D. Zywina

activity

20082026

most citedElliptic curves with maximal Galois action on their torsion points

37 citations · 235 across the 35 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019

Families of abelian varieties and large Galois images

David Zywina

Associated to an abelian variety $A$ of dimension $g$ over a number field $K$ is a Galois representation $ρ_{A} : G a l (K ˉ / K) \to G L_{2 g} (Z^)$ . The representation…

math.NT2019★ 1 cited

An effective open image theorem for abelian varieties

David Zywina

Fix an abelian variety $A$ of dimension $g \geq 1$ defined over a number field $K$ . For each prime $ℓ$ , the Galois action on the $ℓ$ -power torsion points of $A$ induces a repr…