Sam Payne

collaborators

3 papers

math.AG2025

FA-modules of holomorphic forms on $M_{g, n}$

Samir Canning, Hannah Larson, Sam Payne +1

For fixed genus g and varying finite marking set A, the gluing and forgetful maps give the spaces of holomorphic forms on the moduli space of stable A-marked curves of genus g has…

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…

FA-modules of holomorphic forms on Mg,n​

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

Moduli spaces of curves with polynomial point counts

FA-modules of holomorphic forms on $M_{g, n}$

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