My research domain consists of various topics:

I) Iwasawa theory (most of my papers are dedicated to this topic)

II) p-adic Langlands program, specifically multivariable étale (varphi-gamma) modules. (see paper 10 below)

III) rigid analytic automorphic representations (the papers 4 and 5 are dedicated to this topic)

IV) big image Galois representation of general reductive groups  (the paper 7 is dedicated to this topic)

V) p-rational number fields and numerical computations (the paper 8 studies Greenberg's conjecture on p-rational fields. Note that parts of this paper uses Cohen-Lenstra heuristics and Bartel and Lenstra (Proc. London Math. Soc. (3), 121, 2020) have now disproven the original Cohen-Lenstra-Martinet heuristics, making essential use of the main conjectures of Iwasawa theory.) 

Single author papers:

1. Jishnu Ray, Explicit ring-theoretic presentation of Iwasawa algebras, Comptes Rendus Mathématique, 356. Issue 11-12:1075-1080, 2018. 

2. Jishnu Ray, Presentation of the Iwasawa algebra of the first congruence kernel of a semi-simple, simply connected Chevalley group over Zp,  Journal of Algebra, 511:405–419, 2018.

3. Jishnu Ray, Explicit presentation of an Iwasawa algebra: The case of pro-p Iwahori subgroup of SLn(Zp), Forum Mathematicum, 32(2):319–338, 2020.

4. Jishnu Ray, Globally analytic principal series representation and Langlands base change, Pacific Journal of Mathematics, Vol. 307, No. 2, 455–490, 2020.

5. Jishnu Ray, Rigid analytic vectors of crystalline representations appearing in p-adic Langlands, Journal of Number Theory, volume 238, pages 82-105, September 2022.

6. Jishnu Ray. On the growth of \mu-invariant in Iwasawa theory of supersingular elliptic curves, Acta Arithmetica, 202 (2022), 241-251.

Papers in collaboration:

7. Christophe Cornut and Jishnu Ray, Generators of the pro-p Iwahori and Galois representations, International Journal of Number Theory, 14(1):37–53, 2018.

8. Razvan Barbulescu and Jishnu Ray, Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg’s p-rationality conjecture, Journal de Théorie des Nombres de Bordeaux, Tome 32 (2020) no. 1, pp. 159-177. 

9. Dong Han, Jishnu Ray and Feng Wei, Normal elements in the Iwasawa algebra of Chevalley groups, Manuscripta Mathematica, June 2020.

10. Jishnu Ray, Feng Wei and Gergely Zábrádi, Multivariable (φ,Γ)-modules and representations of products of  Galois Groups: The Case of Imperfect Residue Field, Bull. Soc. Math. France 149(3) (2021), 521-546, arxiv link: https:// arxiv.org/abs/2005.11887

11. Parham Hamidi and  Jishnu Ray, Conjecture A and μ-invariant for Selmer groups of supersingular elliptic curves, Journal de Théorie des Nombres de Bordeaux, Volume 33 (2021) no. 3.1, pp. 853-886.

12. Jeffrey Hatley, Debanjana Kundu, Antonio Lei, Jishnu Ray, Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms, The Ramanujan Journal 60, pages237–258 (2023).

13. Jishnu Ray and Ramdorai Sujatha, Selmer groups of elliptic curves over the PGL(2) extension, Nagoya Mathematical Journal, 248, (2022), 922-938, (https://www.doi.org/10.1017/nmj.2022.14)

14. Antonio Lei and  Jishnu Ray, Iwasawa theory of automorphic representations of GL(2n) at non-ordinary primes, Research in the Mathematical Sciences 10, Article number: 1 (2023), (https://doi.org/10.1007/s40687-022-00360-0)

15. Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio, Tadashi Ochiai, Jishnu Ray, A formal model of Coleman families and applications to Iwasawa invariants, Ann. Math. Québec (2023), (https://doi.org/10.1007/s40316-023-00217-0)

16.  Jishnu Ray and Florian Sprung, On characteristic power series of dual signed Selmer groups, to appear in Annales de I'Institut Fourier,(https://arxiv.org/abs/2205.04671)

17. Cédric Dion and Jishnu Ray, On the Mordell-Weil Ranks of supersingular abelian varieties over ℤ_p^2-extensions, to appear in Israel Journal of Mathematics, (http://arxiv.org/abs/2112.00280)

Preprints in collaboration:

18. Aranya Lahiri and Jishnu Ray, Presentation of an Iwasawa algebra: The pro-p Iwahori of reductive groups, arxiv link: https://arxiv.org/pdf/2301.00458.pdf

19. Jishnu Ray and Florian Sprung, On the signed Selmer groups for motives at non-ordinary primes in ℤ_p^2-extensions, arxiv link: https://arxiv.org/abs/2309.02016

20. Sohan Ghosh and Jishnu Ray, Completed but not posted on arxiv yet.

Single author preprints:

21. Jishnu Ray, Asymptotic growth of the signed Tate-Shafarevich groups for supersingular abelian varieties, arxiv link: https://arxiv.org/abs/2304.13452

22. Jishnu Ray, Completed but not posted on arxiv yet.

Errors:

• In article 13, page 937, line 8, I think there is a gap here which I figured out after the paper got published. When the prime v is over S but not over S_p, in this situation two cases can occur. Namely when ord_v(j_E) <0 and when ord_v(j_E) >= 0. The first case is considered in the paper while the later case corresponds to primes with bad reduction but potentially good reduction. This later case is not considered and hence is a gap in the proof. My intuition is that this case can also be handled but I have not spent time on it  since Theorem 4.6 is still true because a different proof is given in Sarah Zerbes' thesis (Chapter 9, Section 3).