activity
20042026
most citedThe tropicalization of the moduli space of curves

185 citations · 805 across the 62 of their papers we have counts for

collaborators

65 papers

math.AT2026

The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide

Urshita Pal, Sam Payne

Two recent constructions independently give bigraded commutative Hopf algebra structures on the homology of with rational Steinberg coefficients. One, by…

math.AG2023★ 3 cited

Extensions of tautological rings and motivic structures in the cohomology of

Samir Canning, Hannah Larson, Sam Payne

We study collections of subrings of that are closed under the tautological operations that map cohomology classes on moduli spaces of smaller di…

math.AG2023★ 1 cited

Adic tropicalizations and cofinality of Gubler models

Tyler Foster, Sam Payne

We introduce adic tropicalizations for subschemes of toric varieties as limits of Gubler models associated to polyhedral covers of the ordinary tropicalization. Our main result sho…

math.AG2023

Avoidance loci and tropicalizations of real bitangents to plane quartics

Hannah Markwig, Sam Payne, Kris Shaw

We compare two partitions of real bitangents to smooth plane quartics into sets of 4: one coming from the closures of connected components of the avoidance locus and another coming…

math.AG2023★ 2 cited

Weight 11 compactly supported cohomology of moduli spaces of curves

Sam Payne, Thomas Willwacher

We study the weight 11 part of the compactly supported cohomology of the moduli space of curves , using graph complex techniques, with particular attention to the case $n…

math.AG2022★ 6 cited

-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…