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Encyclopedia > Brian Conrad

Brian Conrad (b. November 20, 1970, New York City), is an American mathematician and number theorist, working at the University of Michigan, but currently a visiting professor at Columbia University. November 20 is the 324th day of the year (325th in leap years) in the Gregorian calendar. ... 1970 (MCMLXX) was a common year starting on Thursday. ... New York, NY redirects here. ... Leonhard Euler is considered by many to be one of the greatest mathematicians of all time A mathematician is the person whose primary area of study and research is the field of mathematics. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... The University of Michigan, Ann Arbor (UM, U of M or U-M) is a coeducational public research university in the U.S. state of Michigan. ... Columbia University is a private research university in the United States. ...


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. The Taniyama–Shimura theorem (also called the modularity theorem) establishes an important connection between elliptic curves, which are objects from algebraic geometry, and modular forms, which are certain periodic holomorphic functions investigated in number theory. ... Fred Diamond (born November 19, 1964) is an American mathematician. ... Richard Taylor (born 19 May 1962) is a British mathematician working in the field of number theory. ... Harvard University (incorporated as The President and Fellows of Harvard College) is a private university in Cambridge, Massachusetts, USA. Founded in 1636,[2] Harvard is the oldest institution of higher learning in the United States. ... Fuld Hall The Institute for Advanced Study is a private institution in Princeton Township, New Jersey, U.S.A., designed to foster pure cutting-edge research by scientists and scholars in a variety of fields without the complications of teaching or funding, or the agendas of sponsorship. ... Nassau Street, Princetons main street. ...


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. Andrew Wiles should not be confused with André Weil, another famous mathematician who, like Wiles, did important work in the area of elliptic curves. ... Princeton University is a coeducational private university located in Princeton, New Jersey, in the United States of America. ... Nova is a popular science television series from the USA produced by WGBH and can be seen on PBS and in more than 100 countries. ...


His identical twin brother, Keith Conrad, a professor at the University of Connecticut, and also a number theorist, received his B.S. from Princeton in 1992 and his Ph.D. from Harvard in 1997. The University of Connecticut, commonly known as UConn, is the State of Connecticuts land-grant university. ... Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... BS or bs is an abbreviation with multiple meanings, including: Bachelor of Science degree British Standard Bahamas (ISO country code) The postcode for Bristol, England A somewhat more polite abbreviation of bullshit A card game The Swiss canton of Basel_Stadt Shorthand for the backspace and the backspace control character Shorthand... Doctor of Philosophy (Ph. ...


External links

  • Homepage at University of Michigan
  • 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 12 (1999), pp. 521–567. Also contains the proof
  • C. Breuil, B. Conrad, F. Diamond et R. Taylor : On the modularity of elliptic curves over Q: wild 3-adic exercices, Journal of the American Mathematical Society 14 (2001), 843-939.


 

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