Karl Rubin

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Karl Rubin
Karl Rubin.jpg
Karl Rubin in 2009.
Born (1956-01-27) January 27, 1956 (age 69)
Urbana, Illinois
NationalityAmerican
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

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) [1] to show that some elliptic curves over the rationals have finite Tate–Shafarevich groups. It is widely believed that these groups are always finite. [2]

Contents

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. [3] He was a Putnam Fellow in 1974, [4] and a Sloan Research Fellow in 1985. [5]

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. [6] Rubin's parents were mathematician Robert Joshua Rubin and astronomer Vera Rubin. [7] Rubin is brother to astronomer and physicist Judith Young.

See also

References

  1. ↑ Rubin, Karl (1987). "Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication" . Inventiones Mathematicae. 89 (3): 527–559. doi:10.1007/BF01388984. ISSN   0020-9910 . Retrieved June 6, 2025.
  2. ↑ 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. Vol. 17. Boston, MA: Academic Press, Inc. pp. 409–419. ISBN   0-12-177370-1. MR   1097625.
  3. ↑ 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
  4. ↑ "Putnam Competition Individual and Team Winners". Mathematical Association of America. Archived from the original on March 12, 2014. Retrieved December 13, 2021.
  5. ↑ "Karl Rubin, acclaimed mathematician, named Edward and Vivian Thorp Chair in Mathematics". Archived from the original on September 9, 2006. Retrieved August 28, 2006.
  6. ↑ "List of Fellows of the American Mathematical Society". American Mathematical Society . Retrieved August 22, 2016.
  7. ↑ Vera Rubin obit.
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