Richard Taylor (mathematician)
From Wikipedia, the free encyclopedia
| Richard Taylor | |
 |
|
| Born | May 19, 1962 |
|---|---|
Richard Taylor (born Richard Lawrence Taylor 19 May 1962) is a British mathematician working in the field of number theory. A former research student of Andrew Wiles, he returned to Princeton to help his advisor complete the proof of Fermat's last theorem.
Taylor received the 2007 Shaw Prize in Mathematical Sciences for his work on the Langlands program with Robert Langlands.
Contents |
[edit] Academic career
He received his Ph.D. from Princeton University in 1988. From 1995 to 1996 he held the Savilian Chair of Geometry at Oxford University and Fellow of New College, Oxford[1], and he is currently the Herchel Smith Professor of Mathematics at Harvard University.
He received the Whitehead Prize in 1990, the Fermat Prize and the Ostrowski Prize in 2001 and the Cole Prize of the American Mathematical Society in 2002. He was also elected a Fellow of the Royal Society in 1995.
[edit] Work
One of the two papers containing the published proof of Fermat's Last Theorem is a joint work of Taylor and Andrew Wiles.[2]
In subsequent work, Taylor (along with Michael Harris) proved the local Langlands conjectures for GL(n) over a number field.[3]
Taylor, along with Christophe Breuil, Brian Conrad, and Fred Diamond, completed the proof of the Taniyama-Shimura conjecture.[4]
Very recently, Taylor, building on his own work and that of Laurent Clozel, Michael Harris, and Nick Shepherd-Barron, has announced a proof of the Sato-Tate conjecture, for elliptic curves with non-integral j-invariant. This partial proof of the Sato-Tate conjecture follows from a modularity result, generalizing Wiles's result for elliptic curves.[5]
Some expert opinion now predicts that the removal of the technical condition, and the full Sato-Tate conjecture, will follow from the stabilization of the Selberg trace formula. That is, Sato-Tate is rumoured now to be subject to a conditional proof.
[edit] Personal life
Taylor is married to Christine Taylor (born and raised in China). They have two children: Jeremy and Chloe. He is also the son of famous British physicist, John C. Taylor.
[edit] External links
[edit] References
- ^ ‘TAYLOR, Prof. Richard Lawrence’, Who's Who 2008, A & C Black, 2008; online edn, Oxford University Press, Dec 2007 accessed 27 March 2008
- ^ R. Taylor and A. Wiles, Ring theoretic properties of certain Hecke algebras, Ann. of Math. 141 (1995), no. 3, pp. 553-572 (subscription required to view article)
- ^ M. Harris and R. Taylor, The geometry and cohomology of some simple Shimura varieties, Annals of Mathematics Studies, no. 151, Princeton University Press, 2001. ISBN 0-691-09090-4
- ^ C. Breuil, B. Conrad, F. Diamond and R. Taylor, On the modularity of elliptic curves over Q : wild 3-adic exercises, J. Amer. Math. Soc. 14 (2001), no. 4, pp. 843-939
- ^ R. Taylor, Automorphy for some l-adic lifts of automorphic mod l representations. II, preprint available at his website.
|
|||||
|
|||||||||||
 |
This article about a United Kingdom mathematician is a stub. You can help Wikipedia by expanding it. |
