A. Swaminathan

activity

20132026

most citedSurjectivity of Galois Representations in Rational Families of Abelian Varieties

16 citations · 48 across the 25 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.NT2016★ 16 cited

Surjectivity of Galois Representations in Rational Families of Abelian Varieties

Aaron Landesman, Ashvin Swaminathan, James Tao +1

In this article, we show that for any non-isotrivial family of abelian varieties over a rational base with big monodromy, those members that have adelic Galois representation with…

math.GR2016★ 2 cited

Lifting Subgroups of Symplectic Groups over $Z / ℓ Z$

Aaron Landesman, Ashvin Swaminathan, James Tao +1

For a positive integer $g$ , let $Sp_{2 g} (R)$ denote the group of $2 g \times 2 g$ symplectic matrices over a ring $R$ . Assume $g \geq 2$ . For a prime number $ℓ$ , we give a…

math.NT2016

Permutations that Destroy Arithmetic Progressions in Elementary $p$ -Groups

Noam D. Elkies, Ashvin Swaminathan

Given an abelian group $G$ , it is natural to ask whether there exists a permutation $π$ of $G$ that "destroys" all nontrivial 3-term arithmetic progressions (APs), in the sense tha…

Surjectivity of Galois Representations in Rational Families of Abelian Varieties

Lifting Subgroups of Symplectic Groups over Z/ℓZ

Permutations that Destroy Arithmetic Progressions in Elementary p-Groups

Lifting Subgroups of Symplectic Groups over $Z / ℓ Z$

Permutations that Destroy Arithmetic Progressions in Elementary $p$ -Groups