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
[
edit
]
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
[
edit
]
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
[
edit
]
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
[
edit
]
Taylor is the son of British physicist
John C. Taylor
. He is married and has two children.
[19]
References
[
edit
]
- ^
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 GL
n
: travaux de Harris?Taylor et Henniart"
,
Seminaire 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 Mathematiques de l'IHES
.
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.
External links
[
edit
]
|
---|
Mathematics
| |
---|
Fundamental
physics
|
- Nima Arkani-Hamed
,
Alan Guth
,
Alexei Kitaev
,
Maxim Kontsevich
,
Andrei Linde
,
Juan Maldacena
,
Nathan Seiberg
,
Ashoke Sen
,
Edward Witten
(2012)
- Special
:
Stephen Hawking
,
Peter Jenni
,
Fabiola Gianotti
(ATLAS),
Michel Della Negra
,
Tejinder Virdee
,
Guido Tonelli
,
Joseph Incandela
(CMS) and
Lyn Evans
(LHC) (2013)
- Alexander Polyakov
(2013)
- Michael Green
and
John Henry Schwarz
(2014)
- Saul Perlmutter
and members of the
Supernova Cosmology Project
;
Brian Schmidt
,
Adam Riess
and members of the
High-Z Supernova Team
(2015)
- Special
:
Ronald Drever
,
Kip Thorne
,
Rainer Weiss
and contributors to
LIGO
project (2016)
- Yifang Wang
,
Kam-Biu Luk
and the
Daya Bay team
,
Atsuto Suzuki
and the
KamLAND
team,
K?ichir? Nishikawa
and the
K2K
/
T2K
team,
Arthur B. McDonald
and the
Sudbury Neutrino Observatory
team,
Takaaki Kajita
and
Y?ichir? Suzuki
and the
Super-Kamiokande
team (2016)
- Joseph Polchinski
,
Andrew Strominger
,
Cumrun Vafa
(2017)
- Charles L. Bennett
,
Gary Hinshaw
,
Norman Jarosik
,
Lyman Page Jr.
,
David Spergel
(2018)
- Special
:
Jocelyn Bell Burnell
(2018)
- Charles Kane
and
Eugene Mele
(2019)
- Special
:
Sergio Ferrara
,
Daniel Z. Freedman
,
Peter van Nieuwenhuizen
(2019)
- The Event Horizon Telescope Collaboration
(2020)
- Eric Adelberger
,
Jens H. Gundlach
and
Blayne Heckel
(2021)
- Special
:
Steven Weinberg
(2021)
- Hidetoshi Katori
and
Jun Ye
(2022)
- Charles H. Bennett
,
Gilles Brassard
,
David Deutsch
,
Peter W. Shor
(2023)
- John Cardy
and
Alexander Zamolodchikov
(2024)
|
---|
Life sciences
|
- Cornelia Bargmann
,
David Botstein
,
Lewis C. Cantley
,
Hans Clevers
,
Titia de Lange
,
Napoleone Ferrara
,
Eric Lander
,
Charles Sawyers
,
Robert Weinberg
,
Shinya Yamanaka
and
Bert Vogelstein
(2013)
- James P. Allison
,
Mahlon DeLong
,
Michael N. Hall
,
Robert S. Langer
,
Richard P. Lifton
and
Alexander Varshavsky
(2014)
- Alim Louis Benabid
,
Charles David Allis
,
Victor Ambros
,
Gary Ruvkun
,
Jennifer Doudna
and
Emmanuelle Charpentier
(2015)
- Edward Boyden
,
Karl Deisseroth
,
John Hardy
,
Helen Hobbs
and
Svante Paabo
(2016)
- Stephen J. Elledge
,
Harry F. Noller
,
Roeland Nusse
,
Yoshinori Ohsumi
,
Huda Zoghbi
(2017)
- Joanne Chory
,
Peter Walter
,
Kazutoshi Mori
,
Kim Nasmyth
,
Don W. Cleveland
(2018)
- C. Frank Bennett
and
Adrian R. Krainer
,
Angelika Amon
,
Xiaowei Zhuang
,
Zhijian Chen
(2019)
- Jeffrey M. Friedman
,
Franz-Ulrich Hartl
,
Arthur L. Horwich
,
David Julius
,
Virginia Man-Yee Lee
(2020)
- David Baker
,
Catherine Dulac
,
Dennis Lo
,
Richard J. Youle
[
de
]
(2021)
- Jeffery W. Kelly
,
Katalin Kariko
,
Drew Weissman
,
Shankar Balasubramanian
,
David Klenerman
and
Pascal Mayer
(2022)
- Clifford P. Brangwynne
,
Anthony A. Hyman
,
Demis Hassabis
,
John Jumper
,
Emmanuel Mignot
,
Masashi Yanagisawa
(2023)
- Carl June
,
Michel Sadelain
,
Sabine Hadida
,
Paul Negulescu
,
Fredrick Van Goor
,
Thomas Gasser
,
Ellen Sidransky
and
Andrew Singleton
(2024)
|
---|
|
---|
Astronomy
| |
---|
Life science
and medicine
| |
---|
Mathematical
science
| |
---|
|
---|
International
| |
---|
National
| |
---|
Academics
| |
---|
Other
| |
---|