works on

From the 1 of 7 linked papers with an AI index.

activity
20242026
collaborators

7 papers

math.NT2026

Greenberg's conjecture for lisse sheaves over global function fields

Anwesh Ray

The paper proves that for lisse ℤ_ℓ‑sheaves over a global function field, the Pontryagin dual of the associated Selmer group is a finitely generated torsion module over the Iwasawa…

math.NT2026

Galois representations are surjective for almost all Drinfeld modules

Anwesh Ray

This article advances the results of Duke on the average surjectivity of Galois representations for elliptic curves to the context of Drinfeld modules over function fields. Let

math.NT2025

Diophantine stability for elliptic curves on average

Anwesh Ray, Tom Weston

Let be a number field and a prime number. Mazur and Rubin introduced the notion of diophantine stability for a variety at a prime . We show that th…

math.NT2025

Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves

Anwesh Ray

Let be an elliptic curve and be an odd prime number at which has good ordinary reduction. Let denote the -primar…

math.NT2025

On the Iwasawa invariants of Artin representations

Aditya Karnataki, Anwesh Ray

We study Iwasawa invariants associated to Selmer groups of Artin representations, and criteria for the vanishing of the associated algebraic Iwasawa invariants. The conditions obta…

math.NT2025

An analogue of Kida's formula in graph theory

Anwesh Ray, Daniel Vallières

Let be a rational prime and let be a Galois cover of finite graphs whose Galois group is a finite -group. Consider a -tower above…