Mikhael Gromov
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Russian mathematician and academic
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Mikhael Gromov mathematics Degrees
Mathematics
#259
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#559
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Geometry
#15
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#34
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Measure Theory
#277
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#434
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Mathematics
Why Is Mikhael Gromov Influential?
(Suggest an Edit or Addition)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 Institut des Hautes Études Scientifiques in France and a professor of mathematics at New York University.
Mikhael Gromov 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Metric Structures for Riemannian and Non-Riemannian Spaces (1999) (2571)
- Pseudo holomorphic curves in symplectic manifolds (1985) (2377)
- Groups of polynomial growth and expanding maps (1981) (1780)
- Asymptotic invariants of infinite groups (1993) (1762)
- Partial Differential Relations (1986) (1161)
- Filling Riemannian manifolds (1983) (904)
- Carnot-Carathéodory spaces seen from within (1996) (904)
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds (1982) (842)
- Manifolds of Nonpositive Curvature (1985) (830)
- Positive scalar curvature and the Dirac operator on complete riemannian manifolds (1983) (703)
- The classification of simply connected manifolds of positive scalar curvature (1980) (535)
- Harmonic maps into singular spaces andp-adic superrigidity for lattices in groups of rank one (1992) (475)
- A topological application of the isoperimetric inequality (1983) (415)
- Spin and Scalar Curvature in the Presence of a Fundamental Group. I (1980) (350)
- Endomorphisms of symbolic algebraic varieties (1999) (349)
- A.D. Alexandrov spaces with curvature bounded below (1992) (340)
- Isoperimetry of Waists and Concentration of Maps (2003) (320)
- Kähler hyperbolicity and $L_2$-Hodge theory (1991) (301)
- ALMOST FLAT MANIFOLDS (1978) (294)
- L2-Cohomology and group cohomology (1986) (275)
- Collapsing riemannian manifolds while keeping their curvature bounded. I. (1986) (273)
- Oka’s principle for holomorphic sections of elliptic bundles (1989) (246)
- L'enseignement Mathématique on the Entropy of Holomorphic Maps (238)
- Topological Invariants of Dynamical Systems and Spaces of Holomorphic Maps: I (1999) (237)
- Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds (1985) (228)
- Positive Curvature, Macroscopic Dimension, Spectral Gaps and Higher Signatures (1996) (221)
- Positive Curvature, Macroscopic Dimension, Spectral Gaps and Higher Signatures (1996) (221)
- Nilpotent structures and invariant metrics on collapsed manifolds (1992) (219)
- Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry (2010) (218)
- Non-arithmetic groups in lobachevsky spaces (1987) (216)
- Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces (1987) (163)
- STABLE MAPPINGS OF FOLIATIONS INTO MANIFOLDS (1969) (156)
- Embeddings and immersions in Riemannian geometry (1970) (148)
- Harmonic Maps between Riemannian Polyhedra (2001) (146)
- Spaces and Questions (2010) (145)
- SYSTOLES AND INTERSYSTOLIC INEQUALITIES (1996) (144)
- Entropy, homology and semialgebraic geometry (1986) (138)
- Homotopical effects of dilatation (1978) (134)
- Convex sets and K?ahler manifolds (1990) (125)
- CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I (1973) (121)
- Overlap properties of geometric expanders (2010) (118)
- On the Characteristic Numbers of Complete Manifolds of Bounded Curvature and Finite Volume (1985) (117)
- Von Neumann spectra near zero (1991) (113)
- COLLAPSING RIEMANNIAN MANIFOLDS WHILE KEEPING THEIR CURVATURE BOUNDED . II (2008) (108)
- Singularities, Expanders and Topology of Maps. Part 1: Homology Versus Volume in the Spaces of Cycles (2009) (107)
- Sign and geometric meaning of curvature (1991) (101)
- Metric Inequalities with Scalar Curvature (2017) (99)
- Dirac and Plateau billiards in domains with corners (2014) (94)
