Photo taken at the International Centre for Theoretical Sciences (ICTS)
Academic positions:
Present Position:
(July 2023 - ) Promoted to Reader F faculty position at HRI.
(Dec 2022 - June 2023) Faculty (Fellow E) in the Department of Mathematics, Harish-Chandra Research Institute (HRI), Chhatnag Road, Jhunsi, Prayagraj, 211 019 India.
Date of joining HRI: 1st December 2022.
Previous Position:
(Feb 2022 - Nov 2022) Assistant Professor in the Institute for Advancing Intelligence,
TCG Centres for Research and Education in Science and Technology,
Address: 1st Floor, Tower 1, Bengal Eco Intelligent Park (Techna Building), Block EM,
Plot No 3, Sector V, Salt Lake, Kolkata 700091
Website: https://www.tcgcrest.org
Postdoctoral research:
TIFR Postdoctoral Fellowship
Institution: Tata Institute of Fundamental Research
Advisor: Prof. Eknath Ghate
Funding: Funded by postdoc fellowship from TIFR
Period: March 2021-Jan 2022
CRM Postdoctoral Fellowship
Institution: University of Montréal
Advisor: Prof. Antonio Lei
Funding: Funded by Centre de recherches mathématiques (CRM)
Period: 6 months (31 August 2020-February 2021)
CNRS-PIMS Postdoctoral Fellowship with teaching
Institution: University of British Columbia
Advisor: Prof. Sujatha Ramdorai
Funding: Postdoctoral PIMS-CNRS and Faculty fellowship, and Teaching fellowship.
Period: 24 months (Sept. 2018 – Aug. 2020)
Other Post-Defense Research and International Collaboration and Project Works:
Institution: Université Paris-Sud and Beijing Institute of Technology
Period: approximately 2 months (3rd July 2018- 31st August 2018).
Research Interests: Arithmetic geometry, Iwasawa theory, p-adic Hodge theory, p-adic representation theory and p-adic Langlands Program.
Applications: Selmer groups in Iwasawa theory provides deep arithmetic insights into the theory of elliptic curves (defined by cubic equations) which are widely used in modern-day data security and cryptography. Furthermore, isogeny graphs of supersingular elliptic curves have recently found tremendous applications in the proposal for developing quantum safe cryptosystems (https://eprint.iacr.org/2011/506.pdf). Selmer groups encode several arithmetic informations associated to elliptic curves, which naturally makes them an important object to study. One of the most important problems in number theory and geometry today is the celebrated Birch and Swinnerton-Dyer conjecture (BSD) that describes how many points there can be on any elliptic curves. Although a full solution of this conjecture is still very far, classical Iwasawa Theory provides ways of studying arithmetic properties of elliptic curves and find examples of BSD.
Address:
Office 204, Harish-Chandra Research Institute Chhatnag Road, Jhunsi, Prayagraj (Allahabad) 211 019 India.
Office phone: 0532227 4319
Emails: jishnuray[at]hri(dot)res(dot)in; jishnuray1992[at]gmail(dot)com