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papers

Publications (36)

math.AG2024

Extensions of tautological rings and motivic structures in the cohomology of $M_{g, n}$

Samir Canning, Hannah Larson, Sam Payne

We study collections of subrings of $H^{*} (M_{g, n})$ that are closed under the tautological operations that map cohomology classes on moduli spaces of smaller di…

math.AG2026

The Gorenstein property and Pixton's conjecture for compact type moduli

Samir Canning, Hannah Larson, Johannes Schmitt

We show that the tautological ring of $M_{g, n}^{ct}$ is not Gorenstein for $g \geq 2$ and $2 g + n \geq 12$ . We prove new cases of Pixton's conjecture that the $3$ -sp…

math.NT2015

Generalized Andrews-Gordon Identities

Hannah Larson

In a recent paper, Griffin, Ono and Warnaar present a framework for Rogers-Ramanujan type identities using Hall-Littlewood polynomials to arrive at expressions of the form \[\sum_{…

math.AG2023

The Chow rings of the moduli spaces of curves of genus 7, 8, and 9

Samir Canning, Hannah Larson

The rational Chow ring of the moduli space $M_{g}$ of curves of genus $g$ is known for $g \leq 6$ . Here, we determine the rational Chow rings of $\mathcal{M}_7, \mathcal{M}…

math.AG2019

An enriched count of the bitangents to a smooth plane quartic curve

Hannah Larson, Isabel Vogt

Recent work of Kass--Wickelgren gives an enriched count of the $27$ lines on a smooth cubic surface over arbitrary fields. Their approach using $A^{1}$ -enumerative geometry…

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…