Barry Mazur
| Barry Charles Mazur | |
|---|---|
Barry Mazur in 1992
|
|
| Born |
December 19, 1937 New York City, New York |
| Nationality | American |
| Fields | Mathematics |
| Institutions | Harvard University |
| Alma mater | Princeton University |
| Doctoral advisor |
Ralph Fox R. H. Bing |
| Doctoral students |
Nigel Boston Noam Elkies Cathy O'Neil Jordan Ellenberg Minhyong Kim David Goss Michael Harris Daniel Kane Michael McQuillan Victor S. Miller Paul Vojta Yu-Ru Liu |
| Known for |
diophantine geometry generalized Schoenflies conjecture Mazur swindle Mazur's torsion theorem |
| Notable awards |
National Medal of Science (2011) Chauvenet Prize (1994) Cole Prize (1982) Veblen Prize (1966) |
Barry Charles Mazur (/ˈmeɪzʊr/; born December 19, 1937) is an American mathematician and a Gerhard Gade University Professor at Harvard University.
Born in New York City, Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a then-present ROTC requirement. Regardless, he was accepted for graduate school and received his Ph.D. from Princeton University in 1959, becoming a Junior Fellow at Harvard from 1961 to 1964. He is the Gerhard Gade University Professor and a Senior Fellow at Harvard.
His early work was in geometric topology. In an elementary fashion, he proved the generalized Schoenflies conjecture (his complete proof required an additional result by Marston Morse), around the same time as Morton Brown. Both Brown and Mazur received the Veblen Prize for this achievement. He also discovered the Mazur manifold and the Mazur swindle.
His observations in the 1960s on analogies between primes and knots were taken up by others in the 1990s giving rise to the field of arithmetic topology.
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