| 1911 | Born October 26 at Kashing, China |
| 1930 | B.Sc., Nankai University, Tientsin, China |
| 1934 | M.Sc., Tsinghua University, Peiping, China |
| 1936 | D.Sc., University of Hamburg, Germany |
| 1937–43 | Professor of Mathematics, Tsinghua University, China |
| 1943–46 | Member, Institute for Advanced Study, Princeton, New Jersey |
| 1946–49 | Professor of Mathematics and Acting Director, Institute of Mathematics, Academia Sinica, Nanking, China |
| 1949–60 | Professor of Mathematics, University of Chicago |
| 1960–79 | Professor of Mathematics, University of California, Berkeley |
| 1979 | Professor Emeritus, University of California, Berkeley |
| 1952 | Visiting Professor, Harvard University |
| 1953 | Visiting Professor, Eidgenossische Technische Hochschule, Zurich |
| 1957 | Visiting Professor, Massachusetts Institute of Technology |
| 1964 | Member, Institute for Advanced Study, Princeton |
| 1966 | Visiting Professor, University of California, Los Angeles |
| 1967 Apr | Member, Institut des Hautes Etudes Scientifiques, Paris |
| 1970 Aug | Visiting Professor, IMPA, Rio de Janeiro, Brasil |
| 1972 | Visiting Professor, University of Warwick, Coventry, England |
| 1973 | Visiting Professor, Rockefeller University, New York |
Honors
| 1948 | Member, Academia Sinica, Bejing, China |
| 1950 | Honorary Member, Indian Mathematical Society |
| 1954–55 | Guggenheim Fellow |
| 1960 | Colloquium Lecturer, American Mathematical Society |
| 1961 | Member, National Academy of Science |
| 1962–64 | Vice President, American Mathematical Society |
| 1963 | Fellow, American Academy of Arts and Sciences |
| 1963–64 | Miller Research Professor, University of California, Berkeley |
| 1966–67 | Guggenheim Fellow |
| 1969 | LL.D. (Hon), The Chinese University of Hong Kong, May |
| 1969 | D.Sc. (Hon), University of Chicago, August 29 |
| 1970 | Achievement Award, Association of Chinese Engineers and Scientist in Southern California, February 28, 1970 |
| 1971 | Honorary D.Sc., University of Hamburg, October |
| 1971 | Corresponding Member, Brazilian Academy of Sciences |
| 1976 Oct | Awarded National Medal of Science by President Gerald Ford |
| 1978 | Faculty Research Lecture, April 27, UC Berkeley |
| 1980 | Offered honorary Doctor of Science degree by Notre Dame University |
| 1982 | Recipient of the Humboldt Award, presented by the government of West Germany to an outstanding senior U.S. scientist |
| 1983 | Steele Prize of the American Mathematical Society, August 10, 1983 |
| 1985 | Foreign member, Royal Society of London |
| 1987 | Honorary Life Member, New York Academy of Science |
