Fields of 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).
Error-correcting 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.
Education
1968-71 Moscow Mathematical Highschool 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 (i.e., Aspirant) , Chair of Algebra, Dept. of
Mathematics, Moscow State University, Russia
(under supervision of Professor Yu.I.Manin)
Degrees
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 (i.e., Russian Degree of Candidate of
Sciences in Physics and 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 (i.e., Russian Degree of Doctor
of Sciences in Physics and 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
Publications
Books (author)
Del Pezzo Surfaces of Degree Four (with
B.E.Kunyavskii and A.N.Skorobogatov);
Algebraic Geometric Codes (with S.G.Vladut).
Books (editor) Coding Theory and Algebraic
Geometry (with
H.Stichtenoth).
About 60 research papers on algebraic
geometry, number theory, error-
correcting codes, lattices and packings.
Editorial Boards
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.
Professional Experience
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 (i.e., Doctorant),
Institute for Information Transmission Problems (IPPI),
Moscow
1990-now Leading Research Fellow, Dobrushin Mathematics Lab.,
Institute for Information Transmission Problems (IPPI),
Russian Academy of Sciences, Moscow
1991-now (part-time) Research Director, Institut de Mathematiques de Lumini, National Scientific Research
Center (CNRS), Marseille, France
1998-now (part-time) Vice-President and Full Professor, Independent Moscow University
Temporary Positions
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
Teaching experience
1994-95 Graduate course in the Moscow
State University
1996-now Graduate school of the Institute
for Information
Transmission Problems (IPPI)
1997 University of Michigan, Ann Arbor, USA
1998-now Independent Moscow University
Seminar and colloquium talks
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, MaxPlank Inst., Bonn), in France
("Algebraic Geometry and Coding Theory-3"), in
Switzerland ("Journees Arithmetiques", Geneva), in 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 (Marseille), Germany ("Methods of Discrete Math.", Braunschweig)
| | | | | | | | | | 2000 France (marseille), Greece ("Curves and Abelian Varieties over Finite Fields", Cretos)