Faculty

Dinesh Thakur

Professor of Mathematics
PhD, Harvard University, 1987

1013 Hylan Hall
(585) 275-7767
dinesh.thakur@rochester.edu

Office Hours: By appointment

Website
Curriculum Vitae

Biography

publicationlist.pdf           abstracts.pdf           updates.pdf

I am serving on the editorial boards of the following journals and look forward to receiving interesting papers for these journals

  • Journal of Number Theory (Pub. by Elsevier)
  • International Journal of Number Theory (Pub. by World Scientific)
  • p-Adic Numbers, Ultrametric Analysis and Applications (Pleiades Pub, Russian Academy of Sciences, distributed by Springer)

Selected Publications

Books

Papers

  • Gauss sums for F_q[t], Invent. Math 94 (1988) no. 1, 105-112. (pdf)
  • Tensor powers of the Carlitz module and Zeta values (Joint with Greg Anderson), Ann. of Math (2) 132 (1990), no. 1, 159-191. (pdf)
  • Gamma functions for function fields and Drinfeld modules, Ann. of Math (2) 134 (1991), no.1, 25-64. (pdf)
  • Shtukas and Jacobi sums, Invent. Math 111 (1993), no.3, 557-570. (pdf)
  • Transcendence of Gamma values for F_q[t], Annals of Math 144 (1996), 60-63. (pdf)
  • Computational classification of numbers and algebraic properties (Joint with Robert Beals), Internat. Math. Res. Notices 15 (1998), 799-818. (pdf)
  • Diophantine approximation and deformation (Joint with M. Kim and J. F. Voloch), Bull. Soc. Math. France 128 (2000), 585-598. (pdf)
  • Relations between multizeta values for F_q[T], International Math Research Notices IMRN (2009), no. 12, 2318-2346. (pdf)
  • Transcendence in positive characteristic and special values of hypergeometric functions (Joint with Zhi-Ying Wen, Jia-Yan Yao and Liang Zhao), (Crelle's Journal) J. Reine Angew Math 657 (2011), 135-171. (Final accepted version) (pdf)
  • Differential characterization of Wilson primes for F_q[t] Algebra and Number Theory, Vol. 7 No. 8 (2013), 1841-1848. (pdf)