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Yuri I. Manin
From Wikipedia, the free encyclopedia
Yuri Ivanovitch Manin Russian: Юрий Иванович Манин (b. 1937) is a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.
Manin was born in Simferopol. He gained a doctorate in 1960 at the Steklov Mathematics Institute as a student of Igor Shafarevich. He is now a Professor and Director of the Max-Planck-Institut für Mathematik in Bonn, and a professor at Northwestern University.
Manin's early work included papers on the arithmetic and formal groups of abelian varieties, the Mordell conjecture in the function field case, and algebraic differential equations. The Gauss-Manin connection is a basic ingredient of the study of cohomology in families of algebraic varieties. He wrote an influential book on cubic surfaces and cubic forms, showing how to apply both classical and contemporary methods of algebraic geometry, as well as nonassociative algebra. He also indicated the role of the Brauer group, via Grothendieck's theory of global Azumaya algebras, in accounting for obstructions to the Hasse principle, setting off a generation of further work. He has also written on Yang-Mills theory, quantum information, and mirror symmetry.
Manin had over 40 doctoral students, including Alexander Beilinson, Vladimir Drinfeld, Vyacheslav Shokurov and Victor Kolyvagin. He was awarded the Schock Prize in 1999 and the Cantor Medal in 2002.
- Yuri I. Manin at the Mathematics Genealogy Project
- Good Proofs are Proofs that Make us Wiser, interview by Martin Aigner and Vasco A. Schmidt
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