Recent Papers
Joint work with Jenny August, Johanne Haugland, Sondre Kvamme, Yann Palu, and Hipolito Treffinger .
We prove that a subcategory is a dtorsion class if and only if it is closed under dextensions and dquotients. This generalises an important result for classical torsion classes. As an application, we prove that the dtorsion classes in M form a complete lattice. Moreover, we use the characterisation to classify the dtorsion classes associated to higher Auslander algebras of type 𝔸, and give an algorithm to compute them explicitly.
Preprint with some rather nifty code for calculating torsion classes.
Joint work with J. Daisie Rock.
We generalize the notion of an admissible ideal from path algebras to (small) klinear categories that satisfy the KrullRemakSchmidtAzumaya assumption.
Preprint.
Joint work with Johanne Haugland and Sibylle Schroll.
We use the geometric model of OpperPlamondonSchroll to investigate the existence of dclustertilting subcategories in the module and derived categories of gentle algebras.
Published in Forum Mathematicum, doi:10.1515/forum20210311.
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 τtilting 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 dabelian.
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 pathalgebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representationfinite selfinjective standard algebra.
Published in Contributions to Algebra and Geometry, doi: 10.1007/s133660170350x.
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.
Talks & conferences
Upcoming
Recent
 March 2831, 2023: Representation Theory: Combinatorial aspects and applications, CAS Oslo.
 March 710, 2023: Algebraic Analysis, Functor Categories, and Constructive Methods, Gent.
 January 6, 2023: Flash Talks in Representation Theory 2023, Virtual conference (organizer).
 December 2022: Representation theory – Combinatorial aspects and applications, CAS Oslo.
 October 2630, 2022: Maurice Auslander Distinguished Lectures and international conference, Cape Cod, MA.
 September 12, 2022: Nasjonalt Matematikermøte 2022, Tromsø.
 August 312, 2022: ICRA 2022, Montevideo/Buenos Aires.
 June 610, 2022: The Abel symposium: Triangulated categories in representation theory and beyond, Ålesund (webmaster).
 June 34, 2022: Øyvind 60, Trondheim.
 May 12, 2022: Kvinner i Matematikk 2022, Keynote speaker. Online.
Get In Touch

Email
karin.jacobsen@ntnu.no

Address
Department of Mathematics
Aarhus Universitet
Ny Munkegade 118
DK8000 Aarhus C
Denmark