Matt PapanikolasAssociate ProfessorDepartment of Mathematics Texas A&M University College Station, TX 77843-3368
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Schedule
| Fall 2007 | ||
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| Teaching: | Math 308: Differential Equations, MWF 11:30-12:20 | |
| Math 151: Engineering Mathematics I, MWF 1:50-2:40 | ||
| Spring 2008 | ||
| Teaching: | Math 627: Theory of Numbers, MWF 3:00-3:50 | |
| Office Hours: | Mon. & Fri. 12:30-1:30 | |
Texas A&M Number Theory Group
Texas A&M Number Theory Seminar
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Wednesdays, 1:45-2:45, Milner 317
ArithmeTexas, April 2-3, 2005
Education
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Ph.D. in Mathematics,
Brown University, 1998.
A.B. in Mathematics, Amherst College, 1992.
Research Interests
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Number theory and arithmetic geometry. I'm interested in elliptic
curves and Drinfeld modules, and in particular I work on canonical
heights, special values of analytic functions, L-series and
modular forms.
Curriculum Vitae
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My research is currently sponsored by a grant from the National Science
Foundation.
Teaching Information
Selected Publications and Preprints (Complete List)
- Algebraic
independence of arithmetic gamma values and Carlitz zeta values
(with C.-Y. Chang, D. Thakur, and J. Yu)
Submitted for publication, 14 pages. [ PDF | Arxiv.org ] - Algebraic
independence of Carlitz zeta values with varying
constant fields (with C.-Y. Chang and J. Yu)
Submitted for publication, 26 pages. [ PDF | Arxiv.org ] - Tannakian
duality for Anderson-Drinfeld motives and algebraic
independence of Carlitz logarithms
Inventiones Mathematicae 171 (2008), 123-174. [ Journal | Arxiv.org ] - On the torsion of
Jacobians of principal modular curves of level 3^n (with C.
Rasmussen)
Archiv der Mathematik (Basel) 88 (2007), 19-28. [ Journal | Arxiv.org ] - A formula and a
congruence for Ramanujan's tau-function
Proceedings of the American Mathematical Society 134 (2006), 333-341. [ Journal ] - Extensions of
abelian varieties defined over a number field (with
N. Ramachandran)
Journal of Number Theory 112 (2005), 386-400. [ Journal | Arxiv.org ] - Combinatorics of traces of Hecke operators (with
S. Frechette and K. Ono)
Proceedings of the National Academy of Sciences, USA, 101 (2004), 17016-17020. [ Journal ] - Gaussian
hypergeometric functions and traces of Hecke
operators (with S. Frechette and K. Ono)
International Mathematics Research Notices, 2004, no. 60, 3233-3262. [ Journal ] - Determination
of the algebraic relations among special Gamma-values in positive
characteristic
(with G. W. Anderson and W. D. Brownawell)
Annals of Mathematics 160 (2004), 237-313. [ Journal | Arxiv.org ] - Higher
Weierstrass points on X_0(p) (with S. Ahlgren)
Transactions of the American Mathematical Society 355 (2003), 1521-1535. [ Journal ] - A Weil-Barsotti
formula for Drinfeld modules (with N. Ramachandran)
Journal of Number Theory 98 (2003), 407-431. [ Journal | Arxiv.org ] - Linear
independence of Gamma values in positive characteristic (with
W. D. Brownawell)
Journal für die reine und angewandte Mathematik 549 (2002), 91-148. [ Journal | Arxiv.org ] - Canonical
heights on elliptic curves in characteristic p
Compositio Mathematica 122 (2000), 299-313. [ Journal | Arxiv.org ]
Upcoming Schedule
- Southern California Number Theory Day, May 31, 2008.
- University of Caen, June 19-21, 2008.
- Univeristy of Münster, June 24, 2008.
- University of Essen, June 26, 2008.
- Tenth Meeting of the Canadian Number Theory Association, University of Waterloo, July 13-18, 2008.
- Multiple Dirichlet Series and Applications to Automorphic Forms, University of Edinburgh, August 4-8, 2008.
- Banff International Research Station, September 27-October 2, 2009.
Personal Information
I grew up in Tucson, Arizona.
My wife is a painter - you can view some of her work here.
Interesting Places
Mathematical
- Number Theory at Texas A&M
- American Mathematical Society
- arXiv.org Math e-Print Archive
- Number Theory Web
- Lots of math links
General
Last modified on May 21, 2008