- John Coates (mathematician)
Infobox_Scientist

name = John Henry Coates

box_width = 26em

image_width = 225px

caption = John H. Coates

birth_date = birth date and age|1945|1|26

birth_place =New South Wales ,Australia

death_date =

death_place =

residence =

nationality =

field =Mathematics

work_institutions =Cambridge University

alma_mater =Australian National University

doctoral_advisor =Alan Baker

doctoral_students =Andrew Wiles ,Jacques Tilouine ,Rodney Yager ,Bernadette Perrin-Riou ,Gary McConnell ,Leila Schneps ,Pierre Colmez ,Matthias Flach ,Warren Sinnott ,Daniel Delbourgo ,Susan Howson ,Otmar Venjakob ,Sarah Zerbes ,Thanasis Bouganis

known_for =Iwasawa theory

"p"-adic "L"-functions

prizes =Senior Whitehead Prize (1997)

religion =

footnotes =**John Henry Coates**, FRS (born26 January 1945 ) is amathematician who holds (since 1986) the position ofSadleirian Professor of Pure Mathematics at theUniversity of Cambridge in theUnited Kingdom .Coates was born and grew up in Possum Brush in

New South Wales ,Australia , and studied at theAustralian National University from which he gained aB.Sc. degree. He then moved toFrance , doing further study at theÉcole Normale Superieure inParis , before moving again toEngland . There he did postgraduate research at the University of Cambridge, his doctoral dissertation being on "p"-adic analogues ofBaker's method .In 1969, Coates was appointed assistant professor of mathematics at

Harvard University in theUnited States , before moving again in 1972 toStanford University where he became an associate professor.In 1975, he returned to England where he was made a

fellow of Emmanuel College, and took up a lectureship. Here he supervised the PhD ofAndrew Wiles , and together they proved a partial case of theBirch and Swinnerton-Dyer conjecture forelliptic curve s withcomplex multiplication . [*Coates, J.; Wiles, A. On the conjecture of Birch and Swinnerton-Dyer. Invent. Math.*]**39**(1977), no. 3, pp. 223-251In 1977, Coates moved back to Australia, becoming a professor at the

Australian National University , where he had been an undergraduate. The following year, he moved back to France, taking up a professorship at theUniversity of Paris XI atOrsay . In 1985, he returned to the École Normale Superieure, this time as professor and director of mathematics.He was elected a fellow of the

Royal Society of London in 1985, and was President of theLondon Mathematical Society from 1988 to 1990. The latter organisation awarded him theSenior Whitehead Prize in 1997, for "his fundamental research in number theory and for his many contributions to mathematical life both in the UK and internationally".Since 1986 Coates has worked in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) of the University of Cambridge. In the last ten years he has focused on the study of various aspects of non-commutative

Iwasawa theory , for instance, the study of the arithmetic of elliptic curves in nonabelian infinite extensions.**References****External links***

*

* [*http://www.dpmms.cam.ac.uk/site2002/People/coates_jh.html DPMMS profile*]

* [*http://www.emma.cam.ac.uk/about/fellows/display/index.cfm?fellow=83 Emmanuel College profile*]Persondata

NAME= Coates, John Henry

ALTERNATIVE NAMES=

SHORT DESCRIPTION=Mathematician

DATE OF BIRTH=January 26 ,1945

PLACE OF BIRTH=New South Wales ,Australia

DATE OF DEATH=

PLACE OF DEATH=

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