2026 Mikhael Gromov: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	48	1171	1001	61	56	102	29362

Research.com Recognitions

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 - Academie des sciences, France
1997 - Steele Prize for Seminal Contribution to Research
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;
1993 - Member of Academia Europaea
1989 - Member of the National Academy of Sciences
1989 - Fellow of the American Academy of Arts and Sciences

Overview

Mikhael Gromov is affiliated with the Institut des Hautes Études Scientifiques in France. Their research spans multiple fields, primarily focusing on Mathematics and Computer Science. Within these fields, notable subfields include Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics, Computer Networks and Communications, and Artificial Intelligence.

The topics covered in their work address areas such as Network Security and Intrusion Detection, Internet Traffic Analysis and Secure E-voting, Advanced Malware Detection Techniques, Geometric Analysis and Curvature Flows, Advanced Differential Geometry Research, Cosmology and Gravitation Theories, and other advanced mathematical theories.

Among their recent papers are:

Network Traffic Visualization Coupled With Convolutional Neural Networks for Enhanced IoT Botnet Detection, 2024, IEEE Access
Михаил Александрович Шубин (некролог), 2020, Успехи математических наук
Misha Shubin. 1944 -- 2020, 2020, arXiv (Cornell University)
Mikhail Aleksandrovich Shubin, 2020, Russian Mathematical Surveys
Виктор Абрамович Залгаллер (некролог), 2021, Успехи математических наук

Frequent co-authors include:

H. Blaine Lawson
Maxim Braverman
Yuri A. Kordyukov
Vladimir Maz'ya
Toshikazu Sunada

Key venues where the scientist publishes work are:

Успехи математических наук
IEEE Access
arXiv (Cornell University)
Russian Mathematical Surveys

The scientist has also contributed several books published by World Scientific, including multiple editions of Perspectives in Scalar Curvature between 2021 and 2022.

Mikhael Gromov holds various awards earned throughout their career, such as the Abel Prize in 2009 for contributions to geometry and the Kyoto Prize in Mathematical Sciences in 2002. They were also recognized as a Fellow of the Royal Society (2011), a Member of Academia Europaea (1993), a Fellow of the American Academy of Arts and Sciences (1989), and a Member of the National Academy of Sciences (1989). Other distinctions include the Steele Prize for Seminal Contribution to Research (1997), the Wolf Prize in Mathematics (1993) acknowledging contributions across multiple mathematical disciplines, and membership in the Academie des sciences, France (1997).

Best Publications

Pseudo holomorphic curves in symplectic manifolds

M. Gromov

3109
Citations
Groups of polynomial growth and expanding maps

Mikhael Gromov

2802
Citations
Metric Structures for Riemannian and Non-Riemannian Spaces

Mikhael Gromov

2758
Citations
Asymptotic invariants of infinite groups

Mikhael Gromov;Graham A Niblo;Martin A Roller

1653
Citations
Filling Riemannian manifolds

Mikhael Gromov

1497
Citations
Volume and bounded cohomology

Mikhael Gromov

1390
Citations
Partial Differential Relations

Misha Gromov

1155
Citations
Positive scalar curvature and the Dirac operator on complete riemannian manifolds

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

1096
Citations
Manifolds of Nonpositive Curvature

Werner Ballmann;Mikhael Gromov;Viktor Schroeder

1003
Citations
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

Jeff Cheeger;Mikhail Gromov;Michael Taylor

988
Citations
Carnot-Carathéodory spaces seen from within

Mikhael Gromov

925
Citations
Structures métriques pour les variétés riemanniennes

Mikhael Gromov

800
Citations
RANDOM WALK IN RANDOM GROUPS

Mikhail Gromov

727
Citations
Harmonic maps into singular spaces and $p$ -adic superrigidity for lattices in groups of rank one

Mikhail Gromov;Richard Schoen

687
Citations
The classification of simply connected manifolds of positive scalar curvature

Mikhael Gromov;H. Blaine Lawson

680
Citations
ISOPERIMETRY OF WAISTS AND CONCENTRATION OF MAPS

Mikhail Gromov

533
Citations
Spin and Scalar Curvature in the Presence of a Fundamental Group. I

Mikhael Gromov;H. Blaine Lawson

526
Citations
Collapsing riemannian manifolds while keeping their curvature bounded. I.

Jeff Cheeger;Mikhael Gromov

495
Citations
A topological application of the isoperimetric inequality

Unknown

452
Citations
L2-Cohomology and group cohomology

Jeff Cheeger;Mikhael Gromov

431
Citations
Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds

Jeff Cheeger;Mikhael Gromov

369
Citations

Frequent Co-Authors

Jeff Cheeger Courant Institute of Mathematical Sciences

Richard Schoen University of California, Irvine

Yakov Eliashberg Stanford University

Michael Taylor University of North Carolina at Chapel Hill

William P. Thurston Cornell University

Simon Donaldson Imperial College London

H. Blaine Lawson Stony Brook University

External Links

Wikipedia of Mikhael Gromov

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