41 citations · 122 across the 28 of their papers we have counts for
36 papers
Frobenius identities for the volume map on Cohen--Macaulay rings
Karim Alexander Adiprasito, Eric Katz, Ryoshun Oba +2
We study the volume map on Artinian quotients of Cohen-Macaulay algebras in characteristic , and the interaction between it and the action of Frobenius on resolutions. This allo…
Anisotropy and the -theorem for simplicial spheres
Eric Katz
We give an exposition of the proof of the lower bound part of the -theorem for simplicial spheres by Adiprasito, Papadakis, and Petrotou.
Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids
Eric Katz
The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition o…
The Unipotent Tropical Fundamental Group
Kyle Binder, Eric Katz
We define the unipotent tropical fundamental group of a polyhedral complex in as the Tannakian fundamental group of the category of unipotent tropical vector bundles…
Matroidal Mixed Eulerian Numbers
Eric Katz, Max Kutler
We make a systematic study of matroidal mixed Eulerian numbers which are certain intersection numbers in the matroid Chow ring generalizing the mixed Eulerian numbers introduced by…
p-adic iterated integration on semistable curves
Eric Katz, Daniel Litt
We reformulate the theory of p-adic iterated integrals on semistable curves using the unipotent log rigid fundamental group. This fundamental group carries Frobenius and monodromy…