Jeg forsker i operatoralgebra med særlig interesse i klassifikation af C*-algebraer knyttet til diskrete eller lav-dimensionelle strukturer. Jeg virker for udbredelse af eksperimentelle (computer-understøttede) metoder i ren matematik, og er passioneret omkring undervisning og udbredelsen af matematik til ikke-professionelle.

Operatoralgebra, K-teori, symbolsk dynamik, diskret matematik.

Jeg er medlem af FNU-netværket "Automorphisms and Invariants for Operator Algebras".

Min undervisning er overvejende faldet indenfor et af områderne

• Indledende matematisk analyse
• Lineær algebra
• Funktionalanalyse
• Dynamiske systemer
• Diskret matematik (især i datalogisk kontekst)
• Eksperimentel matematik

og jeg har vejledt talrige projekter på alle niveauer indenfor samme felt, blandt andet 28 specialeafhandlinger.

Education:

• M.S., Mathematics, computer science, University of Copenhagen, 93
• PhD, Mathematics, University of Copenhagen, 95.

Positions:

• Assistant professor 96-99, University of Copenhagen.
• Associate professor 99-08, University of Copenhagen.
• Professor 08-, University of Copenhagen.

International experience:

• University of California at Santa Barbara 91-92 [10 months]
• Universidade de São Paulo 94 [2 months]
• The Fields Institute for Research in Mathematical Sciences 94-95 [11 months]
• Purdue University 98 [5 months]
• University of New Mexico 98 [5 months]
• Mathematical Sciences Research Institute 00 [3 months]
• Institut Mittag-Leffler 03-04 [2 months]
• The Fields Institute for Research in Mathematical Sciences 07 [2 months]
• Lund University 12-13 [2 months]
• Institut Mittag-Leffler 16 [4 months]

PhD students:

• T.M. Carlsen, PhD, 04 [Current position: Professor]
• G. Restorff, PhD, 08 [Current position: Professor]
• R. Johansen PhD, 11 [Current position: Senior Data Science Developer]
• S.E. Arklint, PhD, 12 [Current position: Academic officer]
• A.P.W. Sørensen, PhD, 12 [Current position: Acedemic officer]
• R. Bentmann, PhD, 13 [Current position: Consultant]
• J. Gabe, PhD, 15 [Current position: Assistant professor]
• K. Brix, PhD, 19 [Current position: Postdoc]
• Current: A. Frei 19-22.

Postdoctoral mentees:

• A. Toms, Canadian National Research Council postdoc fellow, 03-04.
• K. Medynets, INTAS fellow, 07.
• T. Katsura, Japan Society for the Promotion of Science senior fellow, 10-11.
• J. Oinert, Vetenskapsradet fellow, 10-12.
• S. Yamashita, Japan Society for the Promotion of Science junior fellow,10-11.
• A. Muñoz, NSF/DNRF GROW fellow, 15-16.
• A. Dor-On, ERC Marie Sklodowska-Curie individual fellow, 19-21.

Other scientific leadership:

• President, Danish Mathematical Society 06-08.
• Associate chair for education, University of Copenhagen, 07-11
• NordForsk Researcher Network: Operator algebras and dynamics, Principal Investigator, 09-12.
• Principal investigator: Experimental mathematics in number theory, operator algebras,
• and topology. Villum Fonden 12-16
• Main organizer: Classication of operator algebras: complexity, rigidity, and dynamics. Mittag-Leffler Institute program 16.

Editorial:

• Mathematica Scandinavica (National editor) 13-19
• Journal of Mathematical Analysis and Applications (Associate editor) 17-20
• Pure and applied mathematics, Elsevier (Editorial board) 15-17
• (with T.M. Carlsen, G. Restor and S. Silvestrov) Operator Algebra and Dynamics, Springer Proceedings in Mathematics & Statistics 58 (2013)
• (with D. Olesen) Gert K. Pedersen, C-algebras and their Automorphism Groups, second edition. Elsevier 2018.