List of Publications

1. A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform (with D. McCarthy)
   Submitted for publication, 16 pages. [ PDF | arXiv.org ]

2. Explicit formulas for Drinfeld modules and their periods (with A. El-Guindy)
   Submitted for publication, 20 pages. [ PDF | arXiv.org ]

3. A rapid introduction to Drinfeld modules, t-modules, and t-motives (with W. D. Brownawell)
   Submitted for publication, 23 pages. [ PDF ]

4. Algebraic independence of values of Goss L-functions at s=1 (with B. A. Lutes)
   Journal of Number Theory, in press, 12 pages. [ Journal | arXiv.org ]

5. Algebraic independence of periods and logarithms of Drinfeld modules
   (with C.-Y. Chang and with an appendix by B. Conrad)
   Journal of the American Mathematical Society 25 (2012), 123-150. [ Journal | arXiv.org ]

6. Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
   (with C.-Y. Chang and J. Yu)
   Algebra & Number Theory 5 (2011), 111-129. [ Journal | arXiv.org ]

7. Algebraic relations among periods and logarithms of rank 2 Drinfeld modules (with C.-Y. Chang)
   American Journal of Mathematics 133 (2011), 359-391. [ Journal | arXiv.org ]

8. Geometric Gamma values and zeta values in positive characteristic (with C.-Y. Chang and J. Yu)
   International Mathematics Research Notices 2010 (2010), 1432-1455. [ Journal | arXiv.org ]

9. Algebraic independence of arithmetic gamma values and Carlitz zeta values (with C.-Y. Chang, D. Thakur, and J. Yu)
   Advances in Mathematics 223 (2010), 1137-1154. [ Journal | arXiv.org ]

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

11. 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 ]

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

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

14. 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 ]

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

16. 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 ]

17. 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.

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

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

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

21. 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.

22. 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 ]

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

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Last modified on May 10, 2012