paper IV it is demonstrated how optimal control can be used to calibrate a jump-diffusion process to quoted option prices. The calibration problem is formulated as an optimal control problem with the model parameter as a control variable. The corresponding regularized Hamiltonian system is solved with a symplectic Euler method.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:36:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 38. Kiessling, Jonas PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_37_j_idt584",{id:"formSmash:items:resultList:37:j_idt584",widgetVar:"widget_formSmash_items_resultList_37_j_idt584",onLabel:"Kiessling, Jonas ",offLabel:"Kiessling, Jonas ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:37:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:37:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Celluarity in commutative algebra2008Licentiate thesis, comprehensive summary (Other scientific)39. Lindgren, Erik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_38_j_idt584",{id:"formSmash:items:resultList:38:j_idt584",widgetVar:"widget_formSmash_items_resultList_38_j_idt584",onLabel:"Lindgren, Erik ",offLabel:"Lindgren, Erik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:38:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:38:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Regularity properties of two-phase free boundary problems2009Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_38_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:38:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_38_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of four papers which are all related to the regularity properties of free boundary problems. The problems considered have in common that they have some sort of two-phase behaviour.In papers I-III we study the interior regularity of different two-phase free boundary problems. Paper I is mainly concerned with the regularity properties of the free boundary, while in papers II and III we devote our study to the regularity of the function, but as a by-product we obtain some partial regularity of the free boundary.The problem considered in paper IV has a somewhat different nature. Here we are interested in certain approximations of the obstacle problem. Two major differences are that we study regularity properties close to the fixed boundary and that the problem converges to a one-phase free boundary problem.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:38:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 40. Lundholm, Douglas PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_39_j_idt584",{id:"formSmash:items:resultList:39:j_idt584",widgetVar:"widget_formSmash_items_resultList_39_j_idt584",onLabel:"Lundholm, Douglas ",offLabel:"Lundholm, Douglas ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:39:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:39:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Zero-energy states in supersymmetric matrix models2010Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_39_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:39:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_39_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The work of this Ph.D. thesis in mathematics concerns the problem of determining existence, uniqueness, and structure of zero-energy states in supersymmetric matrix models, which arise from a quantum mechanical description of the physics of relativistic membranes, reduced Yang-Mills gauge theory, and of nonperturbative features of string theory, respectively M-theory. Several new approaches to this problem are introduced and considered in the course of seven scientific papers, including: construction by recursive methods (Papers A and D), deformations and alternative models (Papers B and C), averaging with respect to symmetries (Paper E), and weighted supersymmetry and index theory (Papers F and G). The mathematical tools used and developed for these approaches include Clifford algebras and associated representation theory, structure of supersymmetric quantum mechanics, as well as spectral theory of (matrix-) Schrödinger operators.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:39:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 41. Lundkvist, Christian PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_40_j_idt584",{id:"formSmash:items:resultList:40:j_idt584",widgetVar:"widget_formSmash_items_resultList_40_j_idt584",onLabel:"Lundkvist, Christian ",offLabel:"Lundkvist, Christian ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:40:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:40:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Moduli spaces of zero-dimensional geometric objects2009Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_40_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:40:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_40_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The topic of this thesis is the study of moduli spaces of zero-dimensional geometricobjects. The thesis consists of three articles each focusing on a particular moduli space.The first article concerns the

