nLab Mikhail Gromov

Mikhail Gromov (Михаил Леонидович Громов) is a Russian-French mathematician, a Professor at IHES, with deep contributions to many areas of mathematics.

• ihes: Gromov

• wikipedia: English; Russian, French

• math genealogy page

Selected writings

On the h-principle and microflexible sheaves:

• Mikhail Gromov, Partial differential relations, Ergebn. Math. Grenzgeb. (3), 9, Springer (1986) (doi:10.1007/978-3-662-02267-2)

• Mikhail Gromov, A topological technique for the construction of solutions of differential equations and inequalities, Proc. Int. Congress Math. Nice 1970, vol. 2, 221-225 (djvu w OCR, pdf)

• Mikhail Gromov, Papers on h-principle: geometric methods for solving partial differential equations/inequalities and the homotopy structure in the spaces of their solutions, list (with some links)

On the Oka principle:

• Mikhail Gromov, Oka’s principle for holomorphic sections of elliptic bundles, J. Amer. Math. Soc. 2 (1989), 851–-897 (doi:10.2307/1990897)

On Alexandrov spaces:

• Yu. Burago, M. Gromov, G. Perelman, Alexandrov spaces with curvature bounded below, Russ. Math. Surveys 1992. pdf

See also:

• Pseudo holomorphic curves in symplectic manifolds, Inventiones Mathematicae 82, n. 2 (1985) 307–347.

Gromov also researches connections between mathematics, biology, and sees n-categories as the structures in mathematics closest to what is going on in the mind. see:

• Ergologic and Interfaces Between Languages
• Structures, Learning and Ergosystems: Chapters 1-4, 6

Related $n$Lab entries

• symplectic topology

• Gromov-Witten invariant

category: people