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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…
math.RT2025
Spherical representation spaces of quivers
Jennifer Müller, Markus Reineke
We consider representation spaces of quivers, together with their base change action, and classify the spherical varieties among them.
math.RT2025
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.