- 1964 Phi Beta Kappa (junior year)
- 1965 Woodrow Wilson Fellow
- 1965-69 NSF Graduate Fellow
- 1984 AMS Invited Address, Louisville, January
- 1984-85 John S. Guggenheim Memorial Foundation Fellow
- 1987 Albert S. Raubenheimer Distinguished Faculty Award, Division of Natural Sciences and
- Mathematics, University of Southern California.
- 1992 CBMS Principal Lecturer, De Paul University, Chicago
- 1995 Invited Address, joint meeting of the AMS and the Israel Math Union, Jerusalem
- 2005 AMS Invited Address, Bowling Green, Kentucky, March
- 2009 Plenary Lecture, Canadian Math Society Summer Meeting, Newfoundland
- 2011 Noether Lecturer, AMS Joint Math Meetings, New Orleans
- 2012 Selected as a Fellow of the American Math Society
- 2012 Fellow of the American Association for the Advancement of Science