106 citations · 247 across the 24 of their papers we have counts for
22 papers · 1 filter
On the additive image of 0th persistent homology
Ulrich Bauer, Magnus Bakke Botnan, Steffen Oppermann +1
For a finite category and a finite field, we study the additive image of the functor $\operatorname{H}_0(-,F) \colon \operatorname{rep}(X, \mathbf{Top}) \to \operatorname{r…
Tropical coefficient dynamics for higher-dimensional cluster categories
Steffen Oppermann, Hugh Thomas
We show that the index in higher-dimensional cluster categories mutates according to a higher-dimensional version of tropical coefficient dynamics.
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann +1
We give a full classification of representation types of the subcategories of representations of an rectangular grid with monomorphisms (dually, epimorphisms) in one o…
Change of rings and singularity categories
Steffen Oppermann, Chrysostomos Psaroudakis, Torkil Stai
We investigate the behavior of singularity categories and stable categories of Gorenstein projective modules along a morphism of rings. The natural context to approach the problem…
A recollement approach to Geigle-Lenzing weighted projective varieties
Boris Lerner, Steffen Oppermann
We introduce a new method for expanding an abelian category and study it using recollements. In particular, we give a criterion for the existence of cotilting objects. We show, usi…
Quivers for silting mutation
Steffen Oppermann
We give a combinatorial mutation rule for Aihara's and Iyama's silting mutation. As an application, we reprove Keller-Yang's mutation rule for Ginzburg algebras, and obtain an anal…