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Office: Science Center 525
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I recently organized a conference with Frank Calegari, Bjorn Poonen, and Richard Taylor on
Modular Forms
and Arithmetic at UC-Berkeley and MSRI from 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 Shintani paper below.
Here are my
slides from Banff on this topic.
Journal Articles
| Shintani zeta-functions and Gross-Stark units for totally real fields,
Duke Mathematical Journal, to appear. |
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| Elliptic units for real quadratic fields, (with Henri Darmon), Annals of Mathematics, 163 (2006), 301-345. |
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| Computations of elliptic units for real quadratic fields,
Canadian Journal of Mathematics, 59 (2007), 553-574. |
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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. |
| The p-adic upper half plane, (with Jeremy Teitelbaum), Notes from a course in the 2007 Arizona Winter School, to appear as a chapter in a book published by the AMS. |
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| Stark-Heegner points and special values of L-series, (with Massimo Bertolini and Henri Darmon), to appear in L-Functions and Galois Representations, ed. David Burns, Kevin Buzzard, Jan Nekovář. London Mathematical Society Lecture Note Series 320. |
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| Heegner points and Sylvester's conjecture, (with John Voight), Proceedings of a 2006 Clay Summer School on Arithmetic Geometry, to appear. |
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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. |
| 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. |