John H. Coates

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.

Coates studied at the Australian National University, the École Normale 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 associate professor at Stanford. In 1975 he moved back to England, where he was a Fellow at Emmanuel College, Cambridge. With Andrew Wiles, who earned his doctorate under him, he proved the special case of the conjecture of 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 took a professorship at the University of Paris XI in Orsay. In 1985 he became a professor at the École normale supérieure. Since 1986 he has been on DPMMS ( Department of Pure Mathematics and Mathematical Statistics ) at the University of Cambridge as Sadleirian Professor of Pure Mathematics. He works at the time, among others, non- commutative Iwasawa theory.

In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki (The arithmetic of elliptic curves with complex multiplication ).

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