96 citations · 342 across the 37 of their papers we have counts for
6 papers · 1 filter
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…
Singular Hodge theory for combinatorial geometries
Tom Braden, June Huh, Jacob P. Matherne +2
We introduce the intersection cohomology module of a matroid and prove that it satisfies Poincaré duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. As applicati…
Equivariant incidence algebras and equivariant Kazhdan-Lusztig-Stanley theory
Nicholas Proudfoot
We establish a formalism for working with incidence algebras of posets with symmetries, and we develop equivariant Kazhdan-Lusztig-Stanley theory within this formalism. This gives…
The categorical graph minor theorem
Dane Miyata, Nicholas Proudfoot, Eric Ramos
We define the graph minor category and prove that the category of contravariant representations of the graph minor category over a Noetherian ring is locally Noetherian. This can b…
A semi-small decomposition of the Chow ring of a matroid
Tom Braden, June Huh, Jacob P. Matherne +2
We give a semi-small orthogonal decomposition of the Chow ring of a matroid M. The decomposition is used to give simple proofs of Poincaré duality, the hard Lefschetz theorem, and…