Vinayak Vatsal

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Vinayak Vatsal (born December 28, 1969 ) is a Canadian mathematician who studies number theory and arithmetic geometry.

Vatsal studied mathematics at Stanford University with a bachelor's degree in 1992 and received his doctorate in 1997 from Princeton University under Andrew Wiles ( Iwasawa Theory, modular forms and art representations ). He was a post-doctoral student at the University of Toronto . From 1999 he was at the University of British Columbia , where he is a professor.

He made important contributions to the Iwasawa theory of elliptic curves with theorems about the non-vanishing p-adic L-functions, where he introduced methods of ergodic theory (theorems of Marina Ratner ) in the field.

In 2007 he received the Coxeter James Prize , in 2004 the André Aisenstadt Prize and in 2006 the Ribenboim Prize . From 2002 to 2004 he was a Sloan Fellow . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Special values ​​of L-functions modulo p ).

Works

  • Uniform distribution of Heegner Points , Inventiones Mathematicae, Volume 148, 2002, pp. 1-48 (proof of a conjecture by Barry Mazur )
  • with Ralph Greenberg Iwasawa Invariants of Elliptic Curves , Inventiones Mathematicae, Volume 142, 2000, pp. 17-63
  • Special values ​​of anticyclotomic L-functions , Duke Math. J., Volume 116, 2003, pp. 219-261
  • with C. Cornut Nontriviality of Rankin-Selberg L-functions and CM points , in Burns, Kevin Buzzard, Nekovar (editors) L-functions and Galois Representations , Cambridge University Press 2007, pp. 121-186
  • with C. Cornut CM points and quaternion algebras , Documenta Mathematica, Volume 10, 2005

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Represented in his lecture at the ICM in Madrid 2006
  3. ↑ Templier Introduction to Vatsal's theorem on non-vanishing L-functions , Clay Math. Summer School 2007, pdf ( Memento of the original from June 13, 2010 in the Internet Archive ) Info: The archive link was inserted automatically and not yet checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.claymath.org
personal data
SURNAME Vatsal, Vinayak
BRIEF DESCRIPTION Canadian mathematician
DATE OF BIRTH December 28, 1969