Aaron Landesman

activity

20142025

most citedSurjectivity of Galois Representations in Rational Families of Abelian Varieties

16 citations · 61 across the 27 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

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.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…

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

Finite braid group orbits on SL2​-character varieties

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

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