Aaron Landesman

activity

20162025

most citedLifting Subgroups of Symplectic Groups over

Z / ℓ Z

2 citations · 10 across the 13 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.NT2016

The twisting Sato-Tate group of the curve $y^{2} = x^{8} - 14 x^{4} + 1$

Sonny Arora, Victoria Cantoral-Farfán, Aaron Landesman +2

We determine the twisting Sato-Tate group of the genus $3$ hyperelliptic curve $y^{2} = x^{8} - 14 x^{4} + 1$ and show that all possible subgroups of the twisting Sato-Tate group arise…

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…

math.AG2016

Interpolation in Algebraic Geometry

Aaron Landesman, Anand Patel

This is an expanded version of the two papers "Interpolation of Varieties of Minimal Degree" and "Interpolation Problems: Del Pezzo Surfaces." It is well known that one can find a…

The twisting Sato-Tate group of the curve y2=x8−14x4+1

Surjectivity of Galois Representations in Rational Families of Abelian Varieties

Lifting Subgroups of Symplectic Groups over Z/ℓZ

Interpolation in Algebraic Geometry

The twisting Sato-Tate group of the curve $y^{2} = x^{8} - 14 x^{4} + 1$

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