Sohan Ghosh
Sohan Ghosh
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About me: I am presently an NBHM postdoctoral fellow at the Indian Institute of Science. Earlier, I was a postdoc at Harish-Chandra Research Institute. I completed my Ph.D. at the Indian Institute of Technology Kanpur, under the supervision of Somnath Jha and Sudhanshu Shekhar.
I did my master's at the Indian Institute of Technology Guwahati. My master's thesis is on the Congruent Number Problem under the supervision of Anupam Saikia.
Research Interests
Research Interests
My research area is Arithmetic Geometry. In particular, I work on problems in Iwasawa theory over number fields and function fields.
Publications
Publications
On μ-invariants and isogenies of abelian varieties over function fields, (with Jishnu Ray, Takashi Suzuki), Mathematische Annalen, Vol 396, No.12 (2026).
Iwasawa theory of fine Selmer groups over global fields, (with Somnath Jha, Sudhanshu Shekhar), Mathematische Zeitschrift, Vol. 311, No. 4 (2025).
On Selmer groups over Greenberg neighbourhoods in the function field case, (with Jishnu Ray), Annales mathématiques du Québec, Vol. 50, No. 1 (2026).
Finiteness and cofiniteness of fine Selmer groups over function fields, (with Jishnu Ray, Takashi Suzuki), Proceedings of the American Mathematical Society, Vol. 153, No. 10 (2025).
On the Iwasawa theory of Cayley graphs, (with Anwesh Ray), Research in the Mathematical Sciences, Vol. 12, No. 2 (2025).
Twisting lemma for Λ-adic modules, (with Somnath Jha, Sudhanshu Shekhar), Asian Journal of Mathematics, Vol. 25, No. 4 (2021), pp. 551-564.
Preprints
Preprints
A Study of Fine Selmer Groups Over Function Fields via Greenberg Neighbourhoods. https://arxiv.org/abs/2506.22002
Talks
Talks
Iwasawa theory via Greenberg Neighbourhoods, May 2026 (IISER Mohali).
Algebraic Functional Equation, September 2024 (Seminar at HRI).
Introduction to finite flat group schemes, March 2024 (PhD-Postdoc Meet at HRI).
Introduction to Perfectoid Rings, March 2024 (Reading Seminar on Prismatic Cohomology).
On the Pseudonullity of Fine Selmer groups over Function Fields, September 2023 (Rational points on modular curves, ICTS Bangalore).
Complex Multiplication, November 2022 (National Centre for Mathematics workshop on Elliptic Curves, Elliptic Functions and Transcendence at HRI).
Fine Selmer groups, September 2022 (Seminar at HRI).
Introduction to Elliptic Curves, April 2022 (Student Seminar Series, IITK).
p-adic Valuation, February 2020 (Student Seminar Series, IITK).
The Congruent Number Problem, April 2019 (Student Seminar Series, IITK).
Seminars organised
Seminars organised
Shimura Varieties, February-April 2026 (IISc, jointly with Ravitheja Vangala).
Discussion Meeting on Heegner Points & Euler Systems, 19-23 November 2025 (HRI, jointly with Shamik Das).
Elliptic Curves over Function Fields (Online), March-May 2024 (jointly with Nguyễn Đăng Khải Hoàn).
PhD-Postdoc Meet, November 2023 (HRI, jointly with Jitendra Rathore).
Teaching
Teaching
Teaching Assistant, Real Analysis (UM 204), Indian Institute of Science, January-April 2026.
Teaching Assistant, Measure Theory (MTH 306), IISER Mohali, January-April 2025.
Instructor, Complex Multiplication, NCM workshop on Elliptic Curves, Elliptic Functions and Transcendence, HRI, November 2022.
Teaching Assistant at IIT Kanpur: Linear Algebra (MTH 204), May-July 2020; Partial Differential Equations (MSO 203M), June-July 2019; Complex Analysis (MSO 202M), May-June 2019; Abstract Algebra (MTH 204), January-April 2019; Single Variable Calculus (MTH 101), August-November 2018.
Curriculum Vitae (PDF)
Links: Mathscinet, Arxiv
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