About
I am a mathematician specializing in algebraic topology. I am a member of the Geometry & Topology group at NTNU.
Research
Research interests
- Cobordism categories
- Topological field theories
- Abstract homotopy theory
- Higher order category theory
- Higher dimensional triangulated categories
Papers
- (with Petter Andreas Bergh) The axioms for \(n\)-angulated categories. Algebr. Geom. Topol. 13 (2013), no. 4, 2405–2428.
- (with Petter Andreas Bergh) The Grothendieck group of an \(n\)-angulated category. J. Pure Appl. Algebra 218 (2014), no. 2, 354–366.
- (with Petter Andreas Bergh and Gustavo Jasso) Higher \(n\)-angulations from local rings. J. Lond Math. Soc. (2) 93 (2016), no. 1, 123–142.
- (with Emilie Arentz-Hansen and Petter Andreas Bergh) The morphism axiom for \(n\)-angulated categories. Theory Appl. Categ. 31 (2016), no. 18, 477–483.
- On open and closed strings. Math. Scand. 119 (2016), no. 2, 223–236.
Teaching
Courses
I am teaching Introduction to topology this term.
Students
I currently mentor one PhD student, one MSc student and three BSc students.
If you want to do a project with me please consult my research page for possible thesis topics.
Service
I used to organize the Topology Seminar at NTNU.
I am a reviewer for MathSciNet, and have also been used as a referee.
Conferences
I have been a part of the organizing committee for the following conferences.
- Homological Methods in Algebra, Lund, June 10–11, 2013
- Nordic Topology Meeting 2014, NTNU, November 27–28, 2014
- Geometry and Lie Theory, NTNU, November 3–4, 2016
- Topology and Applications, NTNU, November 30 – December 2, 2016
- Abel Symposium 2018, Geiranger, June 4 –8, 2018