Karl Rubin

Education
1976 B.A., Princeton University 1977 M.A., Harvard University 1981 Ph.D., Harvard University Thesis: On the Arithmetic of CM Elliptic Curves in Z_p-Extensions Advisor: Andrew Wiles
Employment
1982–1983 Instructor, Princeton University 1984–1987 Assistant Professor, Ohio State University 1988–1989 Professor, Columbia University 1987–1996 Professor, Ohio State University 1996–1999 Distinguished University Professor, Ohio State University 1997–2006 Professor, Stanford University Currently Thorp Professor of Mathematics, University of California, Irvine
Students
Fernando Rodriguez-Villegas, The Ohio State University, 1990 Massimo Bertolini, Columbia University, 1992 Cristian Gonzalez-Aviles, The Ohio State University, 1994 Mingzhi Xu, The Ohio State University, 1995 Cristian Popescu, The Ohio State University, 1996 Hoseog Yu, The Ohio State University, 1999 Edray Goins, Stanford University, 1999 Benjamin Howard, Stanford University 2002 Byoung-du Kim, Stanford University, 2005
Honors and Adwards
1975 Putnam Fellow 1976 NSF Graduate Fellowship 1979 Harvard University Graduate School of Arts and Sciences Fellow 1981 NSF Postdoctoral Fellowship 1985 Sloan Fellowship 1987 Ohio State University Distinguished Scholar Award 1988 National Science Foundation (NSF) Presidential Young Investigator Award 1992 American Mathematical Society Cole Prize in Number Theory 1994 Guggenheim Fellowship 1999 Humboldt Foundation Research Award

Karl Rubin 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 1975, and a Sloan 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.