Hannah Larson

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20242026

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math.AG2026

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.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.AG2025

Chow Rings of Hurwitz Spaces with Marked Ramification

Emily Clader, Zhengning Hu, Hannah Larson +2

The Hurwitz space $H_{k, g}$ is a compactification of the space of smooth genus- $g$ curves with a simply-branched degree- $k$ map to $P^{1}$ . In this pape…

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

The Chow ring of the universal Picard stack over the hyperelliptic locus

Hannah Larson

Let $J_{g}^{d} \to M_{g}$ be the universal Picard stack parametrizing degree $d$ line bundles on genus $g$ curves, and let $J_{2, g}^{d}$ be its restriction to…

Moduli spaces of curves with polynomial point counts

FA-modules of holomorphic forms on Mg,n​

Chow Rings of Hurwitz Spaces with Marked Ramification

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

The Chow ring of the universal Picard stack over the hyperelliptic locus

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