3 papers
math.CO2026
Matroid correspondence
Colin Crowley, Changxin Ding, Haoxi Hu +7
Motivated by algebraic correspondences and linear operators associated with volume and Lorentzian polynomials, we introduce matroid correspondences and their polymatroid analogues.…
math.CO2024
Toric varieties modulo reflections
Colin Crowley, Tao Gong, Connor Simpson
Let be a finite group generated by reflections of a lattice . If a lattice polytope is preserved by , then we show that the quo…
math.AG2024
Combinatorial flats and Schubert varieties of subspace arrangements
Colin Crowley, Connor Simpson, Botong Wang
The lattice of flats of a matroid is combinatorially well-behaved and, when is realizable, admits a geometric model in the form of a "Schubert variety of hyp…