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John Coates (mathematician)

John Coates
John Coates.jpg
John H. Coates
Born John Henry Coates
(1945-01-26) 26 January 1945 (age 72)
New South Wales, Australia
Residence Cambridge, England
Nationality Australian
Fields Mathematics
Institutions
Alma mater
Thesis The Effective Solution of Some Diophantine Equations (1969)
Doctoral advisor Alan Baker
Doctoral students
Known for
Influences John Tate
Notable awards
Spouse Julie Turner
Website
dpmms.cam.ac.uk/people/jhc13

John Henry Coates, FRS (born 26 January 1945) is a mathematician who was the Sadleirian Professor of Pure Mathematics at the University of Cambridge in the United Kingdom from 1986 to 2012.

Coates was born the son of J. H. Coates and B. L. Lee and grew up in Possum Brush (near Taree) in New South Wales, Australia. Coates Road in Possum Brush is named after the family farm on which he grew up. Before university he spent a summer working for BHP Billiton in Newcastle, New South Wales, though he was not successful in gaining a university scholarship with the company. Coates attended Australian National University on scholarship as one of the first undergraduates, from which he gained a BSc degree. He then moved to France, doing further study at the École Normale Supérieure in Paris, before moving again to England.

In England he did postgraduate research at the University of Cambridge, his doctoral dissertation being on p-adic analogues of Baker's method. In 1969, Coates was appointed assistant professor of mathematics at Harvard University in the United States, before moving again in 1972 to Stanford 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 of Andrew Wiles, and together they proved a partial case of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication.


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