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 2008
	Teaching:	Math 662: Algebraic Number Theory, MWF 10:20-11:10
		Math 151: Engineering Mathematics I, MWF 11:30-12:20

Spring 2009
	Teaching:	Math 470: Communications and Cryptography
	Office Hours:	Tues. 11-12, Thurs. 1-2; also by appointment

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)

Geometric Gamma values and zeta values in positive characteristic (with C.-Y. Chang and J. Yu)
Submitted for publication, 15 pages. [ PDF | Arxiv.org ]
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 ]
Algebraic relations among periods and logarithms of rank 2 Drinfeld modules (with C.-Y. Chang)
Submitted 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)
Submitted for publication, 14 pages. [ PDF ]
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

Clemson University, April 16-17, 2009.
Southeast Regional Meeting on Numbers, University of North Carolina-Greensboro, April 18-19, 2009.
Boston College-MIT Number Theory Seminar, April 28, 2009.
Modular Forms and Function Field Arithmetic: A Conference in Honor of Jing Yu's 60th Birthday, National Taiwan University, Taipei, May 19-22, 2009.
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.

University of Arizona, November-December, 2009.
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 May 23, 2009