Matt Papanikolas

Associate Professor

Department of Mathematics
Texas A&M University
College Station, TX 77843-3368

Office: Milner 321

Phone:
Dept:
Fax: (979) 845-1615
(979) 845-7554
(979) 845-6028

Email: map@math.tamu.edu

Schedule

Fall 2009 On Leave
Spring 2010
	Teaching:	To be announced.

Texas A&M Number Theory Group

Texas A&M Number Theory Seminar

Wednesdays, 1:45-2:45, Milner 317

Southwest Center for Arithmetic Geometry

Arizona Winter School

Education

Research Interests

Curriculum Vitae

National Science Foundation

Teaching Information

Selected Publications and Preprints (Complete List)

Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
(with C.-Y. Chang and J. Yu)
Submitted for publication, 14 pages. [ PDF | Arxiv.org ]
Geometric Gamma values and zeta values in positive characteristic (with C.-Y. Chang and J. Yu)
Interntaional Mathematics Research Notices, accepted for publication, 15 pages. [ PDF | Arxiv.org ]
Algebraic relations among periods and logarithms of rank 2 Drinfeld modules (with C.-Y. Chang)
American Journal of Mathematics, accepted for publication, 25 pages. [ PDF | Arxiv.org ]
Algebraic independence of arithmetic gamma values and Carlitz zeta values (with C.-Y. Chang, D. Thakur, and J. Yu)
Advances in Mathematics, accepted for publication, 15 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 ]

Graduate Students

Brad Lutes, Ph.D. student, Texas A&M University
Valentina Vega, Ph.D. 2009, Texas A&M University
"Hypergeometric functions over finite fields and their relations to algebraic curves"
Jenny Fuselier, Ph.D. 2007, Texas A&M University
"Hypergeometric functions over finite fields and relations to modular forms and elliptic curves"

Upcoming Schedule

National Center for Theoretical Sciences, Hsinchu, Taiwan, August-September 2009.
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects, Banff International Research Station, September 27-October 2, 2009.

AMS Special Session on Function Fields and their Applications, Penn State, October 24-25, 2009.

Penn State Algebra and Number Theory Seminar, October 29, 2009.
University of Arizona, November-December, 2009.
AMS Special Session on Arithmetic of Function Fields, San Francisco, January 13-16, 2010.
Arizona Winter School, University of Arizona, March 13-17, 2010.
Arithmetic Geometry for Function Fields of Positive Characteristic, Centre de Recerca Matemàtica, Barcelona, April 2010.

Personal Information

I grew up in Tucson, Arizona.

My wife is a painter - you can view some of her work here.

Interesting Places

Mathematical

General

Last modified on October 4, 2009