6 citations · 24 across the 21 of their papers we have counts for
27 papers
Rigid Matroid Categories
Kevin Purbhoo
We consider three forms of composition of matroids, each of which extends the category of bimatroids to a rigid monoidal category. Many well-known constructions are functorial or d…
Universal Plücker coordinates for the Wronski map and positivity in real Schubert calculus
Steven N. Karp, Kevin Purbhoo
Given a -dimensional vector space of polynomials, its Wronskian is the polynomial whose zeros are the points of $\m…
Folding rotationally symmetrical tableaux via webs
Kevin Purbhoo, Shelley Wu
Rectangular standard Young tableaux with 2 or 3 rows are in bijection with -webs and -webs respectively. When is a web with a reflec…
An identity in the Bethe subalgebra of
Kevin Purbhoo
As part of the proof of the Bethe ansatz conjecture for the Gaudin model for , Mukhin, Tarasov, and Varchenko described a correspondence between inverse Wronskians…
Class groups of open Richardson varieties in the Grassmannian are trivial
Jake Levinson, Kevin Purbhoo
We prove that the divisor class group of any open Richardson variety in the Grassmannian is trivial. Our proof uses Nagata's criterion, localizing the coordinate ring at a suitable…
A topological proof of the Shapiro-Shapiro conjecture
Jake Levinson, Kevin Purbhoo
We prove a generalization of the Shapiro-Shapiro conjecture on Wronskians of polynomials, allowing the Wronskian to have complex conjugate roots. We decompose the real Schubert cel…