Yujie Xu

most citedLifting Subgroups of Symplectic Groups over

Z / ℓ Z

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2017

Hyperelliptic Curves with Maximal Galois Action on the Torsion Points of their Jacobians

Aaron Landesman, Ashvin Swaminathan, James Tao +1

In this article, we show that in each of four standard families of hyperelliptic curves, there is a density- $1$ subset of members with the property that their Jacobians have adelic…

math.NT2016

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…

Hyperelliptic Curves with Maximal Galois Action on the Torsion Points of their Jacobians

Surjectivity of Galois Representations in Rational Families of Abelian Varieties

Lifting Subgroups of Symplectic Groups over Z/ℓZ

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