Vinayak Vatsal

Vinayak Vatsal is a Canadian mathematician working in number theory and arithmetic geometry.

Education[]

Vatsal received his B.Sc. degree in 1992 from Stanford University and a Ph.D. (thesis title: Iwasawa Theory, modular forms and Artin representations) in 1997 from Princeton University under the supervision of Andrew Wiles who had just completed his proof of Fermat's Last Theorem.^[1][2] He then became a post-doctoral fellow at the University of Toronto.^[1]

Career and research[]

Vatsal joined the faculty at the University of British Columbia in 1999 where he still works today.

Vatsal's contributions include his work on the Iwasawa theory of elliptic curves, a field which he approached using novel ideas from ergodic theory.^[1]

Vatsal has received numerous accolades. He was a Sloan Fellow in 2002–2004 and a recipient of the André Aisenstadt Prize (2004), the Ribenboim Prize (2006) and the Coxeter–James Prize (2007).^[1] In 2008, he was an invited speaker at the 2008 International Congress of Mathematicians in Madrid.^[1]

Selected publications[]

• Uniform distribution of Heegner Points, Inventiones Mathematicae, Vol. 148, 2002, pp. 1–48 (Proof of a conjecture of Barry Mazur)
• with Ralph Greenberg Iwasawa Invariants of Elliptic Curves, Inventiones Mathematicae, vol 142, 2000, pp. 17–63
• Special values of anticyclotomic L-functions, Duke Mathematical Journal, vol. 116, 2003, pp. 219–261
• with C. Cornut Nontriviality of Rankin-Selberg L-functions and CM points, in Burns, Kevin Buzzard, Nekovar (eds), 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

References[]

External links[]

• Vinayak Vatsal Homepage at UBC