Welcome to my homepage.
I am a faculty member in the Department of Mathematics and Statistics at IIT Kanpur.
The broad areas of my research are Algebraic Number Theory and Arithmetic Geometry.
Iwasawa theory of fine Selmer groups over global fields, (with Sohan Ghosh and Somnath Jha), Mathematische Zeitschrift, 2025, 30 Pages, to appear.
Iwasawa theory of Rankin-Selberg product at an Eisenstein prime, (with Ravitheja Vangala & Somnath Jha), Journal of Number Theory, 279 (2026), 348-410.
2-Selmer companion modular forms, (with Abhishek and Somnath Jha), ( 2025), To appear in Annales mathématiques du Québec.
Multiplicities in Selmer groups and root numbers of Artin Twists, (with Somnath Jha and Tathagata Mandal), Journal of Number Theory, 238 (2022), 147-182.
Twisting Lemma for Λ-adic modules, (with Sohan Ghosh and Somnath Jha), Asian Journal of Mathematics, 25, no 4, 2021, 441-564.
Relating the Tate-Shafarevitch group of an elliptic curve with the class group (with Dipendra Prasad), Pacific Journal of Mathematics, Vol. 312 (2021), No. 1, 203–218.
p^r-Selmer companion modular forms, (with Somnath Jha, Dipramit Majumdar), Annales de l'Institut Fourier (Grenoble), 71, 1 (2021) 53-87.
Non-commutative twisted Euler characteristic, (with Somnath Jha), Munster Journal of Mathematics, 11 (2018), 1–12.
Root numbers and parity of local Iwasawa invariants, (with Suman Ahmed and Chandrakant Aribam) , Journal of Number Theory, Volume 177, 285-306, 2017.
Comparing the corank of fine Selmer group and Selmer group of elliptic curves, Journal of Ramanujan Mathematical Society, Volume 33, Issue 2, June 2018, pp 205-217.
Parity of ranks of elliptic curves with equivalent mod p Galois representations, Proceedings of American Mathematical Society, vol 144, 2016, no 8, 3255-3266.
λ-invariants of Selmer groups of elliptic curves with positive μ-invariant, (with Suman Ahmed), Journal of Ramanujan Mathematical Society, vol 30, 2015, 115-133.
Contact address :
FB 560, Department of Math & Stat,
IIT Kanpur, Kanpur 208016.
Email : sudhansh at iitk dot ac dot in