| B.A. Swarthmore College, 1966 |
| Ph.D. Harvard University, 1970 |
| 2007- | Hermann Weyl Professor, Institute for Advanced Study | |
| 1994- | Visiting Lecturer, Princeton University | |
| 1994- | Professor, Institute for Advanced Study | |
| 1987-94 | Professor, Massachusetts Institute of Technology | |
| 1985-87 | Florence Pierce Grant University Professor, Brown University | |
| 1977-87 | Professor, Brown University | |
| 1974-77 | Associate Professor, Brown University | |
| 1972-74 | Assistant Professor, Brown University | |
| 1970-72 | J. D. Tamarkin Instructor, Brown University |
| Fall 2000 | Università di Roma "La Sapienza" | |
| Spring 1994 | Universiteit Utrecht (Donders Chair) | |
| Spring 1992 | Max-Planck-Institut für Mathematik, Bonn | |
| Fall 1991 | University of Chicago | |
| Spring 1986 | Institute des Hautes Etudes Scientifiques, Büres-sur-Yvette, France | |
| Fall 1985 | Institute for Advanced Study, Princeton | |
| Spring 1985 | CNR, Rome, Italy | |
| 1980-81 | Institut des Hautes Etudes Scientifiques, Büres-sur-Yvette, France | |
| Spring 1980 | Steklov Institute of Mathematics, Moscow, USSR (National Academy of Sciences Exchange) | |
| 1976-77 | Université de Paris VII | |
| 1974-75 | Institut des Hautes Etudes Scientifiques, Büres-sur-Yvette, France |
| Paul Dippolito, Mark Goresky, David Damiano, Tom DiLio, Kevin Ryan, Allen Shepard, Kari Vilonen, Mark McConnell, Masaki Hanamura, Wolfram Gerdes, David Yavin, Yi Hu, Richard Scott, Eric Babson, Paul Gunnells, Laura Anderson, Tom Braden, Mikhail Grinberg, Francis Fung, Jared Anderson, David Nadler, Brent Doran, Julianna Tymoczko, Aravind Asok, David Truemann |
| Current: Zhiwei Yun, Menachem Lazar |
| Recipient, National Academy of Sciences Award in Mathematics, 1992 |
| Docteur Honoris Causa, Université de Lille, 1993 |
| Honorary Doctor of Science, Brown University, 1994 |
| AMS Steele Prize, 2002 |
| Colloquium Lecturer, American Mathematical Society annual meeting, 1991 |
| Progress in Mathematics Lecturer, American Mathematical Society Mathfest, 1995 |
| Member, American Academy of Arts and Sciences |
| Member, National Academy of Sciences |
| Member, American Philosophical Society |