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- Bryan_John_Birch abstract "Bryan John Birch F.R.S. (born 25 September 1931) is a British mathematician. His name has been given to the Birch and Swinnerton-Dyer conjecture.He 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 University of Cambridge, he was officially working under J. W. S. Cassels. More influenced by Harold Davenport, he proved Birch's theorem, one of the results to come out of the Hardy–Littlewood circle method; it shows that odd-degree rational forms in a large enough set of variables must have zeroes. He then worked with Peter Swinnerton-Dyer on computations relating to the 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 was an influence on the development of number theory from the mid-1960s onwards. He introduced modular symbols in about 1971. As of 2006 only partial results have been obtained.In later work he contributed to algebraic K-theory (Birch–Tate conjecture). He then formulated ideas on the role of Heegner points (he had been one of those reconsidering Kurt Heegner's original work, on the class number one problem, which had not initially regained acceptance). Birch put together the context in which the Gross–Zagier theorem was proved; the correspondence is now published.Birch was a visiting scholar at the Institute for Advanced Study in the fall of 1983. 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.".
- Bryan_John_Birch almaMater University_of_Cambridge.
- Bryan_John_Birch award De_Morgan_Medal.
- Bryan_John_Birch award Senior_Whitehead_Prize.
- Bryan_John_Birch birthDate "1931-09-25".
- Bryan_John_Birch birthPlace Burton-upon-Trent.
- Bryan_John_Birch birthPlace Burton_upon_Trent.
- Bryan_John_Birch birthYear "1931".
- Bryan_John_Birch doctoralAdvisor J._W._S._Cassels.
- Bryan_John_Birch doctoralStudent Anthony_Scholl.
- Bryan_John_Birch doctoralStudent John_Cremona.
- Bryan_John_Birch doctoralStudent John_Merriman_(mathematician).
- Bryan_John_Birch field Mathematics.
- Bryan_John_Birch influencedBy Harold_Davenport.
- Bryan_John_Birch knownFor Birch_and_Swinnerton-Dyer_conjecture.
- Bryan_John_Birch nationality United_Kingdom.
- Bryan_John_Birch thumbnail Bryan_Birch_2011.png?width=300.
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- Bryan_John_Birch wikiPageWikiLink Academic_Press.
- Bryan_John_Birch wikiPageWikiLink Algebraic_K-theory.
- Bryan_John_Birch wikiPageWikiLink American_Mathematical_Society.
- Bryan_John_Birch wikiPageWikiLink Anthony_Scholl.
- Bryan_John_Birch wikiPageWikiLink Birch_and_Swinnerton-Dyer_conjecture.
- Bryan_John_Birch wikiPageWikiLink Birchs_theorem.
- Bryan_John_Birch wikiPageWikiLink Birch–Tate_conjecture.
- Bryan_John_Birch wikiPageWikiLink Burton-on-Trent.
- Bryan_John_Birch wikiPageWikiLink Burton-upon-Trent.
- Bryan_John_Birch wikiPageWikiLink Burton_upon_Trent.
- Bryan_John_Birch wikiPageWikiLink Category:1931_births.
- Bryan_John_Birch wikiPageWikiLink Category:20th-century_British_mathematicians.
- Bryan_John_Birch wikiPageWikiLink Category:21st-century_British_mathematicians.
- Bryan_John_Birch wikiPageWikiLink Category:Alumni_of_Trinity_College,_Cambridge.
- Bryan_John_Birch wikiPageWikiLink Category:Fellows_of_Brasenose_College,_Oxford.
- Bryan_John_Birch wikiPageWikiLink Category:Fellows_of_the_American_Mathematical_Society.
- Bryan_John_Birch wikiPageWikiLink Category:Fellows_of_the_Royal_Society.
- Bryan_John_Birch wikiPageWikiLink Category:Institute_for_Advanced_Study_visiting_scholars.
- Bryan_John_Birch wikiPageWikiLink Category:Living_people.
- Bryan_John_Birch wikiPageWikiLink Class_number_one_problem.
- Bryan_John_Birch wikiPageWikiLink Class_number_problem.
