Samit Dasgupta

Associate Professor
Department of Mathematics
University of California, Santa Cruz

Office: McHenry 4128
E-mail: sdasgup2 (at) ucsc (dot) edu

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

Course Webpages

Math 134, Introduction to Cryptography
Math 202, Graduate Algebra III

UCSC Algebra and Number Theory Seminar

Seminar Calendar

Bay Area Algebraic Number Theory and Arithmetic Geometry Day

Day 12, April 9, 2016, Berkeley
Day 11, December 5, 2015, Santa Cruz
Day 10, February 21, 2015, Stanford
Day 9, November 15, 2014, Berkeley
Day 8, April 26, 2014, Stanford
Day 7, December 7, 2013, Santa Cruz
Day 6, April 6, 2013, Berkeley
Day 5, November 10, 2012, Santa Cruz
Day 4, March 3, 2012, Stanford
Day 3, October 22, 2011, Santa Cruz
Day 2, April 2, 2011, Berkeley
Day 1, November 6, 2010, Santa Cruz


 
Journal Articles

On the Gross-Stark Conjecture, (with Mahesh Kakde and Kevin Ventullo),
preprint.
pdf
Factorization of p-adic Rankin L-series,
Inventiones Mathematicae, to appear.
pdf
Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units, (with Michael Spiess),
submitted.
pdf
Integral Eisenstein cocycles on GL_n, II: Shintani's Method, (with Pierre Charollois and Matthew Greenberg),
Commentarii Mathematici Helvetici, 90 (2015), no. 2, 435-477.
pdf
The p-adic L-functions of Evil Eisenstein Series, (with Joel Bellaiche),
Compositio Mathematica, 151 (2015), no. 6, 999-1040.
pdf
Integral Eisenstein cocycles on GL_n, I: Sczech's cocycle and p-adic L-functions of totally real fields, (with Pierre Charollois),
Cambridge Journal of Mathematics, 2 (2014), no. 1, 49-90.
pdf
A Conjectural Product formula for Brumer-Stark units over Real Quadratic Fields,
Journal of Number Theory, 133 (2013), no. 3, 915-925 (volume in memory of David Hayes).
pdf
L-Invariants and Shimura Curves, (with Matthew Greenberg),
Algebra and Number Theory, 6 (2012), no. 3, 455-485.
pdf
Hilbert Modular Forms and the Gross-Stark Conjecture, (with Henri Darmon and Robert Pollack),
Annals of Mathematics, 174 (2011), no. 1, 439-484.
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
Computations of Elliptic Units for Real Quadratic Fields,
Canadian Journal of Mathematics, 59 (2007), 553-574.
pdf
Elliptic Units for Real Quadratic Fields, (with Henri Darmon),
Annals of Mathematics, 163 (2006), no. 1, 301-345.
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

p-adic L-functions and Euler systems: a tale in two trilogies, (with Massimo Bertolini, Francesc Castella, Henri Darmon, Kartik Prasanna, and Victor Rotger),
submitted to Durham conference Proceedings.
pdf
Heegner Points and Sylvester's Conjecture, (with John Voight),
Arithmetic Geometry, Clay Mathematics Proceedings, 8. American Mathematical Society, Providence, RI, 2009.
pdf
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
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


 

Slides for Talks at Yonsei University

Talk 2: Trivial zeroes of p-adic L-functions
Talk 3: Factorization of p-adic Rankin L-functions

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.

Here are my slides from the UCLA conference on Iwasawa theory about Ribet's method.