Nonassociative algebra, group theory, restricted Burnside problem, Jordan algebras,
Glennie's identity, Engel identity for Lie algebras implies nilpotence

1990 Professor at the University of Wisconsin-Madison
1994~1995 Professor at the University of Chicago and Yale University
2002~present Professor at the University of California, San Diego

1994 Fields Medal at the International Congress of Mathematicians in Zürich