Back كارل روبين Arabic كارل روبين ARZ Karl Rubin German Karl Rubin Spanish Karl Rubin French Karl Rubin Italian カール・ルービン Japanese Karl Rubin Portuguese
Karl Cooper Rubin | |
|---|---|
 Karl Rubin in 2009. | |
| Born | January 27, 1956 |
| Nationality | American |
| 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) 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]
- ^ 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.