Karl Rubin

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Karl Rubin
Karl Rubin1.jpg
Karl Rubin in 2009.
Born (1956-01-27) January 27, 1956 (age 61)
Urbana, Illinois
Nationality United States
Institutions Princeton University
Ohio State University
Columbia University
Stanford University
University of California, Irvine
Alma mater Princeton University
Harvard University
Doctoral advisor Andrew Wiles
Doctoral students Cristian Dumitru Popescu
Notable awards Cole Prize (1992)

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.[1] Rubin's mother was astronomer Vera Rubin.[2]


  1. ^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 2016-08-22. 
  2. ^ Vera Rubin obit.
  • Rubin, Karl (1989). "Tate-Shafarevich groups of elliptic curves with complex multiplication". In Coates, John; Greenberg, Ralph; Mazur, Barry; et al. Algebraic Number Theory. Advanced Studies in Pure Mathematics. 17. Boston, MA: Academic Press, Inc. pp. 409–419. ISBN 0-12-177370-1. MR 1097625. 

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