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| 1960 | PhD, Steklov Mathematical Institute, Moscow, Russia | | 1963 | Habilitation, Steklov Mathematical Institute, Moscow, Russia | | 1960 - 1993 | Principal Researcher, Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia | | 1965 - 1992 | Professor (Algebra Chair), University of Moscow, Russia | | 1992 - 1993 | Professor, Massachusetts Institute of Technology, Cambridge, MA, USA | | 1993 - 2005 | Scientific Member, Max Planck Institute for Mathematics, Bonn | | 1995 - 2005 | Director, Max Planck Institute for Mathematics, Bonn | | 2002 - 2011 | Board of Trustees Professor, Northwestern University, Evanston, IL, USA | | Since 2005 | Professor Emeritus, Max Planck Institute for Mathematics, Bonn | | Since 2011 | Professor Emeritus, Northwestern University, Evanston, IL, USA |
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Currently I work on several projects, new or continuing former ones. They include:
• development and understanding of recently discovered by me “zeta polynomials”, conjecturally producing Euler factors of Mellin transforms of cusp forms “in characteristic one”.
• developing the theory of non-commutative modular symbols and Dedekind symbols.
• studying the motivic properties of moduli spaces and non-commutative modular symbols.
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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
DOI: 10.17323/1609-4514-2009-9-1-3-32[ 2] Franz Luef, Yuri I. Manin
Quantum theta functions and Gabor frames for modulation spaces
Lett. Math. Phys. , 88: (1-3): 131--161
2009
DOI: 10.1007/s11005-009-0306-7[ 3] Yuri Manin, Matilde Marcolli
Symbolic dynamics, modular curves, and Bianchi IX cosmologies
Ann. Fac. Sci. Toulouse Math. (6) , 25: (2-3): 517--542
2016
DOI: 10.5802/afst.1503[ 5] Yu. I. Manin
Zipf's law and Levin probability distributions
Funktsional. Anal. i Prilozhen. , 48: (2): 51--66
2014
DOI: 10.1007/s10688-014-0052-1[ 6] Yuri I. Manin
Renormalisation and computation II: time cut-off and the halting problem
Math. Structures Comput. Sci. , 22: (5): 729--751
2012
DOI: 10.1017/S0960129511000508[ 8] Jens Franke, Yuri I. Manin, Yuri Tschinkel
Erratum: â??Rational points of bounded height on Fano varietiesâ?? [Invent. Math. 95(1989), no. 2, 421--435; MR0974910 (89m:11060)]
Invent. Math. , 102: (2): 463
1990
DOI: 10.1007/BF01233436[ 9] 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[ 10] M. Kontsevich, Yu. Manin
Quantum cohomology of a product
With an appendix by R. Kaufmann
Invent. Math. , 124: (1-3): 313--339
1996
DOI: 10.1007/s002220050055[ 12] 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
DOI: 10.1007/978-3-662-12492-5[ 13] 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
DOI: 10.1023/A:1017909525397[ 14] Yuri I. Manin, Matilde Marcolli
Continued fractions, modular symbols, and noncommutative geometry
Selecta Math. (N.S.) , 8: (3): 475--521
2002
DOI: 10.1007/s00029-002-8113-3[ 15] A. Losev, Yu. Manin
Extended modular operad
Frobenius manifolds
Aspects Math., E36 : 181--211
Publisher: Friedr. Vieweg, Wiesbaden
2004 |
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• Mathematical Sbornik (Member, Editorial and Advisory Boards)
• Uspekhi Mat. Nauk
• Inventiones Math.
• Duke Mathematical Journal
• Functional Analysis and its Applications
• Crelle's Journal
• Journal of Number Theory
• Journal of Geometry and Physics
• Advances of Math.
• International Journal of Mathematics
• American Journal of Mathematics
• Algebra and Number Theory et al. (various years)
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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 | | 1999 | Doctor honoris causa, University of Paris VI (Université Pierre et Marie Curie), Sorbonne, France | | 2002 | King Faisal Prize for Mathematics | | 2002 | Georg Cantor Medal of the German Mathematical Society | | 2002 | Abel Bicentennial Doctor Phil. honoris causa, University of Oslo, Norway | | 2006 | Doctor honoris causa, University of Warwick, England, UK | | 2007 | Order Pour le Mérite, Germany | | 2008 | Great Cross of Merit with Star, Germany | | 2010 | János Bolyai International Mathematical Prize | | 2011 | Honorary Member, London Mathematical Society |
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| 1966 | International Congress of Mathematicians, Moscow, Russia | | 1970 | International Congress of Mathematicians, Nice, France | | 1978 | International Congress of Mathematicians, Helsinki, Finland | | 1986 | International Congress of Mathematicians, Berkeley, CA, USA | | 1990 | International Congress of Mathematicians, Kyoto, Japan | | 2006 | International Congress of Mathematicians, special activity, Madrid, Spain |
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Vasili Iskovskih (1968)
Yuri Zarkhin (1975): “Tate's conjectures for abelian varieties in finite characteristic”
Vladimir Drinfeld (1978),
now Harry Pratt Judson Distinguished Service Professor, University of Chicago, IL, USA
Alexei Panchishkin (1979): “Convolutions of Mdular Forms of Integral and Half Integral Weight”,
now Professor, Institut Fourier, Grenoble University I
Mikhail Vishik (1980),
now Professor, University of Texas, Austin, TX, USA
Ivan Penkov (1987): “Typical Modules over Classical Lie Superalgebras and their Geometric Realizations”,
now Professor, Jacobs University Bremen
Alexander Voronov (1988),
now Professor, University of Minnesota-Minneapolis, MN, USA
Yuri Tschinkel (1992): “Arithmetic of Algebraic Surfaces”,
now Professor, New York University, NY, USA
Arend Bayer (2006): “Semisimple Quantum Cohomology, Deformations of Stability Conditions and the Derived Category”,
now Reader, University of Edinburgh, Scotland, UK
Alexander Beilinson,
now David and Mary Winton Green University Professor, University of Chicago, IL, USA
Ivan Cherednik,
now Austin M. Carr Distinguished Professor, University of North Carolina at Chapel Hill, NC, USA
Mikhail Kapranov
Vladimir Berkovich,
now Professor, Weizmann Institute of Science, Israel
Alexei Skorobogatov,
now Professor, Imperial College London, England, UK
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