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Somnath Jha
PhD (Tata Institute of Fundamental Research, Mumbai)
Associate Professor, Department of Mathematics and Statistics
Research Interest
Number Theory, Arithmetic Geometry
FB-561, IIT Kanpur, Kanpur -208016, Uttar Pradesh, India
Education
PhD, TIFR Mumbai, 2012.Thesis title: Fine Selmer group of Hida deformationsThesis supervisor: Prof. Sujatha Ramdorai
M.Math. ISI Kolkata, 2006.
B.Sc. (Mathematics Hons.) Ramakrishna Mission Vidaymandira, Belur Math, 2004.
Professional Affiliations
JSPS (Japan Society for the Promotion of Science) Postdoctoral Fellow with Prof. Tadashi Ochiai, Osaka University, Japan, 2012-2014
MATCH (Mathematics Center at Heidelberg) Postdoctoral Fellow at University of Heidelberg, Germany in the working group of Prof. Dr. Otmar Venjakob, 2011-2012
Selected Publications
S. Ghosh, S. Jha and S. Shekhar, Twisting lemma for Λ-adic modules, Asian Journal of Mathematics, 14 Pages, 2021, in press, to appear
S. Jha, T. Mandal & S. Shekhar, Multiplicities in Selmer groups and root number for Artin twists, Journal of Number Theory, 36 pages, published online, 2021, https://doi.org/10.1016/j.jnt.2021.08.007.
S. Jha, D. Majumdar and S. Shekhar, pr-Selmer companion modular forms, Annales de l’Institut Fourier (Grenoble), 71(1) (2021) 53-87.
S. Jha and T. Ochiai, Control Theorem and Functional equation of Selmer groups over p-adic Lie extensions, Selecta Mathematica (N.S.), 26(5) Article no. 80, (2020), 58 pages.
S. Jha and S. Shekhar, Non-commutative twisted Euler characteristic, Münster Journal of Mathematics, 11(1), (2018) 1-12.
S. Jha, T. Ochiai and G. Z ́abr ́adi, On twists of modules over non-commutative Iwasawa algebras, Algebra & Number Theory, 10(3), (2016) 685-694.
S. Jha and D. Majumdar, Functional equation for the Selmer group of nearly ordinary Hida deformation of Hilbert modular forms, Asian Journal of Mathematics, 21(3), (2017) 397-428.
Somnath Jha 2 S. Jha and A. Pal, Algebraic functional equation for Hida family, International Journal of Number Theory, 10(7), (2014) 1649-1674.
S. Jha, Fine Selmer group of Hida deformations over non-commutative p-adic Lie extensions, Asian Journal of Mathematics, 16(2), (2012) 353-366.
S. Jha and R. Sujatha, On the Hida deformations of fine Selmer groups, Journal of Algebra, 338(1), (2011), 180-196.
Keywords
Number Theory, Elliptic curves, Selmer groups