What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (55.00%)
- Mathematical analysis (33.75%)
- Combinatorics (23.75%)
What were the highlights of his more recent work (between 2001-2018)?
- Pure mathematics (55.00%)
- Combinatorics (23.75%)
- Finite volume method (11.25%)
In recent papers he was focusing on the following fields of study:
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.
Between 2001 and 2018, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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