- A TOPOLOGICAL TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AND INEQUALITIES (1970) (92)
- Paul Levy's isoperimetric inequality (1980) (89)
- Manifolds of negative curvature (1978) (83)
- Group cohomology with lipschitz control and higher signatures (1993) (82)
- Embeddings of Stein manifolds of dimension $n$ into the affine space of dimension $3n/2+1$ (1992) (78)
- Large Riemannian manifolds (1986) (74)
- Four Lectures on Scalar Curvature (2019) (72)
- Isoperimetry of waists and concentration of maps (2003) (69)
- CAT(κ)-Spaces: Construction and Concentration (2004) (67)
- Soft and hard symplectic geometry (1986) (64)
- Pattern Formation In Biology, Vision And Dynamics (2000) (63)
- On the ergodicity of frame flows (1980) (54)
- Hyperbolic 4-manifolds and conformally flat 3-manifolds (1988) (53)
- Entropy and isoperimetry for linear and non-linear group actions (2008) (50)
- In a Search for a Structure, Part 1: On Entropy (2013) (48)
- Generalizations of the Kolmogorov–Barzdin embedding estimates (2011) (42)
- Chopping Riemannian manifolds (1990) (39)
- Mathematical slices of molecular biology (2001) (39)
- Cuts in Kahler Groups (2005) (38)
- Foliated plateau problem, part II: Harmonic maps of foliations (1991) (38)
- Foliated plateau problem, part I: Minimal varieties (1991) (33)
- Monotonicity of the volume of intersection of balls (1987) (31)
- Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems (2016) (31)
- On the entropy of holomorphic maps. (Suivi de >, par Serge Cantat) (2003) (29)
- No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds (2020) (29)
- REMOVAL OF SINGULARITIES OF SMOOTH MAPPINGS (1971) (26)
- Plateau-Stein manifolds (2014) (24)
- SMOOTHING AND INVERSION OF DIFFERENTIAL OPERATORS (1972) (22)
- A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature (2017) (22)
- Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions (2018) (21)
- Possible Trends in Mathematics in the Coming Decades (2001) (20)
- Nonsingular mappings of Stein manifolds (1971) (20)
- Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds (1992) (18)
- Spectral geometry of semi-algebraic sets (1992) (18)
- On simplexes inscribed in a hypersurface (1969) (17)
- Manifolds : Where Do We Come From ? What Are We ? Where Are We Going (2010) (16)
- Different faces of geometry (2004) (15)
- The Riemann-Roch theorem for elliptic operators (1993) (15)
- Crystals, proteins, stability and isoperimetry (2011) (14)
- Mean Curvature in the Light of Scalar Curvature (2018) (13)
- A GEOMETRICAL CONJECTURE OF BANACH (1967) (13)
- Novikov Conjectures, Index Theorems and Rigidity: Geometric reflections on the Novikov conjecture (1995) (13)
- Dynamical Morse entropy (2004) (12)
- Construction of a smooth mapping with prescribed jacobian. I (1973) (8)
- A sense of life: computational and experimental investigations with models of biochemical and evolutionary processes. (2003) (8)
- Hilbert volume in metric spaces. Part 1 (2012) (7)
- Morse Spectra, Homology Measures and Parametric Packing Problems (2017) (7)
- Analytic manifolds of nonpositive curvature (1985) (7)
- A Sense of Life ∗ (2003) (7)
- Estimates of bernstein widths of sobolev spaces (1989) (6)
- Mendelian Dynamics and Sturtevant ’ s Paradigm (2007) (6)
- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems (2019) (6)
- Functional labels and syntactic entropy on DNA strings and proteins (2003) (6)
- Local and global in geometry (2007) (6)
- Super Stable Kählerian Horseshoe (2012) (6)
- On the number of simplexes of subdivisions of finite complexes (1968) (6)
- Symmetry, Probabiliy, Entropy: Synopsis of the Lecture at MAXENT 2014 (2015) (5)
- Area and Gauss-Bonnet inequalities with scalar curvature (2021) (5)
- GROUPS OF POLYNOMIAL GROWTH AND EXPANDING MAPS by MIKHA (1981) (5)
- Pattern Formation in Morphogenesis: Problems and Mathematical Issues (2012) (4)
- Erratum to von neumann spectra near zero (1995) (4)
- The Riemann-Roch theorem for general elliptic operators (1992) (3)
- Degenerate smooth mappings (1973) (3)
- Colourful categories (2015) (3)
- Hilbert Volume in Metric Spaces (2018) (3)
