Bryan John Birch
Bryan John Birch | |
---|---|
Burton-upon-Trent, England | |
Nationality | British |
Alma mater | Trinity College, Cambridge |
Known for | Birch and Swinnerton-Dyer conjecture Birch–Tate conjecture Birch's theorem Heegner point Modular symbol |
Awards | Senior Whitehead Prize (1993) De Morgan Medal (2007) Sylvester Medal (2020) |
Scientific career | |
Fields | Mathematics |
Institutions | University of Oxford |
Doctoral advisor | J. W. S. Cassels |
Doctoral students | Kaye Stacey |
Bryan John Birch FRS (born 25 September 1931) is a British mathematician. His name has been given to the Birch and Swinnerton-Dyer conjecture.
Biography
Bryan John Birch was born in
Burton-on-Trent, the son of Arthur Jack and Mary Edith Birch. He was educated at Shrewsbury School and Trinity College, Cambridge
. He married Gina Margaret Christ in 1961. They have three children.
As a doctoral student at the
Hardy–Littlewood circle method
.
He then worked with
Hasse–Weil L-functions of elliptic curves. Their subsequently formulated conjecture relating the rank of an elliptic curve to the order of zero of an L-function has been an influence on the development of number theory from the mid-1960s onwards. As of 2016[update]
only partial results have been obtained.
He introduced modular symbols in about 1971.
In later work he contributed to
Gross–Zagier theorem was proved; the correspondence is now published.[1]
Birch was a visiting scholar at the Institute for Advanced Study in the fall of 1983.[2] He was elected a Fellow of the Royal Society in 1972; was awarded the Senior Whitehead Prize in 1993 and the De Morgan Medal in 2007 both of the London Mathematical Society. In 2012 he became a fellow of the American Mathematical Society.[3] In 2020 he was awarded the Sylvester Medal by the Royal Society.[4]
Selected publications
- Computers in Number Theory. (editor). London: Academic Press, 1973.
- Modular function of one variable IV (editor) with W. Kuyk. Lecture Notes in Mathematics 476. Berlin: ISBN 3-540-07392-2
- The Collected Works of Harold Davenport. (editor). London: Academic Press, 1977.
References
- OCLC 173610084.
- ^ Institute for Advanced Study: A Community of Scholars
- ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
- ^ "Sylvester medallist 2020". Awards. Royal Society. Retrieved 6 August 2020.