Ken Ribet

Ken Ribet
File:Kenneth Alan Ribet.jpg Kenneth A. Ribet in 2013
Born	(1948-06-28) 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 (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.

Early life and family

Kenneth Ribet was born to parents David Ribet and Pearl Ribet on June 28, 1948.

Education

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.

Contributions

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.

Awards and honors

In 1998, he received an honorary doctorate from Brown University. He was elected to the American Academy of Arts and Sciences in 1997 and the National Academy of Sciences in 2000.

He received the Fermat Prize in 1989 jointly with Abbas Bahri.

In 2012, he became a fellow of the American Mathematical Society.

External links

• Professor Ribet's webpage