Bryan John Birch

Bryan John Birch FRS (born 25 September 1931) is a British mathematician.More influenced by Harold Davenport, he proved Birch's theorem, one of the results to come out of the Hardy–Littlewood circle method.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 has been an influence on the development of number theory from the mid-1960s onwards.Birch put together the context in which the Gross–Zagier theorem was proved; the correspondence is now published.
Burton-upon-TrentTrinity College, CambridgeBirch and Swinnerton-Dyer conjectureBirch–Tate conjectureBirch's theoremHeegner pointModular symbolSenior Whitehead PrizeDe Morgan MedalSylvester MedalMathematicsUniversity of OxfordDoctoral advisorJ. W. S. CasselsKaye StaceyBurton-on-TrentUniversity of CambridgeHarold DavenportHardy–Littlewood circle methodPeter Swinnerton-DyerHasse–Weil L-functionselliptic curvesrank of an elliptic curvenumber theorymodular symbolsalgebraic K-theoryHeegner pointsKurt Heegnerclass number one problemGross–Zagier theoremInstitute for Advanced StudyLondon Mathematical SocietyAmerican Mathematical SocietyRoyal SocietyAcademic PressSpringer VerlagMathematics Genealogy ProjectDe Morgan MedallistsArthur CayleyJames Joseph SylvesterLord RayleighFelix KleinS. RobertsWilliam BurnsideA. G. GreenhillH. F. BakerJ. W. L. GlaisherHorace LambJ. LarmorW. H. YoungE. W. HobsonP. A. MacMahonA. E. H. LoveGodfrey Harold HardyBertrand RussellE. T. WhittakerJ. E. LittlewoodLouis MordellSydney ChapmanGeorge Neville WatsonA. S. BesicovitchE. C. TitchmarshG. I. TaylorW. V. D. HodgeMax NewmanPhilip HallMary CartwrightKurt MahlerGraham HigmanC. Ambrose RogersMichael AtiyahK. F. RothD. G. KendallAlbrecht FröhlichW. K. HaymanR. A. RankinJ. A. GreenRoger PenroseKeith William MortonJohn Griggs ThompsonTimothy GowersAndrew Wiles