Nationality United States Name Karl Rubin | Role Mathematician Books Euler Systems | |
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Institutions Princeton UniversityOhio State UniversityColumbia UniversityStanford UniversityUniversity of California, Irvine Alma mater Princeton UniversityHarvard University Doctoral students Cristian Dumitru Popescu Awards Guggenheim Fellowship for Natural Sciences, US & Canada Similar People Andrew Wiles, Brian Conrad, Cristian Popescu, George II of Great Britain, Urmuz | ||
Modularity of Mod 5 Representations - Karl Rubin
Karl Rubin (born January 27, 1956) is an American mathematician at University of California, Irvine as Thorp Professor of Mathematics. His research interest is in elliptic curves. He was the first mathematician (1986) to show that some elliptic curves over the rationals have finite Tate-Shafarevich groups. It is widely believed that these groups are always finite.
Rubin graduated from Princeton University in 1976, and obtained his Ph.D. from Harvard in 1981. His thesis advisor was Andrew Wiles. He was a Putnam Fellow in 1974, and a Sloan Research Fellow in 1985. In 1988 he received a National Science Foundation Presidential Young Investigator award, and in 1992 won the American Mathematical Society Cole Prize in number theory. In 2012 he became a fellow of the American Mathematical Society.