Extriangulated categories axiomatise extension-closed subcategories of triangulated
categories and generalise both exact categories and triangulated categories. This survey …

Following the approach of Haiden–Katzarkov–Kontsevich (Publ Math Inst Hautes Études Sci
126: 247–318, 2017), to any homologically smooth Z Z-graded gentle algebra A we …

In this article, gentle algebras are realised as tiling algebras, which are associated to partial
triangulations of unpunctured surfaces with marked points on the boundary. This notion of …

Gentle algebras are in bijection with admissible dissections of marked oriented surfaces. In
this paper, we further study the properties of admissible dissections and we show that silting …

In this article, we initiate the study of hereditary extriangulated categories. Many important
categories arising in representation theory in connection with various theories of mutation …

We show that among the derived equivalent classes of homologically smooth and proper
graded gentle algebras there is only one class whose perfect derived category does not …

Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex,
called the non-kissing complex. On the other hand, we construct a punctured, marked …

We study the affine schemes of modules over gentle algebras. We describe the smooth
points of these schemes, and we also analyze their irreducible components in detail …

We classify Brauer graph algebras up to derived equivalence by showing that the set of
derived invariants introduced by Antipov is complete. These algebras first appeared in …

This paper presents a geometric model of the Auslander–Reiten quiver of a type A quiver
together with a stability function for which all indecomposable modules are stable. We also …