*Hilbert scheme*Hilb(X). This moduli space parametrizesclosed subschemes of a fixed ambient scheme X. It has been known implicitly for sometime that the Hilbert scheme does not behave well when the scheme X is not separated.The article shows that the separation hypothesis is necessary in the sense thatthe component Hilb1(X) of Hilb(X) parametrizing subschemes of dimension zero andlength 1 does not exist if X is not separated.Article number two deals with the*Chow scheme*Chow 0,n(X) parametrizing zerodimensionaleffective cycles of length*n*on the given scheme X. There is a relatedconstruction, the*Symmetric product*Symn(X), defined as the quotient of the n-foldproduct X ×. . .×X of X by the natural action of the symmetric group Sn permutingthe factors. There is a canonical map Symn(X) " Chow0,n(X) that, set-theoretically,maps a tuple (x1, . . . , xn) to the cycle!nk=1 xk. In many cases this canonical map is anisomorphism. We explore in this paper some examples where it is not an isomorphism.This will also lead to some results concerning the question whether the symmetricproduct commutes with base change.The third article is related to the*Fulton-MacPherson compactification*of the configurationspace of points. Here we begin by considering the configuration space F(X, n)parametrizing n-tuples of distinct ordered points on a smooth scheme X. The schemeF(X, n) has a compactification X[n] which is obtained from the product Xn by a sequenceof blowups. Thus X[n] is itself not defined as a moduli space, but the pointson the boundary of X[n] may be interpreted as geometric objects called stable degenerations.It is then natural to ask if X[n] can be defined as a moduli space of*stabledegenerations*instead of as a blowup. In the third article we begin work towards ananswer to this question in the case where X = P2. We define a very general modulistack Xpv2 parametrizing projective schemes whose structure sheaf has vanishing secondcohomology. We then use Artin’s criteria to show that this stack is algebraic. Onemay define a stack SDX,n of stable degenerations of X and the goal is then to provealgebraicity of the stack SDX,n by using Xpv2.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:40:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 42. Lundman, Anders PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_41_j_idt584",{id:"formSmash:items:resultList:41:j_idt584",widgetVar:"widget_formSmash_items_resultList_41_j_idt584",onLabel:"Lundman, Anders ",offLabel:"Lundman, Anders ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:41:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:41:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Classifying Lattice Polytopes2013Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_41_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:41:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_41_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of two papers in toric geometry. In Paper A we provide a complete classification up to isomorphism of all smooth convex lattice 3- polytopes with at most 16 lattice points. There exist in total 103 different polytopes meeting these criteria. Of these, 99 are strict Cayley polytopes and the remaining four are obtained as inverse stellar subdivisions of such polytopes. We derive a classification, up to isomorphism, of all complete embeddings of smooth toric threefolds in PN where N ≤ 15. Again we have in total 103 such embeddings. Of these, 99 are projective bundles embedded in PN and the remaining four are blow-ups of such toric threefolds. In Paper B we show that a complete smooth toric embedding X ↪ PN having maximal k-th osculating dimension, but not maximal (k + 1)-th osculating dimension, at every point is associated to a Cayley polytope of order k. This result generalises an earlier characterisation by David Perkinson. In addition we prove that the above assumptions are equivalent to requiring that the Seshadri constant is exactly k at every point of X, generalising a result of Atsushi Ito.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:41:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 43. Nordenstam, Eric PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_42_j_idt584",{id:"formSmash:items:resultList:42:j_idt584",widgetVar:"widget_formSmash_items_resultList_42_j_idt584",onLabel:"Nordenstam, Eric ",offLabel:"Nordenstam, Eric ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:42:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:42:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Interlaced particles in tilings and random matrices2009Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_42_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:42:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_42_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of three articles all relatedin some way to eigenvalues of random matrices and theirprincipal minors and also to tilings of various planar regions with dominoes or rhombuses.Consider an $N\times N$ matrix $H_N=[h_{ij}]_{i,j=1}^N$ from the Gaussian unitary ensemble (GUE). Denote its principal minors (submatrices in the upper left corner) by $H_n=[h_{ij}]_{i,j=1}^n$ for $n=1$, \dots, $N$. We show in paper A that all the $N(N+1)/2$ eigenvaluesof $H_1$, \dots, $H_N$ form a determinantal process on $N$ copies of the real line $\mathbb{R}$. We also show that this distribution arises as a scaling limit in tilings of an Aztec diamond with dominoes.We discuss a corresponding result for rhombus tilings of a hexagonwhich was later proved by Okounkov and Reshtikhin. We give a new proof of that statement in the introductionto this thesis.In paper B we perform a similar analysis for the Anti-symmetric Gaussian unitary ensemble (A-GUE). We show that the positive eigenvalues of an $N\times N$ A-GUE matrix andits principal minors form a determinantal processon $N$ copies of the positive real line $\mathbb{R}^+$.We also show that this distribution of all these eigenvalues appears as a scaling limit of tilings of half a hexagon with rhombuses. In paper C we study the shuffling algorithm for tilings of an Aztec diamond. This leads to the study of an interacting set of interlacedparticles that evolve in time. We conjecture that the diffusion limit of thisprocess is a process studied by Warrenand establish some results in this direction.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:42:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 44. Nordström, Fredrik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_43_j_idt584",{id:"formSmash:items:resultList:43:j_idt584",widgetVar:"widget_formSmash_items_resultList_43_j_idt584",onLabel:"Nordström, Fredrik ",offLabel:"Nordström, Fredrik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:43:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:43:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Cofinality Properties of Categories of Chain Complexes2008Doctoral thesis, monograph (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_43_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:43:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_43_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis treats a family of categories, the chain categories of an A-module M, and functors indexed by them. Among the chain categories are two classical constructions; the category of finitely generated projective Amodules, and the category of finitely generated free A-modules, here denoted by P0(0) and Sing(0) respectively. The focus of this thesis is on how to construct homotopy colimits of functors indexed by chain categories, and taking values in non-negative chain complexes of A-modules.

