Aaron Landesman

activity

20162025

most citedThe infinitesimal Torelli problem

2 citations · 2 across the 4 of their papers we have counts for

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8 papers · 1 filter

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.AG2024

Big monodromy for higher Prym representations

Aaron Landesman, Daniel Litt, Will Sawin

Let $Σ_{g^{'}} \to Σ_{g}$ 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 a…

math.AG2023

Finite braid group orbits on $S L_{2}$ -character varieties

Yeuk Hay Joshua Lam, Aaron Landesman, Daniel Litt

Let X be a 2-sphere with n punctures. We classify all conjugacy classes of Zariski-dense representations $ρ : π_{1} (X) \to S L_{2} (C)$ with finite orbit under the mapping class…

math.AG2023

Obstructions to applying the Baker--Bilu method for determining integral points on curves

Aaron Landesman, Bjorn Poonen

We prove that for every smooth projective integral curve $X$ of genus at least $2$ over $C$ , there exists $x \in X (C)$ such that no connected finite étale cover of…

math.AG2020

A Lefschetz theorem for intersections with projective varieties

Aaron Landesman

One version of the classical Lefschetz hyperplane theorem states that for $U \subset P^{n}$ a smooth quasi-projective variety of dimension at least $2$ , and $H \cap U$ a gene…

math.AG2019★ 2 cited

The infinitesimal Torelli problem

Aaron Landesman

Let $g \geq 2$ and let the Torelli map denote the map sending a genus $g$ curve to its principally polarized Jacobian. We verify the well known fact that the map induced on tangent…

The locus of plane curves in the moduli stack of curves

Big monodromy for higher Prym representations

Finite braid group orbits on SL2​-character varieties

Obstructions to applying the Baker--Bilu method for determining integral points on curves

A Lefschetz theorem for intersections with projective varieties

The infinitesimal Torelli problem

Finite braid group orbits on $S L_{2}$ -character varieties