Matthew A. Papanikolas

Department of Mathematics
Texas A&M University
College Station, TX 77843-3368
(979) 845-1615 (office)
(979) 845-6028 (fax)

e-mail: map@math.tamu.edu


Citizenship: USA
Place of birth: Tucson, Arizona

Education


Employment


Research Interests


Grants Awarded


Publications and Preprints

[1]   Periods of Drinfeld modules of arbitrary rank and algebraic independence (with C.-Y. Chang)
in preparation.
[2]   Geometric Gamma values and zeta values in positive characteristic (with C.-Y. Chang and J. Yu)
submitted for publication, 15 pages.
[3]   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.
[4]   Algebraic relations among periods and logarithms of rank 2 Drinfeld modules (with C.-Y. Chang)
submitted for publication, 25 pages.
[5]   Algebraic independence of arithmetic gamma values and Carlitz zeta values (with C.-Y. Chang, D. Thakur, and J. Yu)
submitted for publication, 14 pages.
[6]   Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
Inventiones Mathematicae 171 (2008), 123-174.
[7]   On the torsion of Jacobians of principal modular curves of level 3^n (with C. Rasmussen)
Archiv der Mathematik (Basel) 88 (2007), 19-28.
[8]   A formula and a congruence for Ramanujan's tau-function
Proceedings of the American Mathematical Society, 134 (2006), 333-341.
[9]   Extensions of abelian varieties defined over a number field (with N. Ramachandran)
Journal of Number Theory 112 (2005), 386-400.
[10]   Combinatorics of traces of Hecke operators (with S. Frechette and K. Ono)
Proceedings of the National Academy of Sciences, USA, 101 (2004), 17016-17020.
[11]   Gaussian hypergeometric functions and traces of Hecke operators (with S. Frechette and K. Ono)
International Mathematics Research Notices, 2004, no. 60, 3233-3262.
[12]   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.
[13]   p-adic properties of values of the modular j-function (with K. Ono)
Galois Theory and Modular Forms, 357-366, Dev. Math., 11, Kluwer, 2004.
[14]   Higher Weierstrass points on X_0(p) (with S. Ahlgren)
Transactions of the American Mathematical Society 355 (2003), 1521-1535.
[15]   A Weil-Barsotti formula for Drinfeld modules (with N. Ramachandran)
Journal of Number Theory 98 (2003), 407-431.
[16]   Universal norms on abelian varieties over global function fields
Journal of Number Theory 94 (2002), 326-342.
[17]   Quadratic twists of modular forms and elliptic curves (with K. Ono)
Number Theory for the Millennium III (Urbana, IL, 2000), 73-85, A. K. Peters, 2002.
[18]   Linear independence of Gamma values in positive characteristic (with W. D. Brownawell)
Journal für die reine und angewandte Mathematik 549 (2002), 91-148.
[19]   Canonical heights on elliptic curves in characteristic p
Compositio Mathematica 122 (2000), 299-313.

Graduate Students Supervised


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Last modified on May 18, 2009