John Coates (mathematician)

John Henry Coates (born January 26, 1945 in Possum Brush , New South Wales ) is an Australian mathematician who deals with number theory and arithmetic-algebraic geometry.

John Coates 2006

Coates studied at the Australian National University, the École normal supérieure in Paris and at Cambridge University ( Trinity College ), where he received his doctorate on -adic analogues of Alan Baker's methods. In 1969 he was an assistant professor at Harvard University and in 1972 an associate professor at Stanford . In 1973 he became a Sloan Research Fellow . In 1975 he moved back to England, where he became a Cambridge Fellow at Emmanuel College. With Andrew Wiles , who did his doctorate with him, he proved the special case of the conjecture by Birch and Swinnerton-Dyer for elliptic curves with complex multiplication ( Inventiones Mathematicae Vol. 29, 1977, p. 223). In 1977 he became a professor at the Australian National University, but in 1978 he accepted a professorship at the University of Paris XI in Orsay . In 1985 he became a professor at the École normal supérieure. Since 1986 he has been a Sadleirian Professor of Pure Mathematics at the DPMMS (Department of Pure Mathematics and Mathematical Statistics) at Cambridge University. He is currently working on, among other things, non-commutative Iwasawa theory . ${\displaystyle p}$

In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( The arithmetic of elliptic curves with complex multiplication ). Since 1985 he has been a Fellow of the Royal Society . In 2008 he was elected a member of the Academia Europaea .

Web links

• John J. O'Connor, Edmund F. Robertson :  John Coates (mathematician). In: MacTutor History of Mathematics archive .
• John Coates in the Mathematics Genealogy Project (English)

Individual evidence

1. ^ Fellows Directory: John Coates. Royal Society, accessed November 1, 2017 . 
2. ^ Membership directory: John H. Coates. Academia Europaea, accessed November 1, 2017 .