One consequence of Lazard’s theorem is that if M is flat, then all functors over Sing(M) are flat; that is, the homotopy colimits of these functors are weakly equivalent to the ordinairy colimits. A motivating question has been to understand when functors over Sing(M) are flat for non-flat M. In particular, when the forgetful functor UM is flat. One of the results obtain is that if A is Noetherian, then UM is flat over many chain categories, and this property is independent of M. In contrast, if A is commutative, then the pointwise tensor product UM UM is defined, and this is not a flat functor in general, even if UM is flat.

The key notion used to study these questions is that of a cofinal functor. Among the main results are the cofinality of various inclusion functors among the chain categories themselves, and the existence, construction and classification of cofinal simplicial objects in P0(M) and Sing(M). Also, a method to construct flat resolutions of functors indexed by P0 and taking values in A-modules is developed (but applicability of this construction depends on severe restrictions on M). These methods are used to compute the homotopy colimits of several functors defined over various chain categories.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:43:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 45. Norén, Patrik PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_44_j_idt584",{id:"formSmash:items:resultList:44:j_idt584",widgetVar:"widget_formSmash_items_resultList_44_j_idt584",onLabel:"Norén, Patrik ",offLabel:"Norén, Patrik ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:44:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:44:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Algebraic and geometric combinatorics of graphs2011Licentiate thesis, comprehensive summary (Other academic)46. Olofsson, Rikard PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_45_j_idt584",{id:"formSmash:items:resultList:45:j_idt584",widgetVar:"widget_formSmash_items_resultList_45_j_idt584",onLabel:"Olofsson, Rikard ",offLabel:"Olofsson, Rikard ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:45:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:45:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Problems in Number Theory related to Mathematical Physics2008Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_45_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:45:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_45_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(s)=1/2.This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin transform of Hermite functions have Re(s)=1/2.In Paper II and Paper III we study eigenfunctions of desymmetrized quantized cat maps.If N denotes the inverse of Planck's constant, we show that the behavior of the eigenfunctions is very dependent on the arithmetic properties of N. If N is a square, then there are normalized eigenfunctions with supremum norm equal to , but if N is a prime, the supremum norm of all eigenfunctions is uniformly bounded. We prove the sharp estimate for all normalized eigenfunctions and all $N$ outside of a small exceptional set. For normalized eigenfunctions of the cat map (not necessarily desymmetrized), we also prove an entropy estimate and show that our functions satisfy equality in this estimate.We call a special class of eigenfunctions newforms and for most of these we are able to calculate their supremum norm explicitly.For a given , with k>1, the newforms can be divided in two parts (leaving out a small number of them in some cases), the first half all have supremum norm about and the supremum norm of the newforms in the second half have at most three different values, all of the order . The only dependence of A is that the normalization factor is different if A has eigenvectors modulo p or not. We also calculate the joint value distribution of the absolute value of n different newforms.In Paper IV we prove a generalization of Mertens' theorem to Beurling primes, namely that

\lim_{n \to \infty}\frac{1}{\ln n}\prod_{p \leq n} \left(1-p^{-1}\right)^{-1}=Ae^{\gamma}where γ is Euler's constant and Ax is the asymptotic number of generalized integers less than x. Thus the limit exists. We also show that this limit coincides with ; for ordinary primes this claim is called Meissel's theorem. Finally we will discuss a problem posed by Beurling, namely how small |N(x)-[x] | can be made for a Beurling prime number system Q≠P, where P is the rational primes. We prove that for each c>0 there exists a Q such that |N(x)-[x] |

