10 citations · 12 across the 3 of their papers we have counts for
4 papers
Hyperplane Arrangements and Compactifications of Vector Groups
Colin Crowley
Schubert varieties of hyperplane arrangements, also known as matroid Schubert varieties, play an essential role in the proof of the Dowling-Wilson conjecture and in Kazhdan-Lusztig…
The Bergman fan of a polymatroid
Colin Crowley, June Huh, Matt Larson +2
We introduce the Bergman fan of a polymatroid and prove that the Chow ring of the Bergman fan is isomorphic to the Chow ring of the polymatroid. Using the Bergman fan, we establish…
Multiregeneration for polynomial system solving
Colin Crowley, Jose Israel Rodriguez, Jacob Weiker +1
We demonstrate our implementation of a continuation method as described in \cite{HR2015} for solving polynomials systems. Given a sequence of (multi)homogeneous polynomials, the so…
A module-theoretic approach to matroids
Colin Crowley, Noah Giansiracusa, Joshua Mundinger
Speyer recognized that matroids encode the same data as a special class of tropical linear spaces and Shaw interpreted tropically certain basic matroid constructions; additionally,…