Languages Russian, English, French
Current positions Research
Director, Institut de Mathématiques de Luminy, CNRS, Marseille,
Vice President, Independent University of Moscow, Russia
Leading Research Fellow, Institute for Information Transmission Problems, Moscow, Russia
Editor-in-Chief, Moscow Mathematical Journal
Expertise Algebraic geometry, with
emphasis on its relation to number theory (varieties over non-algebraically closed fields, especially
over finite fields and number
fields, parallelism between the function field case and the number field case,
curves, rational varieties, rational points and zero-cycles, elliptic
curves and abelian varieties, towers of varieties and asymptotic theory).
Number theory (global fields, zeta-functions, infinite global fields and asymptotic theory).
Error-correcting codes (including quantum codes), with emphasis on algebraic geometry and number theory methods.
Lattices and sphere packings, their relation to codes, number fields, and algebraic varieties.
Other Fields of Interest Arithmetic geometry, number theory, complex algebraic geometry, singularities, K-theory, information theory.
1968-71 Moscow Mathematical high school number 2
1971-76 Undergraduate, Chair of Algebra, Dept. of Math., Moscow State University, Russia
(under supervision of Professors I.R.Shafarevich and A.N.Parshin)
1979-82 Graduate, Chair of Algebra, Dept. of Mathematics, Moscow State University, Russia
(under supervision of Professor Yu.I.Manin)
1976 Master Degree in Mathematics, Moscow State University, Russia
Thesis: Very Special Abelian Varieties
Advisor: Professor A.N.Parshin
Official referee: Professor F.A.Bogomolov
1983 Ph.D. in Mathematics, Leningrad Dept. of Steklov Math. Inst. (LOMI)
Thesis: Rational Points on Algebraic Curves and Surfaces
Advisor: Professor Yu.I.Manin
Official referees: Professors V.E.Voskresenskii and B.B.Venkov
1991 State Doctor in Mathematics, Institute for Information Transmission Problems (IPPI) and
Highest State Attestation Committee
Thesis: Global Fields, Error-Correcting Codes and Sphere Packings
Official referees: Professors V.E.Voskresenskii, V.I.Levenshtein, and V.I.Yanchevskii
Books (author) Del Pezzo Surfaces of Degree Four (with B.E.Kunyavskii and A.N.Skorobogatov);
Algebraic Geometric Codes (with S.G.Vladuts);
Algebraic Geometry and Number Theory: Rational and Elliptic Curves (with V.V.Ostrik);
Algebraic Geometry Codes: Basic Notions (with D.Yu.Nogin and S.G.Vladuts).
Books (editor) Coding Theory and Algebraic Geometry (with H.Stichtenoth);
Collected Papers of J.-P.Serre (in Russian).
About 60 research papers, mostly on algebraic geometry, number theory, error-correcting codes, lattices and packings.
1995 Special issue on Algebraic Geometry Codes of IEEE Transactions on Information Theory (invited editor);
1995-now Finite Fields and Their Applications.
2001-now Moscow Mathematical Journal (editor-in-chief)
Prizes and Awards
Second Prize at the World Math. Olympics 1971.
IEEE Information Theory Group Best Paper Award 1984.
1976-79 Mathematics and Computer Science Engineer,
Institute for Electricity and Energetics, Moscow
1983-85 Senior Researcher and Mathematics Advisor,
Institute for Problems of Design, Moscow
1985-88 Head of Mathematics Department,
Institute for Development of Moscow City, Moscow
1988-90 Habilitation Fellow,
Institute for Information Transmission Problems (IPPI),
1990-now Leading Research Fellow, Dobrushin Mathematics Lab.,
Institute for Information Transmission Problems (IPPI),
Russian Academy of Sciences, Moscow
1998-now Vice-President and Full Professor, Independent Moscow University
2001-now Research Director, Institut de Mathematiques de Lumini, National Scientific Research
Center (CNRS), Marseille, France
Temporary Positions held
1989, 90 Univ. Paris-7, France
1990 Techn. Univ. of Lyngby, Danmark
1991 Univ. of Essen, Germany
Harvard Univ., USA
1992 Univ. of Sussex, U.K.
Technical Univ. of Eindhoven, Netherlands
1996 Univ. of Amsterdam, Netherlands
1997 Univ. of Michigan, USA
1991-2001 Institut de Mathematiques de Lumini, France
1994-95 Graduate course in the Moscow State University
1996-now Graduate school of the Institute for Information Transmission Problems
1997 University of Michigan, Ann Arbor, USA
1998-now Independent Moscow University
2001-now Graduate school of Marseille universities
1973-now About 60 invited talks at Moscow seminars run by Yu.I.Manin, I.R.Shafarevich, A.A.Beilinson, I.Dolgachev, V.A.Iskovskih, R.L.Dobrushin, L.A.Bassalygo, S.A.Stepanov, V.I.Levenshtein, etc.
1979-92 Invited talks at several conferences in Russia
1989 France ("Journees Arithmetiques"- plenary address, AAECC conference in Toulouse, "Algebraic Geometry and Coding Theory - 2")
1990 USA (Harvard, Berkeley, Univ. of Pennsylvania, Rochester, Ann Arbor, Chapel Hill, NYCU, Univ. of Puerto Rico, IBM Watson Labs, Bellcore Labs), France (Paris-7, Nice), Danmark (Lyngby)
1991 Spain (Univ. Complutense Madrid, Univ.Valladolid), Germany (Univ. Essen, Max-Plank Inst., Bonn), France ("Algebraic Geometry and Coding Theory-3"), Switzerland ("Journees Arithmetiques", Geneva), USA (Harvard, Yale, Stony Brook).
1992 England (Univ. of Sussex, Oxford), France (Marseille, Paris), Netherlands (Amsterdam, Eindhoven)
1993 France ("Algebraic Geometry and Coding Theory-4", Marseille, Paris), invited session chairman and invited talk at ISIT IEEE (USA, San Antonio), invited talk at IWIT IEEE (Japan)
1994 France (Marseille, Paris, Caen), Israel (Tel Aviv Univ., Weizmann Inst.)
1995 France ("Algebraic Geometry and Coding Theory-5"; Orsay; Grenoble)
1996 France (Paris, Marseille)
1997 France ("Algebraic Geometry and Coding Theory-6", Marseille), USA (Ann Arbor)
1998 France (Marseille), Italy (Rome)
1999 France ("Algebraic Geometry and Coding Theory-7"), Germany ("Methods of Discrete Math.", Braunschweig)
2000 France (Marseille), Greece ("Curves and Abelian Varieties over Finite Fields", Cretos), Russia ("Globus")
2001 France ("Algebraic Geometry and Coding Theory-8"), Mexico ("Finite Fields - 6"), Russia ("Fundamental Mathematics Today")
2002 France (Paris), Russia ("Globus")
2003 France (Bordeaux, "Algebraic Geometry and Coding Theory-9", Limoges)