Research

Research interests

  • Cobordism categories
  • Topological field theories
  • Abstract homotopy theory
  • Higher order category theory
  • Higher dimensional triangulated categories

Papers

  1. (with Petter Andreas Bergh) The axioms for \(n\)-angulated categories. Algebr. Geom. Topol. 13 (2013), no. 4, 2405–2428.
  2. (with Petter Andreas Bergh) The Grothendieck group of an \(n\)-angulated category. J. Pure Appl. Algebra 218 (2014), no. 2, 354–366.
  3. (with Petter Andreas Bergh and Gustavo Jasso) Higher \(n\)-angulations from local rings. J. Lond Math. Soc. (2) 93 (2016), no. 1, 123–142.
  4. (with Emilie Arentz-Hansen and Petter Andreas Bergh) The morphism axiom for \(n\)-angulated categories. Theory Appl. Categ. 31 (2016), no. 18, 477–483.
  5. 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.