Richard Taylor (mathematician)
Taylor in 1999
|Born||19 May 1962|
|Alma mater||Princeton University
Clare College, Cambridge
|Doctoral advisor||Andrew Wiles|
|Doctoral students||Kevin Buzzard
Sug Woo Shin
|Notable awards||Whitehead Prize (1990)
Fermat Prize (2001)
Ostrowski Prize (2001)
Cole Prize (2002)
Shaw Prize (2007)
Clay Research Award (2007)
Breakthrough Prize in Mathematics (2014)
Richard Lawrence Taylor (born 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 a $3M 2014 Breakthrough Prize in Mathematics "For numerous breakthrough results in the theory of automorphic forms, including the Taniyama–Weil conjecture, the local Langlands conjecture for general linear groups, and the Sato–Tate conjecture.". He also received the 2007 Shaw Prize in Mathematical Sciences for his work on the Langlands program with Robert Langlands.
He received his B.A. from Clare College, Cambridge, and 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, and he is currently the Herchel Smith Professor of Mathematics at Harvard University.
He received the Whitehead Prize in 1990, the Fermat Prize, the Ostrowski Prize in 2001, the Cole Prize of the American Mathematical Society in 2002, and the Shaw Prize for Mathematics in 2007. He was also elected a Fellow of the Royal Society in 1995. In 2012 he became a fellow of the American Mathematical Society.
In subsequent work, Taylor (along with Michael Harris) proved the local Langlands conjectures for GL(n) over a number field. A simpler proof was suggested almost at the same time by Guy Henniart.
Taylor, together with Christophe Breuil, Brian Conrad, and Fred Diamond, completed the proof of the Taniyama–Shimura conjecture, by performing quite heavy technical computations in the case of additive reduction.
Recently, Taylor, following the ideas of Michael Harris and building on his joint work with 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 uses Wiles's theorem about modularity of semistable elliptic curves.
- SAVILIAN PROFESSORSHIP OF GEOMETRY in NOTICES, University Gazette 23.3.95 No. 4359 
- ‘TAYLOR, Prof. Richard Lawrence’, Who's Who 2008, A & C Black, 2008; online edn, Oxford University Press, Dec 2007 accessed 27 March 2008
- List of Fellows of the American Mathematical Society, retrieved 2013-08-25.
- ———; Wiles, A. (1995). "Ring theoretic properties of certain Hecke algebras". Ann. of Math. 141 (3): 553–572. doi:10.2307/2118560.
- Harris, M.; Taylor, R. (2001). The geometry and cohomology of some simple Shimura varieties. Annals of Mathematics Studies 151. Princeton University Press. ISBN 0-691-09090-4.
- Carayol 1999, pp. 193–194
- Breuil, C.; Conrad, B.; Diamond, F.; Taylor, R. (2001). "On the modularity of elliptic curves over Q: wild 3-adic exercises". J. Amer. Math. Soc. 14 (4): 843–939.
- ——— (2008). "Automorphy for some l-adic lifts of automorphic mod l representations. II". Publications Mathématiques de l'IHÉS 108 (1): 183–239. doi:10.1007/s10240-008-0015-2.
- Carayol, Henri (1999), "Preuve de la conjecture de Langlands locale pour GLn: travaux de Harris–Taylor et Henniart", Séminaire Nicolas Bourbaki (in French): 191–243
- His home page at the Institute for Advanced Study
- Richard Taylor at the Mathematics Genealogy Project