# Karl Rubin

**Karl Cooper Rubin** (born January 27, 1956) is an American mathematician at University of California, Irvine as Thorp Professor of Mathematics. Between 1997 and 2006, he was a professor at Stanford, and before that worked at Ohio State University between 1987 and 1999. 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.[1]

Karl Cooper Rubin | |
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Born | |

Nationality | United States |

Alma mater | Princeton University Harvard University |

Awards | Cole Prize (1992) |

Scientific career | |

Institutions | Princeton University Ohio State University Columbia University Stanford University University of California, Irvine |

Doctoral advisor | Andrew Wiles |

Doctoral students | Cristian Dumitru Popescu |

## Education and career

Rubin graduated from Princeton University in 1976, and obtained his Ph.D. from Harvard in 1981. His thesis advisor was Andrew Wiles.[2] He was a Putnam Fellow in 1974, and a Sloan Research Fellow in 1985.[3]

In 1988 Rubin 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.[4] Rubin's mother was astronomer Vera Rubin.[5]

## References

- Rubin, Karl (1989). "Tate-Shafarevich groups of elliptic curves with complex multiplication". In Coates, John; Greenberg, Ralph; Mazur, Barry; et al. (eds.).
*Algebraic Number Theory*. Advanced Studies in Pure Mathematics.**17**. Boston, MA: Academic Press, Inc. pp. 409–419. ISBN 0-12-177370-1. MR 1097625. - Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas - Rubin's talk in 1993 about elliptic curves at MSRI
- Karl Rubin, acclaimed mathematician, named Edward and Vivian Thorp Chair in Mathematics at the Wayback Machine (archived August 14, 2007)
- "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 2016-08-22.
- Vera Rubin obit.