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

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Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 9 cited

The geometric average size of Selmer groups over function fields

Aaron Landesman

We show, in the large $q$ limit, that the average size of $n$ -Selmer groups of elliptic curves of bounded height over $F_{q} (t)$ is the sum of the divisors of $n$ . As a corol…

math.NT2018

An explicit Abelian surface with maximal Galois action

Quinn Greicius, Aaron Landesman

We construct an explicit example of a genus $2$ curve $C$ over a number field $K$ such that the adelic Galois representation arising from the action of $\operatorname{Gal}(\overlin…