Shou-Wu Zhang

Shou-Wu Zhang is currently tenured Professor of Mathematics at Princeton University. His main contributions to number theory and arithmetical algebraic geometry are his theory of positive line bundles in Arakelov theory which he used to prove the Bogomolov conjecture (along with E. Ullmo), and also his generalization of the Gross-Zagier theorem from elliptic curves to abelian varieties of GL(2) type over totally real fields. His work on the heights of special points on modular curves has led to great progress on the conjecture of Birch and Swinnerton-Dyer, which is one of the Clay Foundation's seven Millennium Prize problems, considered among the most important in mathematics.