Jishnu Ray

works on

euler systems 1 hida families 1 iwasawa theory 1 p-adic l-functions 1 selmer groups 1 symmetric square 1

From the 1 of 5 linked papers with an AI index.

collaborators

5 papers

math.NT2026

Euler systems and the symmetric square of a Hida family

Debanjana Kundu, Jishnu Ray, Stefano Vigni

The paper constructs a non‑trivial Euler system for the symmetric square of a p‑adic Hida family of modular forms, proves an algebraic functional equation for the associated dual S…

math.NT2026

Explicit isomorphisms for a Herr-type complex over a metabelian extension

Anand Chitrao, Aditya Karnataki, Jishnu Ray

Let $S$ be a Banach algebra over $Q_{p}$ whose residue fields are finite extensions of $Q_{p}$ . Given an arithmetic family $V$ of Galois representations, i.e., a fini…

math.NT2025

On signed Mordell-Weil groups for abelian varieties

Jishnu Ray

In this short note, we work in the general framework of supersingular abelian varieties defined over $Q$ . Using Coleman maps constructed by BÃ¼yÃ¼kboduk--Lei, we define so…

math.NT2025

On anticyclotomic Selmer groups of elliptic curves

Matteo Longo, Jishnu Ray, Stefano Vigni

Let $p \geq 5$ be a prime number and let $K$ be an imaginary quadratic field where $p$ is unramified. Under mild technical assumptions, in this paper we prove the non-existence of no…

math.NT2025

On a parity result for the symmetric square of modular forms with congruent residual representations

Jishnu Ray

The parity of Selmer ranks for elliptic curves defined over the rational numbers $Q$ with good ordinary reduction at an odd prime $p$ has been studied by Shekhar. The proo…