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
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.
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.
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.
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.
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Pseudo holomorphic curves in symplectic manifolds
Inventiones Mathematicae (1985)
Groups of polynomial growth and expanding maps
Publications Mathématiques de l'IHÉS (1981)
Metric Structures for Riemannian and Non-Riemannian Spaces
Asymptotic invariants of infinite groups
Mikhael Gromov;Graham A Niblo;Martin A Roller.
Filling Riemannian manifolds
Journal of Differential Geometry (1983)
Volume and bounded cohomology
Partial Differential Relations
Partial Differential Relations
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)
Manifolds of Nonpositive Curvature
Werner Ballmann;Mikhael Gromov;Viktor Schroeder.
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