Tian Wang

most citedOn the effective version of Serre's open image theorem

3 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2022

An effective open image theorem for products of principally polarized abelian varieties

Jacob Mayle, Tian Wang

Let $A = \prod_{1 \leq i \leq n} A_{i}$ be the product of principally polarized abelian varieties $A_{1}, \dots, A_{n}$ of dimensions $g_{1}, \dots, g_{n}$ , respectively, each defined over a…

math.NT2022

Bounds for the distribution of the Frobenius traces associated to a generic abelian variety

Alina Carmen Cojocaru, Tian Wang

Let $A$ be an abelian variety defined over $Q$ and of dimension $g$ . Assume that, for each sufficiently large prime $ℓ$ , $A$ has a surjective residual modulo $ℓ$ Gal…

math.NT2022

Distribution of primes of split reductions for abelian surfaces

Tian Wang

Let $A$ be an absolutely simple abelian surface defined over a number field $K$ with a commutative (geometric) endomorphism ring. Let $π_{A, split} (x)$ denote the number of…

math.NT2021★ 3 cited

On the effective version of Serre's open image theorem

Jacob Mayle, Tian Wang

Let $E / Q$ be an elliptic curve without complex multiplication. By Serre's open image theorem, the mod $ℓ$ Galois representation $ρ_{E, ℓ}$ of $E$ is surject…