Richard Taylor (mathematician)
| Richard Taylor | |
|---|---|
.jpg)
Taylor in 1999
|
|
| Born | 19 May 1962 Cambridge, UK |
| Nationality | British |
| Fields | Mathematics |
| Institutions | Institute for Advanced Study Harvard University |
| Alma mater | Princeton University Clare College, Cambridge |
| Doctoral advisor | Andrew Wiles |
| Doctoral students | Kevin Buzzard David Geraghty Elena Mantovan 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 $3 million 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."[1] He also received the 2007 Shaw Prize in Mathematical Sciences for his work on the Langlands program with Robert Langlands.
Academic career
He received his B.A. from Clare College, Cambridge,[2][3] and his Ph.D. from Princeton University in 1988. From 1995–96 he held the Savilian Chair of Geometry[2] at Oxford University and Fellow of New College, Oxford,[3] and later became the Herchel Smith Professor of Mathematics at Harvard University. He currently works at the Institute for Advanced Study.
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.[4]
Work
One of the two papers containing the published proof of Fermat's Last Theorem is a joint work of Taylor and Andrew Wiles.[5]
In subsequent work, Taylor (along with Michael Harris) proved the local Langlands conjectures for GL(n) over a number field.[6] A simpler proof was suggested almost at the same time by Guy Henniart.[7]
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.[8]
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.[9]
Personal life
Taylor is the son of British physicist, John C. Taylor. He is married to Christine Taylor (a mathematical biologist). They have two living children: Jeremy and Chloe. [10]
Notes
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ 2.0 2.1 SAVILIAN PROFESSORSHIP OF GEOMETRY in NOTICES, University Gazette 23.3.95 No. 4359 [1] Archived October 10, 2007 at the Wayback Machine
- ↑ 3.0 3.1 ‘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.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Carayol 1999, pp. 193–194
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Taylor, Richard "The Shaw Prize", 2007
References
- Lua error in package.lua at line 80: module 'strict' not found.
External links
- His home page at the Institute for Advanced Study
- Richard Taylor at the Mathematics Genealogy Project
- Autobiography upon Shaw Prize acceptance
- 1962 births
- 20th-century British mathematicians
- 21st-century British mathematicians
- Alumni of Clare College, Cambridge
- Clay Research Award recipients
- Fellows of New College, Oxford
- Fellows of the American Academy of Arts and Sciences
- Fellows of the American Mathematical Society
- Fellows of the Royal Society
- Guggenheim Fellows
- Harvard University faculty
- Institute for Advanced Study faculty
- Living people
- Number theorists
- Princeton University alumni
- Savilian Professors of Geometry
- Whitehead Prize winners
- Fermat's Last Theorem
