Brian Conrad

Brian Conrad (born November 20, 1970 in New York City ) is an American mathematician specializing in number theory . Since 2008 he has been 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 PhD from Princeton University with Andrew Wiles (Finite Honda Systems And Supersingular Elliptic Curves). His most important contribution to number theory to date is his collaboration on the proof of the Taniyama-Shimura conjecture (modularity theorem), which he proved in 1999 together with Christophe Breuil , Fred Diamond and Richard Taylor , while he was a postdoc at Harvard University and the Institute for Advanced Study at Princeton was busy.

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

Fonts

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 evidence of the Taniyama-Shimura conjecture).
with Ofer Gabber , Gopal Prasad Pseudo-reductive Groups , Cambridge University Press 2010