Richard Taylor (mathematician)

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Richard Taylor
Born 19 May 1962 (1962-05-19) (age 54)
Nationality British
Fields Mathematics
Institutions Harvard University
Alma mater Princeton University
Clare College, Cambridge
Doctoral advisor Andrew Wiles
Doctoral students Kevin Buzzard
Ana Caraiani
Ashley Jarvis
David Savitt
Notable awards Whitehead Prize (1990)
Fermat Prize (2001)
Ostrowski Prize (2001)
Cole Prize (2002)
Shaw Prize (2007)

Richard Lawrence Taylor (born 19 May 1962) is a British mathematician. He works in number theory. He was a former research student of Andrew Wiles. He returned to Princeton to help Wiles complete the proof of Fermat's last theorem.

Taylor received the 2007 Shaw Prize in Mathematical Sciences. This for his work on the Langlands program. He did this work with Robert Langlands.

Career[change | change source]

Taylor received his B.A. from Clare College, Cambridge.[1][2] He received his Ph.D. from Princeton University in 1988. From 1995 to 1996 he held the Savilian Chair of Geometry[1] at Oxford University. He was also a Fellow of New College, Oxford.[2] Currently, he is 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. He also got 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.

Work[change | change source]

There are two papers which have the complete proof of Fermat's Last Theorem. One of them was written by Taylor with Andrew Wiles.[3]

In his later work, Taylor (along with Michael Harris) proved the local Langlands conjectures.[4] A simpler proof was suggested almost at the same time by Guy Henniart.[5]

Later, together with Christophe Breuil, Brian Conrad, and Fred Diamond, he completed proving the Taniyama–Shimura conjecture, by performing very difficult computations.[6]

Recently, Taylor, following the ideas of Michael Harris, developed on his work with Laurent Clozel, Michael Harris, and Nick Shepherd-Barron. He has announced that he proved the Sato–Tate conjecture, for elliptic curves with non-integral j-invariant. This partial proof of the Sato–Tate conjecture uses a theorem of Wiles.[7]

Personal life[change | change source]

Taylor is married to Christine Taylor . She is a mathematical biologist. They have two children: Jeremy and Chloe. He is also the son of British physicist, John C. Taylor.

References[change | change source]

  1. 1.0 1.1 SAVILIAN PROFESSORSHIP OF GEOMETRY in NOTICES, University Gazette 23.3.95 No. 4359 [1]
  2. 2.0 2.1 ‘TAYLOR, Prof. Richard Lawrence’, Who's Who 2008, A & C Black, 2008; online edn, Oxford University Press, Dec 2007 accessed 27 March 2008
  3. ———; Wiles, A. (1995). "Ring theoretic properties of certain Hecke algebras". Ann. of Math. 141 (3): 553–572. doi:10.2307/2118560.
  4. 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.
  5. Carayol 1999, pp. 193–194
  6. 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.
  7. ——— (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.