MIKHAIL GROMOV

'Mikhail Leonidovich Gromov' Russian: Михаил Леонидович Громов (born December 23, 1943, also known as Mikhael Gromov, Michael Gromov, or Misha Gromov) is a 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.

Contents

Prizes and honors

Prizes

Honors

See also

External links

References

Prizes and honors

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 medal in 2005.

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

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

External links

★ Personal page at IHÉS

★

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