Ken Ribet
| Ken Ribet | |
|---|---|
Kenneth A. Ribet in 2013
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| Born | June 28, 1948 |
| Nationality | American |
| Fields | Mathematics |
| Institutions | University of California, Berkeley |
| Alma mater |
Brown University Harvard University |
| Doctoral advisor | John Tate |
| Doctoral students | Bjorn Poonen |
| Known for | Ribet's Theorem |
| Notable awards | Fermat Prize (1989) |
Kenneth Alan "Ken" Ribet (/ˈrɪbɪt/; born June 28, 1948) is an American mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include algebraic number theory and algebraic geometry.
Kenneth Ribet was born to parents David Ribet and Pearl Ribet on June 28, 1948. He is married to mathematician/statistician Lisa Goldberg.
As a student at Far Rockaway High School, Ribet was on a competitive mathematics team, but his first field of study was chemistry. He earned his bachelor's degree and master's degree from Brown University in 1969, and his Ph.D. from Harvard University in 1973.
Ribet is credited with paving the way towards Andrew Wiles's proof of Fermat's last theorem. Ribet proved that the epsilon conjecture formulated by Jean-Pierre Serre was indeed true, and thereby proved that Fermat's Last Theorem would follow from the Taniyama–Shimura conjecture. Crucially it also followed that the full conjecture was not needed, but a special case, that of semistable elliptic curves, sufficed. An earlier theorem of Ribet's, the Herbrand–Ribet theorem, the converse to Herbrand's theorem on the divisibility properties of Bernoulli numbers, is also related to Fermat's Last Theorem.
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