Samit Dasgupta
Professor of Mathematics
University of California, Santa Cruz





Research

On the Gross-Stark Conjecture, (with Mahesh Kakde and Kevin Ventullo),
submitted.
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Factorization of p-adic Rankin L-series,
Inventiones Mathematicae, 205 (2016), no. 1, 221-268.
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Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units, (with Michael Spiess),
Journal of the European Mathematical Society, to appear.
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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.
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The p-adic L-functions of Evil Eisenstein Series, (with Joel Bellaiche),
Compositio Mathematica, 151 (2015), no. 6, 999-1040.
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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.
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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).
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L-Invariants and Shimura Curves, (with Matthew Greenberg),
Algebra and Number Theory, 6 (2012), no. 3, 455-485.
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Hilbert Modular Forms and the Gross-Stark Conjecture, (with Henri Darmon and Robert Pollack),
Annals of Mathematics, 174 (2011), no. 1, 439-484.
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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.
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Shintani Zeta Functions and Gross-Stark Units for Totally Real Fields,
Duke Mathematical Journal, 143 (2008), no. 2, 225-279.
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Computations of Elliptic Units for Real Quadratic Fields,
Canadian Journal of Mathematics, 59 (2007), 553-574.
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Elliptic Units for Real Quadratic Fields, (with Henri Darmon),
Annals of Mathematics, 163 (2006), no. 1, 301-345.
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Stark-Heegner Points on Modular Jacobians,
Annales Scientifiques de l'École Normale Supérieure, 4e sér., 38 (2005), 427-469.
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Transversals of Additive Latin Squares, (with Gyula Károlyi, Oriol Serra, and Balázs Szegedy),
Israel Journal of Mathematics, 126 (2001), 17-28.
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A Presentation for the Unipotent Group over Rings with Identity, (with Daniel Biss),
Journal of Algebra, 237 (2001), no. 2, 691-707.
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On the Size of Minimum Super Arrovian Domains,
SIAM Journal of Discrete Mathematics, 12 (1999), no. 4, 524-534.
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Refereed Conference Proceedings

The Eisenstein Cocycle and Gross's Tower of Fields Conjecture, (with Michael Spiess),
Annales des sciences mathématiques du Québec, 40 (2016), no. 2, 355-376.
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p-adic L-functions and Euler systems: a tale in two trilogies, (with Massimo Bertolini, Francesc Castella, Henri Darmon, Kartik Prasanna, and Victor Rotger),
Automorphic forms and Galois representations, ed. Fred Diamond, Payman L. Kassaei, Minhyong Kim.
London Mathematical Society Lecture Note Series, 414. Cambridge University Press, Cambridge, 2014.
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Heegner Points and Sylvester's Conjecture, (with John Voight),
Arithmetic Geometry, Clay Mathematics Proceedings, 8. American Mathematical Society, Providence, RI, 2009.
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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.
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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.
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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.
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Theses

Gross-Stark Units, Stark-Heegner Points, and Class Fields of Real Quadratic Fields,
PhD. Thesis, University of California-Berkeley, May 2004.
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Stark's Conjectures,
Senior honors thesis, Harvard University, April 1999.
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Teaching (Fall 2016)

Team member

Math 21

Linear Algebra



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

Contact

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

Office: McHenry 4128
Office Hours (Fall 2016):
Mondays, 3-4
Wednesdays, 2-3
E-mail: sdasgup2 (at) ucsc (dot) edu
Fax Number
(Math Department Main Office):
831-459-3260