Recent Papers
Joint work with Jenny August, Johanne Haugland, Sondre Kvamme, Yann Palu, and Hipolito Treffinger .
We prove that a subcategory is a d-torsion class if and only if it is closed under d-extensions and d-quotients. This generalises an important result for classical torsion classes. As an application, we prove that the d-torsion classes in M form a complete lattice. Moreover, we use the characterisation to classify the d-torsion 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) 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.
Talks & conferences
Upcoming
Recent
- March 28-31, 2023: Representation Theory: Combinatorial aspects and applications, CAS Oslo.
- March 7-10, 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 26-30, 2022: Maurice Auslander Distinguished Lectures and international conference, Cape Cod, MA.
- September 1-2, 2022: Nasjonalt Matematikermøte 2022, Tromsø.
- August 3-12, 2022: ICRA 2022, Montevideo/Buenos Aires.
- June 6-10, 2022: The Abel symposium: Triangulated categories in representation theory and beyond, Ålesund (webmaster).
- June 3-4, 2022: Øyvind 60, Trondheim.
- May 12, 2022: Kvinner i Matematikk 2022, Keynote speaker. Online.
Get In Touch
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Email
karin.jacobsen@ntnu.no
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Address
Department of Mathematics
Aarhus Universitet
Ny Munkegade 118
DK-8000 Aarhus C
Denmark
