Aaron Landesman

collaborators

8 papers

math.NT2026

Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields

Jordan S. Ellenberg, Aaron Landesman

We prove a version of the Bhargava-Kane-Lenstra-Poonen-Rains heuristics for Selmer groups of quadratic twist families of abelian varieties over global function fields. As a consequ…

math.AG2025

Big monodromy for higher Prym representations

Aaron Landesman, Daniel Litt, Will Sawin

Let $I^£_{g^{'}} \to I^£_{g}$ be a cover of an orientable surface of genus g by an orientable surface of genus g', branched at n points, with Galois group H. Such a cover induces a virtual…

math.AG2025

Low degree Hurwitz stacks in the Grothendieck ring

Aaron Landesman, Ravi Vakil, Melanie Matchett Wood

For $2 \leq d \leq 5$ , we show that the class of the Hurwitz space of smooth degree $d$ , genus $g$ covers of $P^{1}$ stabilizes in the Grothendieck ring of stacks as $g \to \…

math.AG2025

The locus of plane curves in the moduli stack of curves

Aaron Landesman

Let $d \geq 4$ and let $U_{d}$ denote the locus of smooth curves in the Hilbert scheme of degree $d$ plane curves. If the members of $U_{d}$ have genus $g$ , let $M_{g}$ denote…

math.GT2025

Canonical representations of surface groups

Aaron Landesman, Daniel Litt

Let $I^£_{g, n}$ be an orientable surface of genus $g$ with $n$ punctures. We study actions of the mapping class group of $I^£_{g, n}$ via Hodge-theoretic and arithmetic techniques. We…

math.AG2025

Prill's problem

Aaron Landesman, Daniel Litt

We solve Prill's problem, originally posed by David Prill in the late 1970s and popularized in ACGH's "Geometry of Algebraic Curves." That is, for any curve $Y$ of genus $2$ , we pr…