1. In his dissertation, entitled "The conjectures of Birch and Swinnerton-Dyer for constant abelian varieties over function fields," he proved the conjecture of Birch and Swinnerton–Dyer for constant abelian varieties over function fields in characteristic not equal to zero.

In seiner Dissertation mit dem Titel The conjectures of Birch and Swinnerton-Dyer for constant abelian varieties over function fields bewies er die Vermutung von Birch und Swinnerton-Dyer für konstante abelsche Varietäten über Funktionenkörpern bei Charakteristik ungleich null (Inventiones Mathematicae Bd.