Jishnu Ray

activity

20162026

most citedNumerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's

p

-rationality conjecture

4 citations · 11 across the 24 of their papers we have counts for

collaborators

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24 papers · 1 filter

math.NT2026

Refined conjectures on Fitting ideals of BDP Selmer groups

Chan-Ho Kim, Aprameyo Pal, Jishnu Ray

Under mild assumptions, we prove the strong main conjecture for BDP Selmer groups of elliptic curves with good reduction in the sense of Kurihara's refined Iwasawa theory. In parti…

math.NT2026

Euler systems and the symmetric square of a Hida family

Debanjana Kundu, Jishnu Ray, Stefano Vigni

Let $p \geq 7$ be a prime number. We build a non-trivial Euler system for the symmetric square of a $p$ -adic Hida family of modular forms interpolating the Euler system constructed b…

math.NT2026

Iwasawa invariants of Bertolini--Darmon theta elements

Abhishek, Jishnu Ray, Pronay Kumar Karmakar

In this article we study the Iwasawa invariants of Bertolini--Darmon theta elements in the anticyclotomic $Z_{p}$ -extension of an imaginary quadratic field $K$ for weight tw…

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 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.NT2024

Characteristic ideal of the fine Selmer group and results on $μ$ -invariance under isogeny in the function field case

Sohan Ghosh, Jishnu Ray

Consider a function field $K$ with characteristic $p > 0$ . We investigate the $Λ$ -module structure of the Mordell-Weil group of an abelian variety over $Z_{p}$ -extensions of $…

math.NT2024

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…

math.NT2023

On the signed Selmer groups for motives at non-ordinary primes in $Z_{p}^{2}$ -extensions

Jishnu Ray, Florian Sprung

Generalizing the work of Kobayashi and the second author for elliptic curves with supersingular reduction at the prime $p$ , Büyükboduk and Lei constructed multi-signed Selmer group…

math.NT2023

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 Büyükboduk--Lei, we define some…

math.NT2023★ 1 cited

A formal model of Coleman families and applications to Iwasawa invariants

Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio, Tadashi Ochiai, Jishnu Ray

For a given Coleman family of modular forms, we construct a formal modeland prove the existence of a family of Galois representations associated to the Colemanfamily. As an applica…

math.NT2022

On characteristic power series of dual signed Selmer groups

Jishnu Ray, Florian Sprung

We relate the cardinality of the $p$ -primary part of the Bloch-Kato Selmer group over $Q$ attached to a modular form at a non-ordinary prime $p$ to the constant term of th…

math.NT2022

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Jeffrey Hatley, Debanjana Kundu, Antonio Lei +1

Let $O$ be the ring of integers of a finite extension of $Q_{p}$ . We prove two control theorems for fine Selmer groups of general cofinitely generated modules over…

math.NT2021

On the Mordell-Weil Ranks of supersingular abelian varieties over $Z_{p}^{2}$ -extensions

Cédric Dion, Jishnu Ray

Let $p$ be a fixed odd prime and let $K$ be an imaginary quadratic field in which $p$ splits. Let $A$ be an abelian variety defined over $K$ with supersingular reduction at both pr…

math.NT2020

Iwasawa theory of automorphic representations of $GL_{2 n}$ at non-ordinary primes

Antonio Lei, Jishnu Ray

Let $Π$ be a cuspidal automorphic representation of $GL_{2 n} (A_{Q})$ and let $p$ be an odd prime at which $Π$ is unramified. In a recent work, Barrera, Dimitrov and…

math.NT2020

Conjecture A and $μ$ -invariant for Selmer groups of supersingular elliptic curves

Parham Hamidi, Jishnu Ray

Let $p$ be an odd prime and let $E$ be an elliptic curve defined over a number field $F$ with good reduction at primes above $p$ . In this survey article, we give an overview of som…

math.NT2020

Rigid analytic vectors of crystalline representations arising in $p$ -adic Langlands

Jishnu Ray

Let $B (V)$ be the admissible unitary $G L_{2} (Q_{p})$ -representation associated to two dimensional crystalline Galois representation $V$ by $p$ -adic Langlands construc…

math.NT2020

On the growth of $μ$ -invariant in Iwasawa theory of supersingular Elliptic curves

Jishnu Ray

In this article, we provide a relation between the $μ$ -invariants of the dual plus and minus Selmer groups for supersingular elliptic curves when we ascend from the cyclotomic $\ma…

math.NT2020

Multivariable $(φ, Γ)$ -modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field

