BA in Chemistry, Princeton

BA in Mathematics, Cambridge

PhD in Physics, Princeton

Dannie Heineman Prize in Mathematical Physics 1980

New York Academy of Science Prize in Mathematics and Physics 1979

President, American Mathematical Society

Member, Executive Board, Council of Scientific Society Presidents

Member, Scientific Board, Santa Fe Institute

Trustee, International Mathematical Olympiad 2001

Member, President's Commission for the National Medal of Science

Member, Visiting Committe, Princeton University Department of Mathematics

Chief Editor,

Assistant Editor,

Chair, Harvard Department of Mathematics, 1987-1990

Trustee, Mathematical Sciences Research Institute, 1991-1994

President, International Association of Mathematical Physics, 1991-1996

Chair, Mathematics Advocacy Task Force, 1996-1997

Fellow, American Academy of Arts and Sciences

Fellow, American Association for the Advancement of Science

Fellow, American Physical Society

Member, American Mathematical Society

Member, Association for Women in Mathematics

Member, International Association for Mathematical Physics