Yuri I. Manin

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Yuri I. Manin
Juri Manin, Ksenia Semenova.jpeg
Yuri Manin with his wife Ksenia Semenova at the ICM 2006 in Madrid
Born Yuri Ivanovitch Manin
(1937-02-16) February 16, 1937 (age 77)
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, et al.
Known for algebraic geometry, diophantine geometry
Notable awards Nemmers Prize in Mathematics (1994)
Schock Prize (1999)
Cantor Medal (2002)
Bolyai Prize (2010)

Yuri Ivanovitch Manin (Ю́рий Ива́нович Ма́нин; born 1937) is a Soviet/Russian/German[1] mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.

Life and career[edit]

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 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.

Manin had over 40 doctoral students, including Vladimir Berkovich, Mariusz Wodzicki, Alexander Beilinson, Ivan Cherednik, Alexei Skorobogatov, Vladimir Drinfeld, Mikhail Kapranov, Vyacheslav Shokurov, Arend Bayer and Victor Kolyvagin, as well as foreign students including Hà Huy Khoái, now the most senior mathematician in Vietnam. He was awarded the Brouwer Medal in 1987, 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.

Works[edit]

See also[edit]

References[edit]

  1. ^ [1] CURRICULUM VITAE at Max-Planck-Institut für Mathematik website
  2. ^ Getzler, Ezra (2001). "Review: Frobenius manifolds, quantum cohomology, and moduli spaces by Yuri I. Manin". Bull. Amer. Math. Soc. (N.S.) 38 (1): 101–108. doi:10.1090/S0273-0979-00-00888-0. 
  3. ^ Penkov, Ivan (1993). "Review: Topics in non-commutative geometry by Yuri I. Manin". Bull. Amer. Math. Soc. (N.S.) 29 (1): 106–111. doi:10.1090/S0273-0979-1993-00391-4. 
  4. ^ LeBrun, Claude (1989). "Review: Gauge field theory and complex geometry by Yuri I. Manin; trans. by N. Koblitz and J. R. King". Bull. Amer. Math. Soc. (N.S.) 21 (1): 192–196. doi:10.1090/S0273-0979-1989-15816-3. 
  5. ^ Shoenfield, J. R. (1979). "Review: A course in mathematical logic by Yu. I Manin". Bull. Amer. Math. Soc. (N.S.) 1 (3): 539–541. doi:10.1090/s0273-0979-1979-14613-5. 

External links[edit]