Brian Conrad

Brian Conrad ( born November 20, 1970 in New York City ) is an American mathematician, specializing in number theory. Since 2008 he is a professor at Stanford University.

In 1992, he received his Bachelor of Science degree from Harvard University, where he was awarded a prize for his thesis. In 1996 he received his doctorate from Princeton University with Andrew Wiles (Finite Honda Systems And Elliptic Curves Super singular ). Its been the most significant contribution to number theory is his collaboration in the proof of the Taniyama - Shimura conjecture ( Modularitätssatz ), which he, together with Christophe Breuil, Fred Diamond and Richard Taylor proved in 1999 while he was a postdoctoral fellow at the same time at Harvard University and the Institute for Advanced Study at Princeton was busy.

Conrad has a twin brother, Keith, who is also number theorist and currently holds a professorship at the University of Connecticut.

Writings

• Brian Conrad, Fred Diamond, Richard Taylor: Modularity of Certain Potentially Barsotti - Tate Galois representations, Journal of the American Mathematical Society 12 (1999), pp. 521-567.
• C. Breuil, B. Conrad, F. Diamond, R. Taylor: On the modularity of elliptic curves over Q: wild 3- adic exercices (PDF, 698 kB), Journal of the American Mathematical Society 14 (2001), 843 - 939 ( full proof of the Taniyama - Shimura conjecture ).
• With Ofer Gabber, Gopal Prasad pseudo - reductive groups, Cambridge University Press 2010