Home

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.

Publications

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.
Congruence formula for certain dihedral twists, (with R. Sujatha), Transactions of American Mathematical Society, Vol 367, 2015, no 5, 3579-3598.
Euler characteristic and congruence of elliptic curves, Munster Journal of Mathematics (with R. Sujatha), vol 17, 2014, no 1, 327-343.
Euler Characteristic of Lambda-adic forms over Kummer extensions, International Journal of Number Theory, vol 10, 2014, no 2, 401-419.
On the structure of Selmer groups of Lambda adic deformations over p-adic Lie extensions, Documenta Math (with R. Sujatha), Vol 17, 2012, 573-606.

Contact address :

FB 560, Department of Math & Stat,

IIT Kanpur, Kanpur 208016.

Email : sudhansh at iitk dot ac dot in

Google Sites

Report abuse