Sam Payne

activity

20162026

most citedThe tropicalization of the moduli space of curves II: Topology and applications

21 citations · 26 across the 8 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.AG2024

The motivic structures $LS_{12}$ and $S_{16}$ in the cohomology of moduli spaces of curves

Samir Canning, Hannah Larson, Sam Payne +1

We study the appearances of $LS_{12}$ and $S_{16}$ in the weight-graded compactly supported cohomology of moduli spaces of curves. As applications, we prove new n…

math.AG2024

Moduli spaces of curves with polynomial point counts

Samir Canning, Hannah Larson, Sam Payne +1

We prove that the number of curves of a fixed genus g over finite fields is a polynomial function of the size of the field if and only if g is at most 8. Furthermore, we determine…

math.AG2024★ 1 cited

Hopf algebras in the cohomology of $A_{g}$ , $GL_{n} (Z)$ , and $SL_{n} (Z)$

Francis Brown, Melody Chan, Søren Galatius +1

We describe a bigraded cocommutative Hopf algebra structure on the weight zero compactly supported rational cohomology of the moduli space of principally polarized abelian varietie…

The motivic structures LS12​ and S16​ in the cohomology of moduli spaces of curves

Moduli spaces of curves with polynomial point counts

Hopf algebras in the cohomology of Ag​, GLn​(Z), and SLn​(Z)

The motivic structures $LS_{12}$ and $S_{16}$ in the cohomology of moduli spaces of curves

Hopf algebras in the cohomology of $A_{g}$ , $GL_{n} (Z)$ , and $SL_{n} (Z)$