- Bryan_John_Birch wikiPageWikiLink De_Morgan_Medal.
- Bryan_John_Birch wikiPageWikiLink Elliptic_curve.
- Bryan_John_Birch wikiPageWikiLink Fellow_of_the_Royal_Society.
- Bryan_John_Birch wikiPageWikiLink Gross–Zagier_theorem.
- Bryan_John_Birch wikiPageWikiLink Hardy–Littlewood_circle_method.
- Bryan_John_Birch wikiPageWikiLink Harold_Davenport.
- Bryan_John_Birch wikiPageWikiLink Hasse–Weil_L-function.
- Bryan_John_Birch wikiPageWikiLink Hasse–Weil_zeta_function.
- Bryan_John_Birch wikiPageWikiLink Heegner_point.
- Bryan_John_Birch wikiPageWikiLink Institute_for_Advanced_Study.
- Bryan_John_Birch wikiPageWikiLink J._W._S._Cassels.
- Bryan_John_Birch wikiPageWikiLink John_Cremona.
- Bryan_John_Birch wikiPageWikiLink John_Merriman_(mathematician).
- Bryan_John_Birch wikiPageWikiLink Kurt_Heegner.
- Bryan_John_Birch wikiPageWikiLink London_Mathematical_Society.
- Bryan_John_Birch wikiPageWikiLink Mathematician.
- Bryan_John_Birch wikiPageWikiLink Mathematics.
- Bryan_John_Birch wikiPageWikiLink Modular_symbol.
- Bryan_John_Birch wikiPageWikiLink Number_theory.
- Bryan_John_Birch wikiPageWikiLink Peter_Swinnerton-Dyer.
- Bryan_John_Birch wikiPageWikiLink Rank_of_an_elliptic_curve.
- Bryan_John_Birch wikiPageWikiLink Royal_Society.
- Bryan_John_Birch wikiPageWikiLink Senior_Whitehead_Prize.
- Bryan_John_Birch wikiPageWikiLink Springer_Science+Business_Media.
- Bryan_John_Birch wikiPageWikiLink Springer_Verlag.
- Bryan_John_Birch wikiPageWikiLink Trinity_College,_Cambridge.
- Bryan_John_Birch wikiPageWikiLink United_Kingdom.
- Bryan_John_Birch wikiPageWikiLink University_of_Cambridge.
- Bryan_John_Birch wikiPageWikiLink University_of_Oxford.
- Bryan_John_Birch wikiPageWikiLinkText "Birch, Bryan John".
- Bryan_John_Birch wikiPageWikiLinkText "Bryan Birch".
- Bryan_John_Birch wikiPageWikiLinkText "Bryan John Birch".
- Bryan_John_Birch almaMater University_of_Cambridge.
- Bryan_John_Birch awards "De Morgan Medal".
- Bryan_John_Birch awards "Senior Whitehead Prize".
- Bryan_John_Birch birthDate "1931-09-25".
- Bryan_John_Birch birthPlace Burton-upon-Trent.
- Bryan_John_Birch birthPlace Burton_upon_Trent.
- Bryan_John_Birch dateOfBirth "1931-09-25".
- Bryan_John_Birch doctoralAdvisor J._W._S._Cassels.
- Bryan_John_Birch doctoralStudents Anthony_Scholl.
- Bryan_John_Birch doctoralStudents John_Cremona.
- Bryan_John_Birch doctoralStudents John_Merriman_(mathematician).
- Bryan_John_Birch fields Mathematics.
- Bryan_John_Birch hasPhotoCollection Bryan_John_Birch.
- Bryan_John_Birch imageSize "250".
- Bryan_John_Birch influences Harold_Davenport.
- Bryan_John_Birch knownFor Birch_and_Swinnerton-Dyer_conjecture.
- Bryan_John_Birch name "Birch, Bryan John".
- Bryan_John_Birch name "Bryan John Birch".
- Bryan_John_Birch nationality United_Kingdom.
- Bryan_John_Birch placeOfBirth Burton-upon-Trent.
- Bryan_John_Birch placeOfBirth Burton_upon_Trent.
- Bryan_John_Birch shortDescription "British mathematician".
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