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About me:
About me:
I am presently an NBHM postdoctoral fellow at the Indian Institute of Science. Earlier, I was a postdoctoral fellow at IISER Mohali and HRI. I completed my Ph.D. at the Indian Institute of Technology Kanpur, under the supervision of Professors Somnath Jha and Sudhanshu Shekhar.
Research Interest:
Research Interest:
My broad area of research is Algebraic Number theory and Arithmetic Geometry. I work on problems related to Iwasawa theory over function fields and number fields.
Publications:
Publications:
On Selmer groups over Greenberg neighbourhoods in the function field case , (with Jishnu Ray), accepted for publication in Ann. Math. Quebec
Finiteness and cofiniteness of fine Selmer groups over function fields, (with Jishnu Ray, Takashi Suzuki), accepted for publication in the Proceedings of the American Mathematical Society.
On the Iwasawa theory of Cayley graphs, (with Anwesh Ray), Research in the Mathematical Sciences.
Twisting lemma for Λ-adic modules, (with Somnath Jha, Sudhanshu Shekhar), Asian Journal of Mathematics 25(4) (2021), 551-564.
Submitted articles:
Submitted articles:
A Study of Fine Selmer Groups Over Function Fields via Greenberg Neighbourhoods.
On $\mu$-invariants and isogenies of abelian varities over function field, (with Jishnu Ray, Takashi Suzuki), https://arxiv.org/abs/2407.21431
Iwasawa theory of fine Selmer groups over global fields, (with Somnath Jha, Sudhanshu Shekhar), preprint, arXiv:2201.01751.
Articles under preparation:
Articles under preparation:
Algebraic functional equation over function fields of characteristic p.
Talks/Lectures given:
Talks/Lectures given:
The Congruent Number Problem, 2019 (Student Seminar Series IITK).
p-adic Valuation, 2020 (Student Seminar Series IITK).
Introduction to Elliptic Curves, April 2022 (Student Seminar Series IITK).
Fine Selmer groups, September 2022 (joining Seminar at HRI.)
Complex Multiplication (National Center for Mathematics workshop on Elliptic Curves, Elliptic Functions and Trancendence at HRI)
On the Pseudonullity of Fine Selmer groups over Function Fields (Rational points on modular curves, ICTS, Bangalore)
Introduction to Perfectoid Rings, https://sites.google.com/view/seminar-prismatic-cohomology/home.
Introduction to finite flat group schemes (PhD-Postdoc Meet at HRI 2024).
Seminars organised:
Seminars organised:
Elliptic Curves over function fields, Online (with Đặng Tuấn Thương, Đặng Quốc Huy, Nguyễn Đăng Khải Hoàn, Nguyễn Quang Khải), www.khaihoanmath.org/activities/seminars/function-field .
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