LONG
Henri Darmon is one of the top mathematicians of his generation in the world working on the arithmetic of elliptic curves. He has made striking and highly original contributions to the Iwasawa theory of elliptic curves in relation to the conjecture of Birch and Swinnerton-Dyer. In particular, he has done deep work on the "main conjectures" relating special values of L-functions of elliptic curves to suitable lwasawa modules arising from descent theory, and has proved a "main conjecture" in the anti-cyclotomic case. His work uses deep and sophisticated ideas from p-adic arithmetic geometry. Henri Darmon's outstanding contributions to research have been recognized by numerous prizes and awards, including the E.W.R. Steacie Memorial Fellowship, the Coxeter-James Prize, the Aisenstadt Prize and the Ribenboim Prize.

SHORT
Henri Darmon, mathematician working on the arithmetic of elliptic curves, has made striking and highly original contributions to the Iwasawa theory of elliptic curves in relation to the conjecture of Birch and Swinnerton-Dyer. He has researched the "main conjectures" relating special values of L-functions of elliptic curves to suitable Iwasawa modules arising from descent theory.