A. Suresh

most citedRealizing Galois representations in abelian varieties by specialization

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2022★ 1 cited

Realizing Galois representations in abelian varieties by specialization

Arvind Suresh

We give some positive answers to the following problem: Given a field $K$ and a continuous Galois representation $ρ : G_{K} \to G L_{n} (Q)$ , construct an abelian variety $J / K$ of…

math.NT2021

Integer Dynamics

Dino Lorenzini, Mentzelos Melistas, Arvind Suresh +2

Let $b \geq 2$ be an integer, and write the base $b$ expansion of any non-negative integer $n$ as $n = x_{0} + x_{1} b + \dots + x_{d} b^{d}$ , with $x_{d} > 0$ and $0 \leq x_{i} < b$ for $i=0,\dots,…

math.NT2021

Constructing curves of high rank via composite polynomials

Arvind Suresh

Let $k$ be a number field. We refine a construction of Mestre--Shioda to construct (infinite) families of hyperelliptic curves $X / k$ having a record number of rational points and…