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Mikhail Leonidovich Gromov currently holds the title of Jay Gould Professor of Mathematics at the New York University Courant Institute of Mathematical Sciences, and is a member of the Institute of Advanced Scientific Studies (IHÉS). Prior to his current position, Gromov taught at Stony Brook University, the University of Paris VI, and the University of Maryland. Born in Boksitogorsk, Russia, Gromov completed his master’s in mathematics at Leningrad State University in 1965, and his PhD in 1969.

Gromov has been influential in the areas of geometry and analysis. In particular, Gromov is known as the originator of geometric group theory, which studies the relationship between geometric and algebraic properties. From his work, numerous models, conjectures, and theories have emerged that are tied to his name, including Gromov’s compactness theorem, the Gromov-Hausdorff convergence, Gromov’s Betti number theorem, the Bishop-Gromov inequality in Riemannian geometry, and Gromov-Witten invariants.

Notable works from Gromov include Metric Structures for Riemannian and Non-Riemannian Spaces.

For his work, Gromov has received awards and honors such as the Prize of the Mathematical Society of Moscow, the Oswald Veblen Prize in Geometry, the Wolf Prize in Mathematics, and the Abel Prize.

**Featured in Top Influential Mathematicians Today**

According to Wikipedia, Mikhael Leonidovich Gromov is a Russian-French mathematician known for his work in geometry, analysis and group theory. He is a permanent member of IHÉS in France and a Professor of Mathematics at New York University.

