Karl Rubin
Encyclopedia
Karl Rubin is an American
mathematician
at University of California, Irvine
as Thorp
Professor of Mathematics. His research interest is in elliptic curve
s. 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
.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
at University of California, Irvine
University of California, Irvine
The University of California, Irvine , founded in 1965, is one of the ten campuses of the University of California, located in Irvine, California, USA...
as Thorp
Edward O. Thorp
Edward Oakley Thorp is an American mathematics professor, author, hedge fund manager, and blackjack player. He was a pioneer in modern applications of probability theory, including the harnessing of very small correlations for reliable financial gain.He was the author of Beat the Dealer, the first...
Professor of Mathematics. His research interest is in elliptic curve
Elliptic curve
In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O. An elliptic curve is in fact an abelian variety — that is, it has a multiplication defined algebraically with respect to which it is a group — and O serves as the identity...
s. He was the first mathematician (1986) to show that some elliptic curves over the rationals have finite Tate-Shafarevich groups
Weil-Châtelet group
In arithmetic geometry, the Weil–Châtelet group of an abelian variety A defined over a field K is the abelian group of principal homogeneous spaces for A, defined over K. It is named for André Weil, who introduced the general group operation in it, and François Châtelet...
. It is widely believed that these groups are always finite.
Rubin graduated from Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
in 1976, and obtained his Ph.D. from Harvard in 1981. His thesis advisor was Andrew Wiles
Andrew Wiles
Sir Andrew John Wiles KBE FRS is a British mathematician and a Royal Society Research Professor at Oxford University, specializing in number theory...
. He was a Putnam Fellow in 1974, and a Sloan Research Fellow in 1985. In 1988 he received a National Science Foundation
National Science Foundation
The National Science Foundation is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health...
Presidential Young Investigator award, and in 1992 won the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
Cole Prize
Cole Prize
The Frank Nelson Cole Prize, or Cole Prize for short, is one of two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory. The prize is named after Frank Nelson Cole, who...
in number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
.