96 citations · 342 across the 37 of their papers we have counts for
47 papers
-rings of wonderful varieties and matroids
Matt Larson, Shiyue Li, Sam Payne +1
We study the -ring of the wonderful variety of a hyperplane arrangement and give a combinatorial presentation that depends only on the underlying matroid. We use this combinator…
Equivariant cohomology and conditional oriented matroids
Galen Dorpalen-Barry, Nicholas Proudfoot, Jidong Wang
We give a cohomological interpretation of the Heaviside filtration on the Varchenko--Gelfand ring of a pair , where is a real hyperplane ar…
Equivariant Kazhdan-Lusztig theory of paving matroids
Trevor Karn, George Nasr, Nicholas Proudfoot +1
We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the opera…
Equivariant log concavity and representation stability
Jacob P. Matherne, Dane Miyata, Nicholas Proudfoot +1
We expand upon the notion of equivariant log concavity, and make equivariant log concavity conjectures for Orlik--Solomon algebras of matroids, Cordovil algebras of oriented matroi…
Stability phenomena for resonance arrangements
Eric Ramos, Nicholas Proudfoot
We prove that the ith graded pieces of the Orlik-Solomon algebras or Cordovil algebras of resonance arrangements form a finitely generated FS^op-module, thus obtaining information…
A type B analogue of the category of finite sets with surjections
Nicholas Proudfoot
We define a type B analogue of the category of finite sets with surjections, and we study the representation theory of this category. We show that the opposite category is quasi-Gr…