List of Publications

1. Algebraic independence of Carlitz zeta values with varying constant fields (with C.-Y. Chang and J. Yu)
   submitted for publication, 26 pages. [ PDF | Arxig.org ]

2. Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
   Inventiones Mathematicae 171 (2008), 123-174. [ Journal | Arxiv.org ]

3. 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 ]

4. A formula and a congruence for Ramanujan's tau-function
   Proceedings of the American Mathematical Society 134 (2006), 333-341. [ Journal ]

5. Extensions of abelian varieties defined over a number field (with N. Ramachandran)
   Journal of Number Theory 112 (2005), 386-400. [ Journal | Arxiv.org ]

6. 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 ]

7. Gaussian hypergeometric functions and traces of Hecke operators (with S. Frechette and K. Ono)
   International Mathematics Research Notices, 2004, no. 60, 3233-3262. [ Journal ]

8. 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 ]

9. 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.

10. Higher Weierstrass points on X_0(p) (with S. Ahlgren)
    Transactions of the American Mathematical Society 355 (2003), 1521-1535. [ Journal ]

11. A Weil-Barsotti formula for Drinfeld modules (with N. Ramachandran)
    Journal of Number Theory 98 (2003), 407-431. [ Journal | Arxiv.org ]

12. Universal norms on abelian varieties over global function fields,
    Journal of Number Theory 94 (2002), 326-342. [ Journal ]

13. 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.

14. 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 ]

15. Canonical heights on elliptic curves in characteristic p
    Compositio Mathematica 122 (2000), 299-313. [ Journal | Arxiv.org ]

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Last modified on March 27, 2008