I am a researcher on a FRIPRO mobility grant from the Norwegian Research Council. I work in the Homological algebra group at Aarhus University but I am also associated with the Algebra Group at NTNU.
My primary interests are in Category Theory and Representation Theory of algebras. These days I am particularly interested in Higher Homological Algebra, Gentle Algebras and Geometric Models.
I organize the Flash Talks in Representation Theory and the Aarhus Algebra Seminar.
Joint work with Job Daisie Rock.
We generalize the notion of an admissible ideal from path algebras to (small) k-linear categories that satisfy the Krull--Remak--Schmidt--Azumaya assumption.
Preprint.
Joint work with Johanne Haugland and Sibylle Schroll.
We use the geometric model of Opper-Plamondon-Schroll to investigate the existence of d-cluster-tilting subcategories in the module and derived categories of gentle algebras.
Published in Forum Mathematicum, doi:10.1515/forum-2021-0311.
Joint work with Karin Baur, Ilke Canakci, Maitreyee Kulkarni and Gordana Todorov.
We show that each periodic infinite frieze determines a triangulation of an annulus in essentially a unique way. Since each triangulation of an annulus determines a pair of friezes, we study such pairs and show how they determine each other.
Preprint.
Joint work with Peter Jørgensen.
We give a higher homological analogue of τ-tilting theory as defined by Adachi, Iyama and Reiten
Published in Journal of Algebra, doi: 10.1016/j.jalgebra.2019.10.046.
Joint work with Peter Jørgensen
We give neccessary and sufficient conditions for the quotient of a (d+2)-angulated category to be d-abelian.
Published in Journal of Algebra, doi: 10.1016/j.jalgebra.2018.11.019.
Joint work with Benedikte Grimeland
We classify all triangulated orbit categories of path-algebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representation-finite self-injective standard algebra.
Published in Contributions to Algebra and Geometry, doi: 10.1007/s13366-017-0350-x.
Joint work with Benedikte Grimeland
We give neccessary and sufficient conditions for the quotient of a triangulated category to be abelian.
Published in Journal of Algebra, doi: 10.1016/j.jalgebra.2015.04.042.