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| 1960 | PhD, Steklov Mathematical Institut, Moscow | | 1963 | Habilitation, Steklov Mathematical Institut, Moscow | | 1960 | Principal researcher, Steklov Mathematical Institut, Moscow | | 1965--1992 | Professor, Algebra, Moscow University | | 1992--1993 | Professor, MIT | | 1993--2005 | Director of the Max Planck Institute, Bonn | | 2002-- | Professor, Northwestern University, Evanston, US | | 2005-- | Professor emeritus, Max Planck Institute, Bonn |
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Algebra and algebraic geometry, mathematical physics , non-commutative geometry
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[ 1] Arend Bayer, Yu. I. Manin
Stability conditions, wall-crossing and weighted Gromov-Witten invariants
Mosc. Math. J. , 9: (1): 3--32, backmatter
2009
ISSN: 1609-3321[ 2] Franz Luef, Yuri I. Manin
Quantum theta functions and Gabor frames for modulation spaces
Lett. Math. Phys. , 88: (1-3): 131--161
2009
ISSN: 0377-9017
DOI: 10.1007/s11005-009-0306-7[ 3] Yu. I. Manin
Hypersurfaces cubiques. II. Automorphismes birationnels en dimension deux
Invent. Math. , 6: : 334--352
1969
ISSN: 0020-9910[ 4] Jens Franke, Yuri I. Manin, Yuri Tschinkel
Erratum: ``Rational points of bounded height on Fano varieties" [Invent.\ Math.\ \bf 95 (1989), no.\ 2, 421--435; MR0974910 (89m:11060)]
Invent. Math. , 102: (2): 463
1990
ISSN: 0020-9910
DOI: 10.1007/BF01233436[ 5] M. Kontsevich, Yu. Manin
Gromov-Witten classes, quantum cohomology, and enumerative geometry [ MR1291244 (95i:14049)]
Mirror symmetry, II
of AMS/IP Stud. Adv. Math. : 607--653
Publisher: Amer. Math. Soc., Providence, RI
1997[ 6] M. Kontsevich, Yu. Manin
Quantum cohomology of a product
With an appendix by R. Kaufmann
Invent. Math. , 124: (1-3): 313--339
1996
ISSN: 0020-9910
DOI: 10.1007/s002220050055[ 7] K. Behrend, Yu. Manin
Stacks of stable maps and Gromov-Witten invariants
Duke Math. J. , 85: (1): 1--60
1996
ISSN: 0012-7094
DOI: 10.1215/S0012-7094-96-08501-4[ 8] Sergei I. Gelfand, Yuri I. Manin
Methods of homological algebra
Springer Monographs in Mathematics : xx+372
Publisher: Springer-Verlag, Berlin
2003
ISBN: 3-540-43583-2[ 9] Yuri I. Manin
Theta functions, quantum tori and Heisenberg groups
EuroConférence Moshé Flato 2000, Part III (Dijon)
Lett. Math. Phys. , 56: (3): 295--320
2001
ISSN: 0377-9017
DOI: 10.1023/A:1017909525397[ 10] Yuri I. Manin, Matilde Marcolli
Continued fractions, modular symbols, and noncommutative geometry
Selecta Math. (N.S.) , 8: (3): 475--521
2002
ISSN: 1022-1824
DOI: 10.1007/s00029-002-8113-3[ 11] A. Losev, Yu. Manin
Extended modular operad
Frobenius manifolds
Aspects Math., E36 : 181--211
Publisher: Vieweg, Wiesbaden
2004 |
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| 1963 | Moscow Mathematical Society Award | | 1967 | Highest USSR National Prize (Lenin Prize) | | 1987 | Brouwer Gold Medal | | 1994 | Frederic Esser Nemmers Prize | | 1999 | Rolf Schock Prize | | 2002 | King Faisal Prize for Mathematics | | 2002 | Georg Cantor Medal of the German Mathematical Society | | 2007 | Pour le m'erite | | 2008 | Bundesverdienstkreuz |
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Int. Math. Research Notes, Duke Math. J., Theoretical and Math. Phys., Invent. Math. (1966--1978), Amer. J. Math., Crelle J. für die reine u. angew. Math..
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Research Area C
The foundations of quantum cohomology of algebraic varieties have been developed by Kontsevich, Manin, Pandharipande, and many others some 15 years ago. Variants and the finer structure are currently investigated. In [1] weighted stable curves are generalized to weighted stable maps and wall crossing phromena are studied in the space of stability conditions. In [2] signal analysis and non-commutative geometry are brought together. | Research Area L
In joint work with Marcolli error-correcting codes have been related to the asymptotic bound to phase diagrams of quantum statistical mechanical systems. In a series of papers it is argued that infinities in classical computation theory can be addressed in the same way as Feynman divergences, and that meaningful versions of renormalization in this context can be devised. |
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A. Beilinson (now Chicago); V. Drinfeld (now Chicago); Y. Z, M. Kapranov (now Yale); Y. Zarhin (now Penn State), Y. Tschinkel (now NYU), R. Kaufmann (now Perdue); A. Bayer (now Connecticut)
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- PhD theses: 51, currently 3
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