Birch | Danny Dyer | birch | Birch Bayh | Wayne Dyer | John Birch Society | Buddy Dyer | Ion Birch | Goldbach's conjecture | Thora Birch | Richard Dyer | Simon Birch | Martin Birch | Geoff Dyer | Elinor Brent-Dyer | Diane Birch | David Catlin-Birch | Birch Creek, Wisconsin | Birch Creek | Reginald Dyer | ''n''! conjecture | n! conjecture | Much Birch | Martin Dyer | Kato's conjecture | John Birch | Jack M. Dyer | Jack Dyer | Edna Birch | Dyer |
He contributed to p-adic Hodge theory, logarithmic geometry (he was one of its creators together with Jean-Marc Fontaine and Luc Illusie), comparison conjectures, special values of zeta functions including the Birch-Swinnerton-Dyer conjecture and Bloch-Kato conjecture on Tamagawa numbers, Iwasawa theory, and many others.
The third describes 38 important mathematical problems and theorems such as the four color theorem, the Birch and Swinnerton-Dyer conjecture, and the Halting problem.
The Birch and Swinnerton-Dyer conjecture (BSD) is one of the Millennium problems of the Clay Mathematics Institute.