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20212026
most citedRank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in -Extensions

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2026

Average divisibility in character tables of

Anwesh Ray, Mishty Ray

Let range over odd prime powers and let . Fix a prime number . Motivated by work of Peluse and Soundararajan on Miller's conjecture for c…

math.RT2026

Asymptotic Vanishing of Stiefel--Whitney Classes for

Anwesh Ray

We study the asymptotic behavior of Stiefel--Whitney classes of irreducible orthogonal representations of the finite general linear groups . Building o…

math.NT2024

A positive density of elliptic curves are diophantine stable in certain Galois extensions

Anwesh Ray, Pratiksha Shingavekar

Let and consider a cyclic -extension . We show that there exists an effective positive density of elliptic curves defined over $ \mathbb{Q}…

math.NT2022

On the corank of the fine Selmer group of an elliptic curve over a -extension

Anwesh Ray

Let be an odd prime and be a -extension of a number field . Given an elliptic curve over , we study the structure of the fine Selmer group ov…

math.NT2022

On large Iwasawa -invariants of imaginary quadratic function fields

Anwesh Ray

Let be a prime number and be a power of . Given an odd prime number and an imaginary quadratic extension of the rational function field ,…

math.NT2021★ 3 cited

Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in -Extensions

Lea Beneish, Debanjana Kundu, Anwesh Ray

In this paper, we use techniques from Iwasawa theory to study questions about rank jump of elliptic curves in cyclic extensions of prime degree. We also study growth of the -pri…