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.

• persinal page

• Wikipedia entries: English, Russian, French

• MathGenealogy page

Selected writings

On symplectic geometry:

• Mikhail Gromov: Pseudo holomorphic curves in symplectic manifolds, Inventiones Mathematicae 82 2 (1985) 307–347 [pdf, doi:10.1007/BF01388806]

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 hyperbolic groups (and popularizing the Rips’ discussion of what is now called the Vietoris-Rips complex):

• Mikhail Gromov: Hyperbolic Groups, in: Essays in Group Theory, Mathematical Sciences Research Institute Publications, 8, Springer (1987) [doi:10.1007/978-1-4613-9586-7_3, pdf]

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:

• Yuri Burago, Mikhail Gromov, Grigori Perelman, Alexandrov spaces with curvature bounded below, Russ. Math. Surveys 41 3 (1992) 1–54 [doi:10.1070/RM1992v047n02ABEH000877, pdf]

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 entries

• symplectic topology

• Gromov-Witten invariant

category: people