Colin Crowley

works on

algebraic combinatorics 1 functorial constructions 1 linear operators 1 Lorentzian polynomials 1 matroid theory 1 polymatroids 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.CO2026

Matroid correspondence

Colin Crowley, Changxin Ding, Haoxi Hu +7

The paper introduces matroid correspondences, a functorial framework linking matroids and polymatroids, and shows how standard matroid operations arise from it while preserving rep…

math.CO2026

Toric varieties modulo reflections

Colin Crowley, Tao Gong, Connor Simpson

Let $W$ be a finite group generated by reflections of a lattice $M$ . If a lattice polytope $P \subset M \otimes_{Z} R$ is preserved by $W$ , then we show that the quo…

math.AG2025

Combinatorial flats and Schubert varieties of subspace arrangements

Colin Crowley, Connor Simpson, Botong Wang

The lattice of flats $L_{M}$ of a matroid $M$ is combinatorially well-behaved and, when $M$ is realizable, admits a geometric model in the form of a "Schubert variety of hyp…