23 citations · 64 across the 21 of their papers we have counts for
24 papers
Proto-exact categories of modules over semirings and hyperrings
Jaiung Jun, Matt Szczesny, Jeffrey Tolliver
\emph{Proto-exact categories}, introduced by Dyckerhoff and Kapranov, are a generalization of Quillen exact categories which provide a framework for defining algebraic K-theory and…
Hall Lie algebras of toric monoid schemes
Jaiung Jun, Matt Szczesny
We associate to a projective -dimensional toric variety a pair of co-commutative (but generally non-commutative) Hopf algebras . These arise as Hall algebr…
Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras
Matt Szczesny, Jackson Walters, Brian Williams
Let be a complex manifold, a locally trivial holomorphic fibration with fiber , and a Lie algebra with an invariant symmetric form. We as…
Split Grothendieck rings of rooted trees and skew shapes via monoid representations
David Beers, Matt Szczesny
We study commutative ring structures on the integral span of rooted trees and -dimensional skew shapes. The multiplication in these rings arises from the smash product operation…
Proto-exact categories of matroids, Hall algebras, and K-theory
Christopher Eppolito, Jaiung Jun, Matt Szczesny
This paper examines the category of pointed matroids and strong maps from the point of view of Hall algebras. We show that has the…
Hopf algebras for matroids over hyperfields
Christopher Eppolito, Jaiung Jun, Matt Szczesny
Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the not…