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- Mikhael Gromov

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
39
Citations
25,574
73
World Ranking
1417
National Ranking
74

2011 - Fellow of the Royal Society, United Kingdom

2009 - Abel Prize For his revolutionary contributions to geometry.

2002 - Kyoto Prize in Mathematical sciences Contributions through dramatic developments in a range of mathematical fields by introducing the innovative method of a metric structure for families of various geometrical objects

1997 - Steele Prize for Seminal Contribution to Research

1997 - Academie des sciences, France

1993 - Member of Academia Europaea

1993 - Wolf Prize in Mathematics for his revolutionary contributions to global Riemannian and symplectic geometry, algebraic topology, geometric group theory and the theory of partial differential equations;

1989 - Fellow of the American Academy of Arts and Sciences

1989 - Member of the National Academy of Sciences

- Mathematical analysis
- Pure mathematics
- Topology

His main research concerns Pure mathematics, Mathematical analysis, Sectional curvature, Fundamental theorem of Riemannian geometry and Algebra over a field. The Novikov conjecture research Mikhael Gromov does as part of his general Pure mathematics study is frequently linked to other disciplines of science, such as Asymptotic dimension, therefore creating a link between diverse domains of science. His study in the field of Busemann function is also linked to topics like Action.

His work carried out in the field of Sectional curvature brings together such families of science as Dirac operator and Manifold. His Fundamental theorem of Riemannian geometry study incorporates themes from Curvature of Riemannian manifolds, Fubini–Study metric and Riemannian geometry. Mikhael Gromov interconnects Riemann manifold, Number theory, Quasi-isometry and Grigorchuk group in the investigation of issues within Algebra over a field.

- Pseudo holomorphic curves in symplectic manifolds (1767 citations)
- Groups of polynomial growth and expanding maps (1574 citations)
- Metric Structures for Riemannian and Non-Riemannian Spaces (1561 citations)

Mikhael Gromov focuses on Pure mathematics, Mathematical analysis, Combinatorics, Sectional curvature and Riemannian manifold. His Pure mathematics research is multidisciplinary, incorporating perspectives in Function and Plateau. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Curvature, Fundamental theorem of Riemannian geometry and Ricci-flat manifold.

His studies in Combinatorics integrate themes in fields like Gravitational singularity and Topology. The study of Sectional curvature is intertwined with the study of Manifold in a number of ways. His Scalar curvature study combines topics in areas such as Dirac operator and Riemann curvature tensor.

- Pure mathematics (55.00%)
- Mathematical analysis (33.75%)
- Combinatorics (23.75%)

- Pure mathematics (55.00%)
- Combinatorics (23.75%)
- Finite volume method (11.25%)

The scientist’s investigation covers issues in Pure mathematics, Combinatorics, Finite volume method, Function and Hypersurface. In his articles, Mikhael Gromov combines various disciplines, including Pure mathematics and Functional analysis. Mikhael Gromov has researched Combinatorics in several fields, including Gravitational singularity, Minkowski space and Topology.

Mikhael Gromov interconnects Topology, Cohomology, Polyhedron and Algebraic number in the investigation of issues within Gravitational singularity. His study of Finite volume method brings together topics like Plateau, Manifold, Morse code, Mathematical analysis and Geometric measure theory. His Function research incorporates elements of Number theory, Ricci-flat manifold and Riemannian geometry.

- RANDOM WALK IN RANDOM GROUPS (443 citations)
- ISOPERIMETRY OF WAISTS AND CONCENTRATION OF MAPS (284 citations)
- Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry (191 citations)

- Mathematical analysis
- Topology
- Pure mathematics

Mikhael Gromov spends much of his time researching Exposition, Combinatorics, Topology, Topology and Cohomology. His Exposition research encompasses a variety of disciplines, including Small cancellation theory, Random walk, Calculus and Random group. His study in Combinatorics is interdisciplinary in nature, drawing from both Unit and Minkowski space.

His Topology research incorporates themes from Polyhedron, Gravitational singularity and Algebraic number.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Pseudo holomorphic curves in symplectic manifolds

M. Gromov.

Inventiones Mathematicae **(1985)**

2947 Citations

Groups of polynomial growth and expanding maps

Mikhael Gromov.

Publications Mathématiques de l'IHÉS **(1981)**

2620 Citations

Metric Structures for Riemannian and Non-Riemannian Spaces

Mikhael Gromov.

**(1999)**

2571 Citations

Asymptotic invariants of infinite groups

Mikhael Gromov;Graham A Niblo;Martin A Roller.

**(1993)**

1578 Citations

Filling Riemannian manifolds

Mikhael Gromov.

Journal of Differential Geometry **(1983)**

1405 Citations

Volume and bounded cohomology

Mikhael Gromov.

**(1980)**

1328 Citations

Partial Differential Relations

Misha Gromov.

**(2012)**

1069 Citations

Partial Differential Relations

Mikhael Gromov.

**(1986)**

1043 Citations

Positive scalar curvature and the Dirac operator on complete riemannian manifolds

Mikhael Gromov;Mikhael Gromov;H. Blaine Lawson;H. Blaine Lawson.

Publications Mathématiques de l'IHÉS **(1983)**

1002 Citations

Manifolds of Nonpositive Curvature

Werner Ballmann;Mikhael Gromov;Viktor Schroeder.

**(1985)**

989 Citations

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