Mikhail Gromov
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Mikhail Leonidovich Gromov Russian: Михаил Леонидович Громов (born December 23, 1943, also known as Mikhael Gromov, Michael Gromov, or Misha Gromov) is a Russian mathematician known for important contributions in many different areas of mathematics. He is considered a geometer in a very broad sense of the word. His style of geometry features a "coarse" or "soft" viewpoint, often analyzing asymptotic or large-scale properties.
Gromov's impact has been felt most heavily in geometric group theory, where he characterized groups of polynomial growth and created the notion of hyperbolic group; symplectic topology, where he introduced pseudoholomorphic curves, and in Riemannian geometry. His work, however, has delved deeply into analysis and algebra, where he will often formulate a problem in "geometric" terms. For example, his h-principle on differential relations is the basis for a geometric theory of partial differential equations.
Mikhail Gromov studied for a doctorate (1973) in Leningrad, where he was a student of V. A. Rokhlin. He is now a permanent member of IHÉS, and Jay Gould Professor of Mathematics at New York University.
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[edit] Prizes and honors
[edit] Prizes
- Prize of the Mathematical Society of Moscow (1971)
- Oswald Veblen Prize in Geometry (AMS) (1981)
- Prix Elie Cartan de l'Academie des Sciences de Paris (1984)
- Prix de l'Union des Assurances de Paris (1989)
- Leroy P. Steele Prize for Seminal Contribution to Research (AMS) (1997)
- Wolf Prize in Mathematics (1993)
- Lobachevsky Medal (1997)
- Balzan prize for Mathematics (1999)
- Kyoto Prize in Mathematical Sciences (2002)
- Nemmers Prize in Mathematics (2004)
- Bolyai prize in 2005.
[edit] Honors
- Invited speaker to International Congress of Mathematicians: 1970 (Nice), 1978 (Helsinki), 1982 (Warsaw), 1986 (Berkeley)
- Foreign member of the National Academy of Sciences and American Academy of Arts and Sciences
- Membre de l'institut - l'Academie des Sciences de Paris
[edit] See also
- Gromov's theorem on groups of polynomial growth
- Gromov's theorem on almost flat manifolds
- Gromov's compactness theorem
- Gromov's inequality for complex projective space
- Gromov's systolic inequality for essential manifolds
- Gromov-Hausdorff convergence
- Bishop-Gromov inequality
- Lévy-Gromov inequality
- Gromov-Witten invariants
- Taubes's Gromov invariant
- Minimal volume
- localisation on the sphere
- Gromov norm
- Hyperbolic group
- Random group
- Ramsey-Dvoretzky-Milman phenomenon
- Systolic geometry
- Filling radius
- Gromov product
- Gromov δ-hyperbolic space
- Filling area conjecture
[edit] References
- Gromov Receives Nemmers Prize AMS Notices, vol. 51, number 7
- Marcel Berger, Encounter with a Geometer, Part I, AMS Notices, Volume 47, Number 2
- Marcel Berger, Encounter with a Geometer, Part II, AMS Notices, Volume 47, Number 3
