Yu. Manin
| Yuri Manin | |
|---|---|
|
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| Born | Yuri Ivanovitch Manin February 16, 1937 Simferopol, Soviet Union |
| Residence | Germany |
| Nationality | Russia |
| Fields | Mathematician |
| Institutions |
Max-Planck-Institut für Mathematik Northwestern University |
| Alma mater |
Moscow State University Steklov Mathematics Institute (PhD) |
| Doctoral advisor | Igor Shafarevich |
| Doctoral students | Alexander Beilinson, Vladimir Drinfeld, Vasily Iskovskih, Mikhail Kapranov, Victor Kolyvagin, Vyacheslav Shokurov, Alexei Skorobogatov, Mariusz Wodzicki, et al. |
| Known for | algebraic geometry, diophantine geometry |
| Notable awards | Nemmers Prize in Mathematics (1994) Schock Prize (1999) Cantor Medal (2002) Bolyai Prize (2010) King Faisal International Prize (2002) |
Yuri Ivanovitch Manin (Russian: Ю́рий Ива́нович Ма́нин; born 1937) is a Soviet/Russian/German mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics. Moreover, Manin was the first to propose a quantum computer in 1980 with his paper "Computable and Uncomputable".
Manin gained a doctorate in 1960 at the Steklov Mathematics Institute as a student of Igor Shafarevich. He is now a Professor at 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 a 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 also formulated the Manin conjecture, which predicts the asymptotic behaviour of the number of rational points of bounded height on algebraic varieties. He has further written on Yang–Mills theory, quantum information, and mirror symmetry.
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