Vladimir Igorevich ARNOLD

Address:

Steklov Mathematical Institute
42, Vavilova Street
117966-GSP-1 Moscow
Russia

Phone: (7) 095-135 1490 / 135 2291
Fax: (7)095 - 135 05 55
E-Mail: arnold@class.mi.ras.ru

from Jan - July:
CEREMADE
Univ. Paris IX - Dauphine
Place du Marechal de Lattre de Tassigny
F-75775 Paris Cedex 16
France

Phone: (33) 01 44 05 48 72
Fax: 01 44 05 45 99
E-Mail:arnold@paris9.dauphine.fr or arnold@ceremade.dauphine.fr

Born:

June 12, 1937, Odessa, U.S.S.R.

Education:

1954 - 1961 Faculty of Mechanics and Mathematics, Lomonosov University, Moscow, U.S.S.R.
1961 Candidate Phys.-Math Sci. at the Institute of Applied Mathematics, Moscow
1963 Ph.D., Institute of Applied Mathematics, Moscow

Positions:

1961 - 1965 Assistant, Faculty of Mechanics and Mathematics, Lomonosov University, Moscow
1965 - 1986 Professor, Faculty of Mechanics and Mathematics, Lomonosov University, Moscow
1986 - Steklov Institute of Mathematics, Moscow
1993 - CEREMADE, University Paris-Dauphine
1995 - 1998 Vice-President, International Mathematical Union

Selected Awards, Honours and Distinctions:

1958 Award of the Mathematical Society of Moscow
1965 Lenin Award of the Government of the U.S.S.R.
1976 Honorary Member, London Mathematical Society
1979 Honorary Doctor, University P. and M. Curie, Paris
1982 Carfoord Award of the Swedish Academy
1983 Foreign Member, National Academy, U.S.A.
1984 Foreign Member, Academy of Sciences, Paris
1987 Foreign Member, Academy of Arts and Sciences, U.S.A.
1988 Honorary Doctor, Warwick University, Coventry
1988 Foreign Member, Royal Soc. London, GB
1988 Foreign Member, Accademia Nazionale dei Lincei, Rome, Italy
1990 Member, Academy of Sciences, Russia
1990 Foreign Member, American Philosophical Society
1991 Honorary Doctor, Utrecht
1991 Honorary Doctor, Bologna
1991 Member, Academy of Natural Sciences, Russia
1991 Member, Academia Europaea
1992 Lobachevsky Prize of Russian Academy of Sciences
1994 Harvey Prize Technion Award
1994 Honorary Doctor, University of Madrid, Complutense

Research Interests:

Dynamical Systems, Differential Equations, Hydrodynamics, Magnetohydrodynamics, Classical and Celestial Mechanics, Geometry, Topology, Algebraic Geometry, Symplectic Geometry, Singularity Theory

Selected Publications:

1. Small denominators and problems on the stability of motions in the classical and celestial mechanics.
   Uspehy Math. Nauk, 1963, 18:6, 91 - 192

2. On the nonstability of dynamical systems with many degrees of freedom.
   Doklady, 1964,156:1, 9 - 12

3. Sur la geometrie differentielle des groupes de Lie de dimension infinie et ses applications a l`hydrodynamique des fluides parfaits.
   Ann. Inst. Fourier, 1966, 16:1, 319 - 361

4. On the dispositions of ovals of real plane algebraic curves, involutions of four-dimensional smooth manifolds and arithmetics of integer quadratic forms.
   FAA, 1971, 5:3, 1 - 9

5. Singularities of Caustics and Wave Fronts.
   Kluwer, 1990

6. Topological Invariants of Plane Curves and Caustics.
   Dean Jacqueline B. Lewis Memorial Lectures, Rutgers University. University Lecture Series, vol. 5 AMS, Providence, 1994, 60 pp.

More than 200 articles and more than 20 books translated in more than 10 languages