Karl Rubin
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Karl Rubin is currently (2006) the Thorp Professor of Mathematics at the University of California, Irvine. His research is mainly in arithmetic algebraic geometry. 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 summa cum lauda from Princeton University in 1976, and obtained his Ph.D. from Harvard in 1981, with Andrew Wiles as his thesis advisor. He was a Putnam Fellow in 1975, and a Sloan Fellow in 1985. In 1988 he received an NSF Presidential Young Investigator award, and in 1992 won the American Mathematical Society Cole Prize in Number Theory.
[edit] See also
UCI press release on Rubin's appointment to Edward and Vivian Thorp Chair in Mathematics
K. Rubin, Tate-Shafarevich groups of elliptic curves with complex multiplication. Adv. Studies in Pure Math. 17 (1989), 409-419
