Richard Taylor (mathematician)

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Richard Taylor (1999)

Richard Lawrence Taylor (born May 19, 1962 ) is a British mathematician who works in the field of number theory .

resume

He received his PhD from Princeton in 1988 on the congruence of modular shapes with Andrew Wiles . Then he went to Oxford . For some time he returned to Princeton to assist Wiles in proving Fermat's great theorem .

From 1995 to 1996 he was appointed to the Savilian Chair of Geometry at Oxford University. After that he was a professor at Harvard University . From 2012 to 2018 he was professor at the Institute for Advanced Study in Princeton , and since 2018 he has been at Stanford University .

His PhD students include Kevin Buzzard and Kai-Wen Lan .

Work

In 1994–1995 he assisted Andrew Wiles solving Fermat's Last Theorem . He co-authored one of the two publications in evidence.

In 1998, together with Michael Harris , he proved the local Langlands conjecture (that is, for local p-adic bodies).

In 2001 Taylor, together with Christophe Breuil , Brian Conrad and Fred Diamond, completed the proof of the Taniyama-Shimura conjecture . Part of the conjecture was proved by Wiles for his proof of Fermat's last theorem.

In 2008 and 2009 he announced the proof of the Sato-Tate Conjecture (by Mikio Satō and John T. Tate ) for special elliptical curves, in collaboration with Laurent Clozel , Michael Harris and Nicholas Shepherd-Barron .

Awards

In 1994 he was invited speaker at the ICM in Zurich (Representations of Galois groups associated to modular forms). In 2001 he was awarded the Ostrowski Prize and the Fermat Prize . In 2002 he gave a plenary lecture at the International Congress of Mathematicians (ICM) in Beijing (Galois representations). In 2007 he received the Shaw Prize and the Clay Research Award (with Michael Harris for her work on local and global Galois representations). In 2008 he gave a plenary lecture at the European Congress of Mathematicians in Amsterdam ( The Sato-Tate-Conjecture ). In 2012, Taylor was elected to the American Academy of Arts and Sciences . In 2014 he and four other mathematicians were awarded the Breakthrough Prize in Mathematics for (according to the laudation) several breakthroughs in the theory of automorphic forms, including the Taniyama-Weil conjecture , the local long-country conjecture for the general linear group and the Sato Tate- Guess. In 2015 Taylor was elected to the National Academy of Sciences and in 2018 to the American Philosophical Society . He is a fellow of the American Mathematical Society .

Web links

Commons : Richard Taylor  - Collection of Images, Videos and Audio Files

credentials

  1. Dissertation: On congruences between modular forms , Richard Taylor in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ R. Taylor, A. Wiles: Ring theoretic properties of certain Hecke algebras . In: Ann. of Math. Volume 141, 1995, number 3, pp. 553-572 doi: 10.2307 / 2118560 .
  3. M. Harris, R. Taylor: The geometry and cohomology of some simple Shimura varieties . In: Annals of Mathematics Studies. Number 151, Princeton University Press , 2001. ISBN 0-691-09090-4 .
  4. ^ C. Breuil, B. Conrad, F. Diamond, R. Taylor: On the modularity of elliptic curves over Q : wild 3-adic exercises In: J. Amer. Math. Soc. Volume 14, 2001, number 4, pp. 843-939.
  5. Partially published in Clozel, Harris, Taylor: Automorphy for some l-adic lifts of automorphic mod l Galois representations . In: Publ. Math. Inst. Hautes Études Sci. Volume 108, 2008, pp. 1-181, Part 2 by Taylor, ibid., Pp. 183-239.
  6. Breakthrough Prize 2014 ( Memento of the original from June 24, 2014 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / breakthroughprize.org