Yuri I. Manin

Yuri Ivanovitch Manin
Yuri Manin at the ICM 2006 in Madrid
Born	February 16, 1937 (1937-02-16) Simferopol, Soviet Union
Residence	Germany
Nationality	Russian/German
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, Alexei Skorobogatov, Vladimir Drinfeld, Vyacheslav Shokurov, Victor Kolyvagin et al.
Known for	algebraic geometry, diophantine geometry
Notable awards	Schock Prize (1999) Cantor Medal (2002) Nemmers Prize in Mathematics (1994) Bolyai Prize (2010)

Yuri Ivanovitch Manin (Russian: Ю́рий Ива́нович Ма́нин; born 1937, Simferopol) 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.

Biography

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 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 Vladimir Berkovich, Mariusz Wodzicki, Alexander Beilinson, Ivan Cherednik, Alexei Skorobogatov, Vladimir Drinfeld, Vyacheslav Shokurov, Arend Bayer and Victor Kolyvagin. He was awarded the Schock Prize in 1999 and the Cantor Medal in 2002. In 1994, he was awarded the Nemmers Prize in Mathematics. In 2010, he received the Bolyai Prize of the Hungarian Academy of Sciences .

See also

• Manin-Mumford conjecture
• Manin obstruction
• Arithmetic topology

External links

• Yuri I. Manin at the Mathematics Genealogy Project.
• Manin's page at Max-Planck-Institut für Mathematik website
• Good Proofs are Proofs that Make us Wiser, interview by Martin Aigner and Vasco A. Schmidt
• Biography