- Math Currents in the Brain (2017) (3)
- Scalar Curvature, Injectivity Radius and Immersions with Small Second Fundamental Forms (2022) (2)
- Embeddings of Stein Manifolds of Dimension n into the Affine Space of Dimension 3 n / 2 + 1 Author ( s ) : (2010) (2)
- Topology of analytic manifolds of nonpositive curvature (1985) (2)
- Crystalls , Proteins and Isoperimetry (2009) (2)
- Book Review:Structural Stability and Morphogenesis. An Outline of a General Theory of Models. Rene Thom, D. H. Fowler (1979) (2)
- Isometric Immersions with Controlled Curvatures (2022) (1)
- Overlap properties of geometric expanders: extended abstract (2011) (1)
- 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 (1991) (1)
- Great Circle of Mysteries: Mathematics, the World, the Mind (2018) (1)
- Marcel Berger Remembered (2017) (1)
- Curvature, Kolmogorov Diameter, Hilbert Rational Designs and Overtwisted Immersions (2022) (1)
- Cell division and hyperbolic geometry (2013) (1)
- Bieberbach groups and a proof of the Margulis Lemma (1985) (0)
- Proof of the rigidity theorem (1985) (0)
- Manifolds of bounded negative curvature (1985) (0)
- A Survey of Basic Problems and Results (1986) (0)
- Geometries in interaction : GAFA special issue in honor of Mikhail Gromov (1995) (0)
- Discrete groups of isometries and the Margulis lemma (1985) (0)
- Methods to Prove the h-Principle (1986) (0)
- 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 (1983) (0)
- Rigidity and extensions of isometric maps (1985) (0)
- Submanifolds and differential forms on Carnot manifolds, after M. Gromov and M. Rumin (2020) (0)
- Mostow’s rigidity theorem and its generalization. An outline of the proof (1985) (0)
- ON THE NUMBER OF SIMPLEXES OF OF FINITE COMPLEXES (2004) (0)
- Special groups of isometries (1985) (0)
- Novikov Conjectures, Index Theorems and Rigidity: Annotated Problem List (1995) (0)
- Stable isometries. essential volume and essential volume of stable submanifolds (1985) (0)
- Large Dimensions : Mathematics and Applications . ( Unfinished and Unedited ) (2018) (0)
- Mikhail Aleksandrovich Shubin (2020) (0)
- The Tits metric on X( (1985) (0)
- Quotations and Ideas (2018) (0)
- Vladimir Igorevich Arnol'd (on his sixtieth birthday) (1987) (0)
- Vladimir Antonovich Zorich (2018) (0)
- 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 (1992) (0)
- Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020 (2020) (0)
- Metric Inequalities with Scalar Curvature (2018) (0)
- Ergostructures , Ergologic and the Universal Learning Problem : Chapters (2013) (0)
- From pseudo-random numbers to stochastic growth models and texture images (1999) (0)
- Cauchy-Riemann Equation in Lagrange Intersection Theory (1987) (0)
- Mathematics of life spaces: continuation of the 2018 large dimensions course (2022) (0)
- Large Dimensions : Mathematics and Applications (2018) (0)
- Macromolecular Interplay and Traffic on DNA: Workshop, Evry, July 2002 (2003) (0)
- Isometric C ∞-Immersions (1986) (0)
- Why Would a Mathematician Care About Embryology (2013) (0)
- In Memory of Gennadi Henkin (2018) (0)
- A diagram chasing formalisation of elementary topological properties (2017) (0)
- Addendum: Discussions at the Dead Sea (2000) (0)
- Torsion Obstructions to Positive Scalar Curvature (2021) (0)
- Ergostuctures , Ergologic and the Universal Learning Problem : Chapters 1 , 2 (2013) (0)
- Four Lectures on Scalar Curvature IHES , Spring 2019 (2019) (0)
- In Memory of Gennadi Henkin (2018) (0)
- Local geometry and convexity (1985) (0)
- Convex Polytopes, Dihedral Angles, Mean Curvature and Scalar Curvature (2022) (0)
- Mikhail Aleksandrovich Shubin (1944–2020) (2021) (0)
- Preface (2003) (0)
- In a Serch for a Structure (2018) (0)
- REFERENCES TO THE COURSE ”FINITE-DIMENSIONAL APPROXIMATION PROPERTIES OF FINITE GROUPS” References (2012) (0)
- Functional labels andsyntactic entropy on DNA strings andproteins (2003) (0)
- OF FINITE COMPLEXES (1968) (0)
- The theorem of Hadamard-Cartan and complete simply connected manifolds of nonpositive curvature (1985) (0)
- A Few Recollections (2014) (0)
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