Brian Conrad
Encyclopedia
Brian Conrad is an American
mathematician
and number theorist
, working at Stanford University
. Previously he was at the University of Michigan
.
Conrad's most famous accomplishment is his work on proving the modularity theorem, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with Christophe Breuil
, Fred Diamond
and Richard Taylor
, while holding a joint postdoctoral position at Harvard University
and the Institute for Advanced Study
in Princeton, New Jersey
.
Conrad got his bachelor's degree from Harvard in 1992, where he won a prize for his undergraduate thesis. He did his doctoral work under Andrew Wiles
. He received his Ph.D. from Princeton University
in 1996 with a dissertation entitled Finite Honda Systems And Supersingular Elliptic Curves. He was also featured as an extra in Nova's
The Proof.
His identical twin brother Keith Conrad, also a number theorist
, is a professor at the University of Connecticut
.
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....
and number theorist
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...
, working at Stanford University
Stanford University
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is a private research university on an campus located near Palo Alto, California. It is situated in the northwestern Santa Clara Valley on the San Francisco Peninsula, approximately northwest of San...
. Previously he was at the University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
.
Conrad's most famous accomplishment is his work on proving the modularity theorem, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with Christophe Breuil
Christophe Breuil
Christophe Breuil is a French mathematician, who works in algebraic geometry and number theory.-Academic life:Breuil attended schools in Brive-la-Gaillarde and Toulouse and studied from 1990 to 1992 at the Ecole Polytechnique....
, Fred Diamond
Fred Diamond
Fred Diamond is an American mathematician, known for his role in proving the modularity theorem for elliptic curves. His research interest is in modular forms and Galois representations....
and Richard Taylor
Richard Taylor (mathematician)
-External links:**...
, while holding a joint postdoctoral position at Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
and the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
in Princeton, New Jersey
Princeton, New Jersey
Princeton is a community located in Mercer County, New Jersey, United States. It is best known as the location of Princeton University, which has been sited in the community since 1756...
.
Conrad got his bachelor's degree from Harvard in 1992, where he won a prize for his undergraduate thesis. He did his doctoral work under 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 received his Ph.D. 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 1996 with a dissertation entitled Finite Honda Systems And Supersingular Elliptic Curves. He was also featured as an extra in Nova's
NOVA (TV series)
Nova is a popular science television series from the U.S. produced by WGBH Boston. It can be seen on the Public Broadcasting Service in the United States, and in more than 100 other countries...
The Proof.
His identical twin brother Keith Conrad, also a number theorist
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...
, is a professor at the University of Connecticut
University of Connecticut
The admission rate to the University of Connecticut is about 50% and has been steadily decreasing, with about 28,000 prospective students applying for admission to the freshman class in recent years. Approximately 40,000 prospective students tour the main campus in Storrs annually...
.
External links
- Homepage at Stanford University
- On the modularity of elliptic curves over Q - Proof of Taniyama-Shimura coauthored by Conrad.
- Brian Conrad, Fred Diamond, Richard Taylor: Modularity of certain potentially Barsotti-Tate Galois representations, Journal of the American Mathematical SocietyJournal of the American Mathematical SocietyThe Journal of the American Mathematical Society , is a quarterly, peer reviewed, mathematical journal published by the American Mathematical Society. The editors are Weinan E, Sergey Fomin, Gregory Lawler, John W. Morgan, Karl Rubin, and Terence Tao...
12 (1999), pp. 521–567. Also contains the proof - C. Breuil, B. Conrad, F. Diamond, R. Taylor : On the modularity of elliptic curves over Q: wild 3-adic exercices, Journal of the American Mathematical Society 14 (2001), 843-939.