Dr. Vijayakumar Murty

Kumar Murty is a mathematician of exceptional range. He has made important contributions of analytic number theory and albebraic geometry. For instance, he proved the Hodge Conjecture for a class of abelian varieties and, with Ramakrishnan, established the Tate Conjecture for certain Hilbert modular surfaces. Further, in joint work with Balasubramanian he obtained striking new results on the non-vanishing of Dirichlet L-functions. In addition, with his brother, Ram Murty, he proved a result on L-functions which, together with the work of Kolyvagin, gave an inportant step towards the proof of the Birch-Swinnerton-Dyer conjecture in the theory of elliptic curves.