SAMIT DASGUPTA     Assistant Professor of Mathematics     A.B., Harvard University     Ph.D., University of California Berkeley     my page

Phone: 831-459-5176 Office: Baskin 351 Office Hours: By Appt. Email: sdasgup2@ucsc.edu

RESEARCH INTERESTS

Assistant Professor Samit Dasgupta's research focuses on number theory and arithmetic algebraic geometry. Specifically, he studies the connections between special values of L-functions, algebraic points on Abelian varieties, and units in number fields. The Alfred P. Sloan Foundation has selected Dasgupta to receive a 2009 Sloan Research Fellowship. His work uses the theory of p-adic modular forms and Galois representations, and has enabled him to make headway on some central problems in modern number theory. In particular, he has made progress on Stark's conjectures, which are precise versions of Hilbert’s 12th problem, and on related conjectures of Gross. These conjectures consist of explicit formulae which express units in number fields in terms of special values of certain L-functions. Dasgupta’s work in this area represents significant progress since Stark first made his conjectures in the 1970's.

SELECTED PUBLICATIONS

S. Dasgupta and A. Miller, A Shintani-type formula for Gross–Stark units over function fields, J. Math. Sci. Univ. Tokyo, in press.

S. Dasgupta, Shintani zeta functions and Gross–Stark units for totally real fields, Duke Math. J., 143 (2008), no. 2, 225–279.

S. Dasgupta, Computations of elliptic units for real quadratic fields, Canad. J. Math., 59 (2007), 553–574.

H. Darmon and S. Dasgupta, Elliptic units for real quadratic fields, Ann. of Math., 163 (2006), 301–345.

S. Dasgupta, Stark–Heegner points on modular jacobians, Ann. Sci. Éc. Norm. Supér. (4), 38 (2005), 427–469.

 Complete List of Publications

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