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Fellows Directory

John Coates

John Coates

Professor John Coates FRS


Elected: 1985


John Coates made important contributions to the theory of numbers, in particular to the study of cyclotomic fields, elliptic curves and Iwasawa theory. In addition to his own important contributions, he was a stimulating influence on colleagues and students. Together with his pupil Andrew Wiles, he achieved the first major breakthrough towards a proof of the Birch-Swinnerton-Dyer conjectures.

Professor John Coates FRS died on 9 May 2022.

Interest and expertise

Subject groups

  • Mathematics
    • Pure mathematics


Elliptic curves, Iwasawa theory, Arithmetic Geometry

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