collaborators

9 papers

math.RT2026

Expander representations of quivers

Markus Reineke

We propose a definition of expander representations of quivers, generalizing dimension (or linear algebra) expanders, as a qualitative refinement of slope stability. We prove exist…

math.RT2026

Donaldson-Thomas invariants of symmetric quivers

Markus Reineke

We review several algebraic, combinatorial and geometric interpretations of motivic Donaldson-Thomas invariants of symmetric quivers.

math.RT2026

Motives of Nullcones of Quiver Representations

Lydia Gösmann, Markus Reineke

We derive two formulas for motives of nullcones of quiver representations, one being explicit, the other being of wall-crossing type.

math.CO2025

Cluster scattering diagrams via quiver moduli and tight gradings

Amanda Burcroff, Kyungyong Lee, Lang Mou +2

We study rank-2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver-the…

math.AG2025

Punctual noncommutative Hilbert schemes

Markus Reineke

Punctual noncommutative Hilbert schemes are projective varieties parametrizing finite codimensional left ideals in noncommutative formal power series rings. We determine their moti…

math.RT2025

Counting generating spaces of matrices

Markus Reineke

We prove that generating subspaces of matrix rings over finite fields are counted by polynomials. We use this result to define and study two-variable versions of polynomials counti…