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 geometry, especially metric geometry, symplectic geometry, and geometric group theory. December 23 is the 357th day of the year in the Gregorian Calendar (358th in leap years). ... 1943 (MCMXLIII) is a common year starting on Friday. ... A mathematician is a person whose primary area of study and research is mathematics. ... In mathematics, a metric space is a set (or space) where a distance between points is defined. ... In mathematics, a symplectic manifold is a smooth manifold equipped with a closed, nondegenerate 2-form. ... Geometric group theory and combinatorial group theory are two closely related branches of mathematics, which study infinite discrete groups. ...

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. Saint Petersburg (Russian: Санкт-Петербу́рг, English transliteration: Sankt-Peterburg), colloquially known as Питер (transliterated Piter), formerly known as Leningrad (Ленингра́д, 1924–1991) and Petrograd (Петрогра́д, 1914–1924), is a city located in Northwestern Russia on the delta of the river Neva at the east end of the Gulf of Finland... Vladimir Abramovich Rokhlin, Russian: Владимир Абрамович Рохлин (August 23, 1919 - December 3, 1984) was one of the leading mathematicians of the USSR, working in the fields of topology, geometry and ergodic theory. ... IHÉS main building The Institut des Hautes Études Scientifiques (I.H.É.S.) is a French institute supporting advanced research in mathematics and theoretical physics. ... Jay Gould (1836-1892) Jason Gould (May 27, 1836 – December 2, 1892) was an American financier. ... New York University (NYU) is a major research university in New York City. ...

He was awarded the Wolf Prize in Mathematics in 1993, the Kyoto Prize in Mathematical Sciences in 2002, and the Nemmers Prize in Mathematics in 2004. He is known, amongst other things, for his h-principle on differential relations, for his work on hyperbolic groups, and for introducing pseudoholomorphic curves into symplectic topology. Past winners of the Wolf Prize in Mathematics: 1978 Israel M. Gelfand, Carl L. Siegel 1979 Jean Leray, André Weil 1980 Henri Cartan, Andrei Kolmogorov 1981 Lars Ahlfors, Oscar Zariski 1982 Hassler Whitney, Mark Grigoryevich Krein 1983/4 Shiing S. Chern, Paul Erdős 1984/5 Kunihiko Kodaira, Hans... The Kyoto Prize (京都賞) has been awarded annually since 1984 by the Inamori Foundation, founded by Kazuo Inamori (fortune from ceramics). ... The Frederic Esser Nemmers Prize in Mathematics is awarded biennially. ... The homotopy principle (h-principle) is a very general way to solve partial differential equations PDE (and more generally partial differential relations PDR). ... In mathematics, a negatively curved group, also called word-hyperbolic group, Gromov-hyperbolic group, -hyperbolic group, or just hyperbolic group, is a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic geometry. ... In mathematics, specifically in topology and geometry, a pseudoholomorphic curve is a smooth map from a Riemann surface into an almost complex manifold that satisfies the Cauchy-Riemann equation. ... In mathematics, a symplectic manifold is a smooth manifold equipped with a closed, nondegenerate 2-form. ...

See also

• Gromov's theorem on groups of polynomial growth
• Gromov's theorem on almost flat manifolds
• Gromov's compactness theorem
• Gromov-Hausdorff convergence
• Bishop-Gromov inequality
• Gromov norm
• Gromov-Witten invariants
• random group

In mathematics, Gromovs theorem on groups of polynomial growth, named for Mikhail Gromov, characterizes finitely generated groups of polynomial growth, as those groups which have nilpotent subgroups of finite index. ... In mathematics, a smooth compact manifold M is called almost flat if for any there is a Riemannian metric on M such that and is -flat, i. ... In Riemannian geometry is Gromovs compactness theorem states that the set of Riemannian manifolds with Ricci curvature ≥ c and diameter ≤ D is pre-compact in the Gromov-Hausdorff metric. ... Gromov-Hausdorff convergence is a notion for convergence of metric spaces which is a generalization of Hausdorff convergence. ... In mathematics, the Bishop-Gromov inequality is a classical theorem in Riemannian geometry. ... In mathematics, specifically in symplectic topology and algebraic geometry, Gromov-Witten (GW) invariants are rational numbers that count pseudoholomorphic curves meeting prescribed conditions in a given symplectic manifold. ...

External links

• Personal page at IHÉS
• Mikhail Gromov at the Mathematics Genealogy Project