| 1930 | Born July 15 at Flint, Michigan |
| 1952 | B.S., University of Michigan |
| 1953 | M.S., University of Michigan |
| 1957 | Ph.D., University of Michigan |
| 1956-68 | Instructor, University of Chicago |
| 1956-68 | Instructor, University of Chicago |
| 1958-60 | Member, Institute for Advanced Study, Princeton |
| 1960-62 | Alfred P. Sloan Research Fellow |
| 1960-61 | Associate Professor of Mathematics, University of California, Berkeley |
| 1961-64 | Professor of Mathematics, Columbia University |
| 1962 | Visiting Professor, College de France, Paris (Spring) |
| 1964-94 | Professor of Mathematics, University of California, Berkeley |
| 1966 | Member, Institute for Advanced Study, Princeton (Fall) |
| 1967-68 | Research Professor, Miller Institute for Basic Research in Science, Berkeley |
| 1969-70 | Visiting Member, Institut des Hautes Etudes Scientifiques (Fall) |
| 1972-73 | Visiting Member, Institut des Hautes Etudes Scientifiques (Fall) |
| 1972-73 | Visiting Professor, University of Paris, Orsay (Fall) |
| 1974 | Visiting Professor, Yale University (Fall) |
| 1976 | Visiting Professor, Instituto de Matematica Pura e Aplicada, Rio de Janeiro |
| 1976 | Visiting Professor, Institut des Hautes Études Scientifiques (May, June) |
| 1976- | Professor without stipend, Department of Economics, University of California, Berkeley |
| 1979-80 | Research Professor, Miller Institute for Basic Research in Science, Berkeley |
| 1987 | Visiting Scientist, IBM Corporation, Yorktown Heights (Fall) |
| 1987 | Visiting Professor, Columbia University (Fall) |
| 1988 | Visiting Professor, Instituto de Matematica Pura e Aplicada, Rio de Janeiro |
| 1994 | Visiting Professor, Instituto de Matematica Pura e Aplicada, Rio de Janeiro |
| 1994- | Professor of Mathematics (and Economics) Emeritus, University of California, Berkeley |
| 1995-2001 | Distinguished University Professor, City University of Hong Kong |
| 2002-2009 | Professor, Toyota Technological Institute at Chicago |
| 2009-present | University Distinguished Professor, City University of Hong Kong |