|
Prof. Dr. (em.) Yuri Ivanovich Manin |
|||||||||||||||||||||||||||||
|
|
||||||||||||||||||||||||||||
| Academic Career | |||||||||||||||||||||||||||||
|
|||||||||||||||||||||||||||||
| Awards | |||||||||||||||||||||||||||||
|
|||||||||||||||||||||||||||||
| Invited Lectures | |||||||||||||||||||||||||||||
|
|||||||||||||||||||||||||||||
| Editorships | |||||||||||||||||||||||||||||
|
• 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) |
|||||||||||||||||||||||||||||
| Research Profile | |||||||||||||||||||||||||||||
|
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. |
|||||||||||||||||||||||||||||
| Selected PhD students | |||||||||||||||||||||||||||||
|
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 |
|||||||||||||||||||||||||||||
|
|||||||||||||||||||||||||||||
| Selected Publications | |||||||||||||||||||||||||||||
|
[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 [4] Yuri Manin, Matilde Marcolli Kolmogorov complexity and the asymptotic bound for error-correcting codes J. Differential Geom. , 97: (1): 91--108 2014 File: http://http://projecteuclid.org/euclid.jdg/1404912104 [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 [11] K. Behrend, Yu. Manin Stacks of stable maps and Gromov-Witten invariants Duke Math. J. , 85: (1): 1--60 1996 DOI: 10.1215/S0012-7094-96-08501-4 [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 |
|||||||||||||||||||||||||||||
| Publication List | |||||||||||||||||||||||||||||
