British mathematician
Richard Lawrence Taylor (born 19 May 1962) is a British
[2] mathematician working in the field of
number theory .
[3] He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at
Stanford University .
[4]
Taylor received the 2002
Cole Prize , the 2007
Shaw Prize with
Robert Langlands , and the 2015
Breakthrough Prize in Mathematics .
Career
He received his
B.A. from
Clare College, Cambridge .
[5]
[6] During his time at
Cambridge , he was president of
The Archimedeans in 1981 and 1982, following the resignation of his predecessor.
[7] He earned his
Ph.D. in mathematics from
Princeton University in 1988 after completing a doctoral dissertation, titled "On congruences between
modular forms ", under the supervision of
Andrew Wiles .
[8]
He was an assistant lecturer, lecturer, and then reader at the University of Cambridge from 1988 to 1995.
[9] From 1995 to 1996 he held the
Savilian chair of geometry
[5] at
Oxford University and Fellow of
New College, Oxford .
[9]
[6] He was a professor of mathematics at
Harvard University from 1996 to 2012, at one point becoming the Herchel Smith Professor of Mathematics.
[9] He moved to the
Institute for Advanced Study as the Robert and Luisa Fernholz Professorship from 2012 to 2019.
[9] He has been the Barbara Kimball Browning Professor in Humanities & Sciences at
Stanford University since 2018.
[4]
Research
One of the two papers containing the published proof of
Fermat's Last Theorem is a joint work of Taylor and
Andrew Wiles .
[10]
In subsequent work, Taylor (along with
Michael Harris ) proved the
local Langlands conjectures for
GL(n ) over a
number field .
[11] A simpler proof was suggested almost at the same time by
Guy Henniart ,
[12] and ten years later by
Peter Scholze .
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.
[13]
In 2008, Taylor, following the ideas of Michael Harris and building on his joint work with
Laurent Clozel , Michael Harris, and
Nick Shepherd-Barron , 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.
[14]
Awards and honors
He received the
Whitehead Prize in 1990, the
Fermat Prize and the
Ostrowski Prize in 2001, the
Cole Prize of the
American Mathematical Society in 2002, and the
Shaw Prize for Mathematics in 2007.
[9] He received the 2015
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 ."
[15]
He was elected a
Fellow of the Royal Society in 1995.
[9] In 2012 he became a fellow of the
American Mathematical Society .
[16] In 2015 he was inducted into the
National Academy of Sciences .
[17]
He was elected to the
American Philosophical Society in 2018.
[18]
Personal life
Taylor is the son of British physicist
John C. Taylor . He is married and has two children.
[19]
References
^
Richard Taylor at the
Mathematics Genealogy Project
^
"Member Directory: Richard L. Taylor" . National Academy of Science.
^ 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
^
a
b
Taylor's staff page at Stanford.
^
a
b SAVILIAN PROFESSORSHIP OF GEOMETRY in NOTICES, University Gazette 23.3.95 No. 4359
[1]
Archived 10 October 2007 at the
Wayback Machine
^
a
b '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 Presidents of The Archimedeans" . Retrieved 15 June 2018 .
^ Taylor, Richard Lawrence (1988).
On congruences between modular forms .
^
a
b
c
d
e
f
"Curriculum Vitae" (PDF) . Richard Taylor . 2023. Retrieved 14 February 2024 .
^ Taylor, R.; Wiles, A. (1995). "Ring theoretic properties of certain Hecke algebras".
Ann. of Math. 141 (3): 553–572.
CiteSeerX
10.1.1.128.531 .
doi :
10.2307/2118560 .
JSTOR
2118560 .
^ Harris, M.; Taylor, R. (2001). The geometry and cohomology of some simple Shimura varieties . Annals of Mathematics Studies. Vol. 151.
Princeton University Press .
ISBN
978-0-691-09090-0 .
^
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.
doi :
10.1090/S0894-0347-01-00370-8 .
^ Taylor, R. (2008). "Automorphy for some l -adic lifts of automorphic mod l representations. II".
Publications Mathématiques de l'IHÉS . 108 (1): 183–239.
CiteSeerX
10.1.1.116.9791 .
doi :
10.1007/s10240-008-0015-2 .
S2CID
8562928 .
^
"Breakthrough Prize" . Breakthrough Prize. Retrieved 14 August 2014 .
^
List of Fellows of the American Mathematical Society . Retrieved 25 August 2013.
^
National Academy of Sciences Member Directory . Retrieved 30 April 2016.
^
"Election of New Members at the 2018 Spring Meeting | American Philosophical Society" .
^
"Autobiography of Richard Taylor" . Shaw Prize Laureates, 2007 . The Shaw Prize Foundation. Archived from
the original on 24 September 2017.
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