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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
Multiplicities in Selmer groups and root numbers of Artin Twists, (with Tathagata mandal and Somnath Jha), to appear in Journal of Number Theory.
Twisting Lemma for Λ-adic modules, (with Sohan Ghosh and Somnath Jha), to appear in Asian Journal of Mathematics.
Relating the Tate-Shafarevitch group of an elliptic curve with the classgroup, (with Dipendra Prasad) , to appear in Pacific Journal of Mathematics.
p^r-Selmer companion modular forms, (with Somnath Jha, Dipramit Majumdar), to appear in Annales de l'Institut Fourier (Grenoble).
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