Bryan John Birch

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Bryan John Birch
Burton-upon-Trent, England
NationalityBritish
Alma materTrinity College, Cambridge
Known forBirch and Swinnerton-Dyer conjecture
Birch–Tate conjecture
Birch's theorem
Heegner point
Modular symbol
AwardsSenior Whitehead Prize (1993)
De Morgan Medal (2007)
Sylvester Medal (2020)
Scientific career
FieldsMathematics
InstitutionsUniversity of Oxford
Doctoral advisorJ. W. S. Cassels
Doctoral studentsKaye 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
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

References

External links