We use τ-tilting theory to give a description of the wall and chamber structure of a finite-
dimensional algebra. We also study D-generic paths in the wall and chamber structure of an …

We give an overview of recent developments in silting theory. After an introduction on torsion
pairs in triangulated categories, we discuss and compare different notions of silting and …

We study the stability functions on abelian categories introduced by Rudakov and their
relation with torsion classes and maximal green sequences. Moreover, we introduce the …

For an arbitrary finite dimensional algebra $\Lambda $, we prove that any wide subcategory
of $\mathsf {mod}\Lambda $ satisfying a certain finiteness condition is $\theta $-semistable …

Maximal green sequences appear in the study of Fomin–Zelevinsky's cluster algebras. They
are useful for computing refined Donaldson–-Thomas invariants, constructing twist …

We construct maximal green sequences of maximal length for any affine quiver of type A. We
determine which sets of modules (equivalently c-vectors) can occur in such sequences and …

For modules over an artin algebra, a linear stability condition is given by a “central charge”
and a nonlinear stability condition is given by the wall-crossing sequence of a “green path.” …

We give a brief introduction to (upper) cluster algebras and their quantization using
examples. Then we present several important families of bases for these algebras using …

In this thesis we study torsion theory, subobjects and filtration properties in quasi-abelian,
exact and right triangulated categories. All such categegories fit into the larger framework of …

We show that, for any cluster-tilted algebra of finite representation type over an algebraically
closed field, the following three definitions of a maximal green sequence are equivalent:(1) …