Jishnu Ray, Feng Wei, Gergely Zábrádi

Let $K$ be a complete discretely valued field with mixed characteristic $(0, p)$ and imperfect residue field $k_{K}$ . Let $Δ$ be a finite set. We construct an equivalence of categori…

math.NT2019

Non-existence of non-trivial normal elements in the Iwasawa Algebra of Chevalley groups

Dong Han, Jishnu Ray, Feng Wei

For a prime $p > 2$ , let $G$ be a semi-simple, simply connected, split Chevalley group over $Z_{p}$ , $G (1)$ be the first congruence kernel of $G$ and $Ω_{G (1)}$ be the mod- $p$ …

math.NT2018★ 2 cited

Globally analytic principal series representation and Langlands base change

Jishnu Ray

S. Orlik and M. Strauch have studied locally analytic principal series representation for general $p$ -adic reductive groups generalizing an earlier work of P. Schneider for $G L (2)$ …

math.NT2017★ 2 cited

Presentation of the Iwasawa algebra of the pro- $p$ Iwahori subgroup of $G L_{n} (Z_{p})$

Jishnu Ray

Iwasawa algebras of compact $p$ -adic Lie groups are completed group algebras with applications in number theory in studying class numbers of towers of number fields and representat…

math.NT2017★ 4 cited

Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's $p$ -rationality conjecture

Razvan Barbulescu, Jishnu Ray

In this paper we make a series of numerical experiments to support Greenberg's $p$ -rationality conjecture, we present a family of $p$ -rational biquadratic fields and we find new ex…

math.NT2016

Generators of the pro-p Iwahori and Galois representations

Christophe Cornut, Jishnu Ray

For an odd prime p, we determine a minimal set of topological generators of the pro-p Iwahori subgroup of a split reductive group G over Z\_p. In the simple adjoint case and for an…

math.NT2016★ 2 cited

Presentation of the Iwasawa algebra of the first congruence kernel of a semi-simple, simply connected Chevalley group over $Z_{p}$

Jishnu Ray

It is a general principle that objects coming from semi-simple, simply connected (split) groups have explicit presentations like Serre's presentation of semi-simple algebras and St…

Refined conjectures on Fitting ideals of BDP Selmer groups

Euler systems and the symmetric square of a Hida family

Iwasawa invariants of Bertolini--Darmon theta elements

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

On anticyclotomic Selmer groups of elliptic curves

Characteristic ideal of the fine Selmer group and results on μ-invariance under isogeny in the function field case

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

On the signed Selmer groups for motives at non-ordinary primes in Zp2​-extensions

On signed Mordell-Weil groups for abelian varieties

A formal model of Coleman families and applications to Iwasawa invariants

On characteristic power series of dual signed Selmer groups

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

On the Mordell-Weil Ranks of supersingular abelian varieties over Zp2​-extensions

Iwasawa theory of automorphic representations of GL2n​ at non-ordinary primes

Conjecture A and μ-invariant for Selmer groups of supersingular elliptic curves

Rigid analytic vectors of crystalline representations arising in p-adic Langlands

On the growth of μ-invariant in Iwasawa theory of supersingular Elliptic curves

Multivariable (φ,Γ)-modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field

Non-existence of non-trivial normal elements in the Iwasawa Algebra of Chevalley groups

Globally analytic principal series representation and Langlands base change

Presentation of the Iwasawa algebra of the pro-p Iwahori subgroup of GLn​(Zp​)

Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's p-rationality conjecture

Generators of the pro-p Iwahori and Galois representations

Presentation of the Iwasawa algebra of the first congruence kernel of a semi-simple, simply connected Chevalley group over Zp​

Characteristic ideal of the fine Selmer group and results on $μ$ -invariance under isogeny in the function field case

On the signed Selmer groups for motives at non-ordinary primes in $Z_{p}^{2}$ -extensions

On the Mordell-Weil Ranks of supersingular abelian varieties over $Z_{p}^{2}$ -extensions

Iwasawa theory of automorphic representations of $GL_{2 n}$ at non-ordinary primes

Conjecture A and $μ$ -invariant for Selmer groups of supersingular elliptic curves

Rigid analytic vectors of crystalline representations arising in $p$ -adic Langlands

On the growth of $μ$ -invariant in Iwasawa theory of supersingular Elliptic curves

Multivariable $(φ, Γ)$ -modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field

Presentation of the Iwasawa algebra of the pro- $p$ Iwahori subgroup of $G L_{n} (Z_{p})$

Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's $p$ -rationality conjecture

Presentation of the Iwasawa algebra of the first congruence kernel of a semi-simple, simply connected Chevalley group over $Z_{p}$