Brian Conrad (born November 20, 1970) is an

American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and number theorist, working at

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

. Previously, he taught at the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

and at

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

. Conrad and others proved the

modularity theorem The modularity theorem (formerly called the Taniyama–Shimura conjecture, Taniyama-Weil conjecture or modularity conjecture for elliptic curves) states that elliptic curves over the field of rational numbers are related to modular forms. And ...

, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with

Christophe Breuil Christophe Breuil (; born 1968) is a French people, French mathematician, who works in arithmetic geometry and algebraic number theory. Work With Fred Diamond, Richard Taylor (mathematician), Richard Taylor and Brian Conrad in 1999, he proved th ...

Fred Diamond Fred Irvin Diamond (born November 19, 1964) is a mathematician, known for his role in proving the modularity theorem for elliptic curves. His research interest is in modular forms and Galois representations. Diamond received his B.A. from the ...

and Richard Taylor, while holding a joint postdoctoral position at

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...

and the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...

. Conrad received 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 Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specializing in number theory. He is best known for proving Fermat's Last Theorem, for which he was awar ...

and went on to receive his Ph.D. from

Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...

in 1996 with a dissertation titled ''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 The University of Connecticut (UConn) is a public land-grant research university in Storrs, Connecticut, a village in the town of Mansfield. The primary 4,400-acre (17.8 km2) campus is in Storrs, approximately a half hour's drive from Hart ...

References

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 Society The ''Journal of the American Mathematical Society'' (''JAMS''), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society. It was established in January 1988. Abstracting and indexing This journal is abstr ...

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 exercises''
Journal of the American Mathematical Society 14 (2001), 843–939. {{DEFAULTSORT:Conrad, Brian 20th-century American mathematicians 21st-century American mathematicians Number theorists Harvard University staff Princeton University alumni University of Michigan faculty Scientists from New York City 1970 births Living people Harvard College alumni Fermat's Last Theorem Mathematicians from New York (state) American identical twins Recipients of the Presidential Early Career Award for Scientists and Engineers