Samit Dasgupta

Assistant Professor
Department of Mathematics
University of California, Santa Cruz

Office: Baskin Engineering 351
E-mail: sdasgup2 (at) ucsc (dot) edu

Mailing address:
Department of Mathematics
1156 High Street
Santa Cruz, CA 95064

Course Webpages

Math 111A, Algebra

 
Journal Articles

L-Invariants and Shimura Curves, (with Matthew Greenberg),
submitted. 		pdf
Hilbert Modular Forms and the Gross-Stark Conjecture, (with Henri Darmon and Robert Pollack),
submitted. 		pdf
A Shintani-Type Formula for Gross-Stark Units over Function Fields, (with Alison Miller),
Journal of Mathematical Sciences, The University of Tokyo, 16 (2009), no. 3, 415-440. 		pdf
Shintani Zeta Functions and Gross-Stark Units for Totally Real Fields,
Duke Mathematical Journal, 143 (2008), no. 2, 225-279. 		pdf
Elliptic Units for Real Quadratic Fields, (with Henri Darmon),
Annals of Mathematics, 163 (2006), 301-345. 		pdf
Computations of Elliptic Units for Real Quadratic Fields,
Canadian Journal of Mathematics, 59 (2007), 553-574. 		pdf
Stark-Heegner Points on Modular Jacobians,
Annales Scientifiques de l'École Normale Supérieure, 4e sér., 38 (2005), 427-469. 		pdf
Transversals of Additive Latin Squares, (with Gyula Károlyi, Oriol Serra, and Balázs Szegedy),
Israel Journal of Mathematics, 126 (2001), 17-28. 		pdf
A Presentation for the Unipotent Group over Rings with Identity, (with Daniel Biss),
Journal of Algebra, 237 (2001), no. 2, 691-707. 		pdf
On the Size of Minimum Super Arrovian Domains,
SIAM Journal of Discrete Mathematics, 12 (1999), no. 4, 524-534. 		pdf



 
Refereed Conference Proceedings

The p-adic Upper Half Plane, (with Jeremy Teitelbaum),
p-adic Geometry: Lectures from the 2007 Arizona Winter School, ed. David Savitt, Dinesh Thakur.
University Lecture Series 45. American Mathematical Society, Providence, RI, 2008. 		pdf
Stark-Heegner Points and Special Values of L-series, (with Massimo Bertolini and Henri Darmon),
L-Functions and Galois Representations, ed. David Burns, Kevin Buzzard, Jan Nekovář.
London Mathematical Society Lecture Note Series 320. Cambridge University Press, Cambridge, 2007. 		pdf
Heegner Points and Sylvester's Conjecture, (with John Voight),
Proceedings of a 2006 Clay Summer School on Arithmetic Geometry, to appear. 		pdf
Unités Elliptiques, Corps Quadratiques Réels, et une Formule Limite de Kronecker, (avec Henri Darmon),
Proceedings de la Troisième Conférence Internationale de Théorie des Nombres Quebec-Maroc, Mai 2003, Casablanca-Marrakech.
Annales des sciences mathématiques du Québec, 28 (2005), no. 1-2, 77-88. 		pdf



 
Theses

Gross-Stark Units, Stark-Heegner Points, and Class Fields of Real Quadratic Fields,
PhD. Thesis, University of California-Berkeley, May 2004. 		pdf
Stark's Conjectures,
Senior honors thesis, Harvard University, April 1999. 		pdf


 
In 2008, I organized a conference with Frank Calegari, Bjorn Poonen, and Richard Taylor on Modular Forms and Arithmetic at UC-Berkeley and MSRI (June 28-Jul 2, 2008). During the conference we honored Ken Ribet on his 60th birthday.

Here are the slides from my talk at the conference.

Here is the senior thesis of Kaloyan Slavov, which provides computational evidence for the conjecture stated in my paper on Shintani zeta functions above.

Here are my slides from Banff on this topic.