- Metric Structures for Riemannian and Non-Riemannian Spaces
- Pseudo holomorphic curves in symplectic manifolds
- Groups of polynomial growth and expanding maps
- Asymptotic invariants of infinite groups
- Partial Differential Relations
- Filling Riemannian manifolds
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Carnot-Carathéodory spaces seen from within
- Manifolds of Nonpositive Curvature
- Positive scalar curvature and the Dirac operator on complete riemannian manifolds
- The classification of simply connected manifolds of positive scalar curvature
- Harmonic maps into singular spaces andp-adic superrigidity for lattices in groups of rank one
- A topological application of the isoperimetric inequality
- A.D. Alexandrov spaces with curvature bounded below
- Endomorphisms of symbolic algebraic varieties
- Isoperimetry of Waists and Concentration of Maps
- Spin and Scalar Curvature in the Presence of a Fundamental Group. I
- Kähler hyperbolicity and $L_2$-Hodge theory
- L2-Cohomology and group cohomology
- ALMOST FLAT MANIFOLDS
- Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds
- Nilpotent structures and invariant metrics on collapsed manifolds
- Oka’s principle for holomorphic sections of elliptic bundles
- Non-arithmetic groups in lobachevsky spaces
- Topological Invariants of Dynamical Systems and Spaces of Holomorphic Maps: I
- Positive Curvature, Macroscopic Dimension, Spectral Gaps and Higher Signatures
- Positive Curvature, Macroscopic Dimension, Spectral Gaps and Higher Signatures
- L'enseignement Mathématique on the Entropy of Holomorphic Maps
- Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry
- Collapsing riemannian manifolds while keeping their curvature bounded. I.
- STABLE MAPPINGS OF FOLIATIONS INTO MANIFOLDS
- COLLAPSING RIEMANNIAN MANIFOLDS WHILE KEEPING THEIR CURVATURE BOUNDED . II
- Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces
- Embeddings and immersions in Riemannian geometry
- Harmonic Maps between Riemannian Polyhedra
- SYSTOLES AND INTERSYSTOLIC INEQUALITIES
- Entropy, homology and semialgebraic geometry
- Homotopical effects of dilatation
- Spaces and Questions
- Convex sets and K?ahler manifolds
- CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I
- Manifolds of negative curvature
- On the Characteristic Numbers of Complete Manifolds of Bounded Curvature and Finite Volume
- Von Neumann spectra near zero
- Overlap properties of geometric expanders
- Sign and geometric meaning of curvature
- A TOPOLOGICAL TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AND INEQUALITIES
- Group cohomology with lipschitz control and higher signatures
- Paul Levy's isoperimetric inequality
- Embeddings of Stein manifolds of dimension $n$ into the affine space of dimension $3n/2+1$
- Singularities, Expanders and Topology of Maps. Part 1: Homology Versus Volume in the Spaces of Cycles
- Large Riemannian manifolds
- CAT(κ)-Spaces: Construction and Concentration
- Pattern Formation In Biology, Vision And Dynamics
- Metric Inequalities with Scalar Curvature
- Soft and hard symplectic geometry
- Dimension, non-linear spectra and width
- Dirac and Plateau billiards in domains with corners
- In a Search for a Structure, Part 1: On Entropy
- On the ergodicity of frame flows
- Holomorphic L2 Functions on Coverings of Pseudoconvex Manifolds
- Entropy and isoperimetry for linear and non-linear group actions
- Chopping Riemannian manifolds
- Four Lectures on Scalar Curvature
- Mathematical slices of molecular biology
- Generalizations of the Kolmogorov–Barzdin embedding estimates
- Cuts in Kahler Groups
- Foliated plateau problem, part II: Harmonic maps of foliations
- Foliated plateau problem, part I: Minimal varieties
- Monotonicity of the volume of intersection of balls
- On the entropy of holomorphic maps. (Suivi de >, par Serge Cantat)
- REMOVAL OF SINGULARITIES OF SMOOTH MAPPINGS
- Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems
- Nonsingular mappings of Stein manifolds
- SMOOTHING AND INVERSION OF DIFFERENTIAL OPERATORS
- Possible Trends in Mathematics in the Coming Decades
- Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds
- Plateau-Stein manifolds
- Spectral geometry of semi-algebraic sets
- On simplexes inscribed in a hypersurface
- A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature
- Different faces of geometry
- Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions
- GROUPS OF POLYNOMIAL GROWTH AND EXPANDING MAPS by MIKHA
- Crystals, proteins, stability and isoperimetry
- Lagrangian intersections and the stable Morse theory
- A GEOMETRICAL CONJECTURE OF BANACH
- Dynamical Morse entropy
- Novikov Conjectures, Index Theorems and Rigidity: Geometric reflections on the Novikov conjecture
- A sense of life: computational and experimental investigations with models of biochemical and evolutionary processes.
- No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds
- Manifolds : Where Do We Come From ? What Are We ? Where Are We Going
- A Sense of Life ∗
- On the number of simplexes of subdivisions of finite complexes
- Functional labels and syntactic entropy on DNA strings and proteins
- Mendelian Dynamics and Sturtevant ’ s Paradigm
- Mean Curvature in the Light of Scalar Curvature
- Construction of a smooth mapping with prescribed jacobian. I
- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems
- Morse Spectra, Homology Measures and Parametric Packing Problems
- The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets
- Analytic manifolds of nonpositive curvature
- Isoperimetry of waists and concentration of maps
- Hilbert volume in metric spaces. Part 1
- Super Stable Kählerian Horseshoe
- Symmetry, Probabiliy, Entropy: Synopsis of the Lecture at MAXENT 2014
- Estimates of bernstein widths of sobolev spaces
- Local and global in geometry
- Erratum to von neumann spectra near zero
- The Riemann-Roch theorem for general elliptic operators
- Pattern Formation in Morphogenesis: Problems and Mathematical Issues
- Topology of analytic manifolds of nonpositive curvature
- Embeddings of Stein Manifolds of Dimension n into the Affine Space of Dimension 3 n / 2 + 1 Author ( s ) :
- Hilbert Volume in Metric Spaces
- Degenerate smooth mappings
- Crystalls , Proteins and Isoperimetry
- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems
- The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets
- Book Review:Structural Stability and Morphogenesis. An Outline of a General Theory of Models. Rene Thom, D. H. Fowler
- Cell division and hyperbolic geometry
- Introduction: John Nash: Theorems and ideas
- Math Currents in the Brain
- Geometric topology : recent developments : lectures given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 4-12, 1990
- Overlap properties of geometric expanders: extended abstract
- ON THE NUMBER OF SIMPLEXES OF OF FINITE COMPLEXES
- In Memory of Gennadi Henkin
- Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020
- Mikhail Aleksandrovich Shubin
- REFERENCES TO THE COURSE ”FINITE-DIMENSIONAL APPROXIMATION PROPERTIES OF FINITE GROUPS” References
- Methods to Prove the h-Principle
- Functional labels andsyntactic entropy on DNA strings andproteins
- Isometric C ∞-Immersions
- Addendum: Discussions at the Dead Sea
- Large Dimensions : Mathematics and Applications . ( Unfinished and Unedited )
- Manifolds of bounded negative curvature
- Mostow’s rigidity theorem and its generalization. An outline of the proof
- Local geometry and convexity
- Geometries in interaction : GAFA special issue in honor of Mikhail Gromov
- A Survey of Basic Problems and Results
- Vladimir Igorevich Arnol'd (on his sixtieth birthday)
- Four Lectures on Scalar Curvature IHES , Spring 2019
- Quotations and Ideas
- Great Circle of Mysteries: Mathematics, the World, the Mind
- Novikov Conjectures, Index Theorems and Rigidity: Annotated Problem List
- Large Dimensions : Mathematics and Applications
- Proof of the rigidity theorem
- Ergostuctures , Ergologic and the Universal Learning Problem : Chapters 1 , 2
- Ergostructures , Ergologic and the Universal Learning Problem : Chapters
- From pseudo-random numbers to stochastic growth models and texture images
- The theorem of Hadamard-Cartan and complete simply connected manifolds of nonpositive curvature
- Reductive group actions with one-dimensional quotient . Sur les espaces homogènes modèles de variétés compactes . Affine quivers and canonical bases . Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one
- Rigidity and extensions of isometric maps
- Mikhail Aleksandrovich Shubin (1944–2020)
- The Tits metric on X(
- OF FINITE COMPLEXES
- Volume and bounded cohomology . The topological rationality of linear representations . Homotopy representations of finite groups . Contributions of rational homotopy theory to global problems in geometry . The homotopy Lie algebra for finite complexes
- A diagram chasing formalisation of elementary topological properties
- Macromolecular Interplay and Traffic on DNA: Workshop, Evry, July 2002
- Special groups of isometries
- Cauchy-Riemann Equation in Lagrange Intersection Theory
- In a Serch for a Structure
- Discrete groups of isometries and the Margulis lemma
- Preface
- Vladimir Antonovich Zorich
- Stable isometries. essential volume and essential volume of stable submanifolds
- A Few Recollections
- Bieberbach groups and a proof of the Margulis Lemma
- Marcel Berger Remembered
- Why Would a Mathematician Care About Embryology

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