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:45:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 47. Parra, Rodrigo PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt584",{id:"formSmash:items:resultList:46:j_idt584",widgetVar:"widget_formSmash_items_resultList_46_j_idt584",onLabel:"Parra, Rodrigo ",offLabel:"Parra, Rodrigo ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:46:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:46:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Equidistribution towards the Green current in complex dynamics2011Doctoral thesis, monograph (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:46:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_46_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Given a holomorphic self-map of complex projective space of de-gree larger than one, we prove that there exists a finite collection oftotally invariant algebraic sets with the following property: given anypositive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:46:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 48. Petersen, Dan PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt584",{id:"formSmash:items:resultList:47:j_idt584",widgetVar:"widget_formSmash_items_resultList_47_j_idt584",onLabel:"Petersen, Dan ",offLabel:"Petersen, Dan ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:47:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:47:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Admissible covers, modular operads and modular forms2011Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:47:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_47_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis contains three articles related to operads and moduli spaces of admissible covers of curves. In Paper A we isolate cohomology classes coming from modular forms inside a certain space of admissible covers, thereby showing that this moduli space can be used as a substitute for a Kuga–Sato variety. Paper B contains a combinatorial proof of Ezra Getzler’s semiclassical approximation for modular operads, and a proof of a formula needed in Paper A. In Paper C we explain in what sense spaces of admissible covers form a modular operad, by introducing the notion of an operad colored by a groupoid.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:47:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 49. Petersen, Dan PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_48_j_idt584",{id:"formSmash:items:resultList:48:j_idt584",widgetVar:"widget_formSmash_items_resultList_48_j_idt584",onLabel:"Petersen, Dan ",offLabel:"Petersen, Dan ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:48:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:48:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Topology of moduli spaces and operads2013Doctoral thesis, comprehensive summary (Other academic)50. Rydh, David PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt584",{id:"formSmash:items:resultList:49:j_idt584",widgetVar:"widget_formSmash_items_resultList_49_j_idt584",onLabel:"Rydh, David ",offLabel:"Rydh, David ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:49:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:49:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Families of cycles and the Chow scheme2008Doctoral thesis, comprehensive summary (Other scientific)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt622_0_j_idt623",{id:"formSmash:items:resultList:49:j_idt622:0:j_idt623",widgetVar:"widget_formSmash_items_resultList_49_j_idt622_0_j_idt623",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The objects studied in this thesis are families of cycles on schemes. A space — the Chow variety — parameterizing effective equidimensional cycles was constructed by Chow and van der Waerden in the first half of the twentieth century. Even though cycles are simple objects, the Chow variety is a rather intractable object. In particular, a good functorial description of this space is missing. Consequently, descriptions of the corresponding families and the infinitesimal structure are incomplete. Moreover, the Chow variety is not intrinsic but has the unpleasant property that it depends on a given projective embedding. A main objective of this thesis is to construct a closely related space which has a good functorial description. This is partly accomplished in the last paper.

The first three papers are concerned with families of zero-cycles. In the first paper, a functor parameterizing zero-cycles is defined and it is shown that this functor is represented by a scheme — the scheme of divided powers. This scheme is closely related to the symmetric product. In fact, the scheme of divided powers and the symmetric product coincide in many situations.

In the second paper, several aspects of the scheme of divided powers are discussed. In particular, a universal family is constructed. A different description of the families as multi-morphisms is also given. Finally, the set of k-points of the scheme of divided powers is described. Somewhat surprisingly, cycles with certain rational coefficients are included in this description in positive characteristic.

The third paper explains the relation between the Hilbert scheme, the Chow scheme, the symmetric product and the scheme of divided powers. It is shown that the last three schemes coincide as topological spaces and that all four schemes are isomorphic outside the degeneracy locus.

The last paper gives a definition of families of cycles of arbitrary dimension and a corresponding Chow functor. In characteristic zero, this functor agrees with the functors of Barlet, Guerra, Kollár and Suslin-Voevodsky when these are defined. There is also a monomorphism from Angéniol's functor to the Chow functor which is an isomorphism in many instances. It is also confirmed that the morphism from the Hilbert functor to the Chow functor is an isomorphism over the locus parameterizing normal subschemes and a local immersion over the locus parameterizing reduced subschemes — at least in characteristic zero.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:49:j_idt622:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500});

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- vancouver
- Other style

Languagede-DE en-GB en-US fi-FI nn-NO nn-NB sv-SE Other locale $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_lower_j_idt931",{id:"formSmash:lower:j_idt931",widgetVar:"widget_formSmash_lower_j_idt931",behaviors:{change:function(ext) {PrimeFaces.ab({s:"formSmash:lower:j_idt931",e:"change",f:"formSmash",p:"formSmash:lower:j_idt931",u:"formSmash:lower:otherLanguage"},ext);}}});});

- de-DE
- en-GB
- en-US
- fi-FI
- nn-NO
- nn-NB
- sv-SE
- Other locale

Output formathtml text asciidoc rtf $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_lower_j_idt941",{id:"formSmash:lower:j_idt941",widgetVar:"widget_formSmash_lower_j_idt941"});});

- html
- text
- asciidoc
- rtf