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
	Office Hours:	Mon. 3-5, Fri. 2-3; 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)

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 ]
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 ]

Graduate Students

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

Upcoming Schedule

Arizona Winter School 2009, March 14-18, 2009.
Boston College, April 2009.
Conference in Honor of Jing Yu's 60th Birthday, Taipei, Taiwan, May 2009.
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

General

Last modified on July 25, 2008