2026 Maxim Kontsevich: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	48	1172	1002	62	57	86	23904

Research.com Recognitions

2015 - Member of the National Academy of Sciences
2012 - Breakthrough Prize in Fundamental Physics Numerous contributions including development of homological mirror symmetry, and the study of wall-crossing phenomena.
2002 - Academie des sciences, France
2000 - Member of Academia Europaea
1998 - Fields Medal of International Mathematical Union (IMU) Contributions to four problems of geometry.

Overview

Maxim Kontsevich is affiliated with the Institut des Hautes Études Scientifiques in France. Their research primarily spans the field of Mathematics, with notable contributions across several subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Statistical and Nonlinear Physics, and Applied Mathematics.

Their work focuses extensively on topics such as:

Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Mathematics and Applications
Advanced Operator Algebra Research

Kontsevich has published papers in a variety of scientific venues, including:

arXiv (Cornell University)
Letters in Mathematical Physics
Selecta Mathematica
Journal of Algebra
Journal of the European Mathematical Society

Recent published papers include:

"Pre-Calabi-Yau algebras as noncommutative Poisson structures" (2020, Journal of Algebra)
"Analyticity and resurgence in wall-crossing formulas" (2022, Letters in Mathematical Physics)
"Equivariant birational geometry and modular symbols" (2021, Journal of the European Mathematical Society)
"Semistability, modular lattices, and iterated logarithms" (2023, Journal of Differential Geometry)
"Pre-Calabi-Yau algebras and topological quantum field theories" (2021, arXiv (Cornell University))

Collaborations have been a significant part of their research, with frequent co-authors including:

Alexander Odesskii
Alex Takeda
Yiannis Vlassopoulos
Yan Soibelman
Natalia Iyudu

Throughout their career, Kontsevich has received several notable awards and recognitions such as:

Fields Medal of the International Mathematical Union (IMU) in 1998 for contributions to four problems of geometry
Membership in Academia Europaea in 2000
Membership in the Académie des sciences, France, in 2002
Breakthrough Prize in Fundamental Physics in 2012 for contributions including the development of homological mirror symmetry and the study of wall-crossing phenomena
Member of the National Academy of Sciences in 2015

Best Publications

Deformation Quantization of Poisson Manifolds

Maxim Kontsevich

3064
Citations
Homological Algebra of Mirror Symmetry

Maxim Kontsevich;Maxim Kontsevich

2155
Citations
Deformation quantization of Poisson manifolds, I

Maxim Kontsevich

1961
Citations
Intersection theory on the moduli space of curves and the matrix Airy function

Maxim Kontsevich

1777
Citations
Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Maxim Kontsevich;Yan Soibelman

1563
Citations
Gromov-Witten classes, quantum cohomology, and enumerative geometry

M L Kontsevich;Yu I Manin

1300
Citations
The Geometry of the Master Equation and Topological Quantum Field Theory

M. Alexandrov;A. Schwarz;O. Zaboronsky;M. Kontsevich

806
Citations
Enumeration of Rational Curves Via Torus Actions

Maxim Kontsevich;Maxim Kontsevich

765
Citations
Vassiliev’s knot invariants

M. Kontsevich

679
Citations
Operads and Motives in Deformation Quantization

Maxim Kontsevich

649
Citations
The Geometry of the Master Equation and Topological Quantum Field Theory

M. Alexandrov;M. Kontsevich;A. Schwarz;O. Zaboronsky

632
Citations
Feynman Diagrams and Low-Dimensional Topology

Maxim Kontsevich

603
Citations
Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

Maxim Kontsevich;Yan Soibelman

586
Citations
Connected components of the moduli spaces of Abelian differentials with prescribed singularities

Maxim Kontsevich;Anton Zorich

574
Citations
Homological mirror symmetry and torus fibrations

Maxim Kontsevich;Yan Soibelman

547
Citations
Canonical bases for cluster algebras

Mark William Gross;Paul Hacking;Sean Keel;Maxim Kontsevich

490
Citations
FORMAL (NON)-COMMUTATIVE SYMPLECTIC GEOMETRY

Maxim Kontsevich

466
Citations
Hodge theoretic aspects of mirror symmetry

Ludmil Katzarkov;Maxim Kontsevich;Tony Pantev

399
Citations
Affine Structures and Non-Archimedean Analytic Spaces

Maxim Kontsevich;Yan Soibelman

366
Citations
Frobenius manifolds and formality of Lie algebras of polyvector fields

Serguei Barannikov;Maxim Kontsevich

355
Citations

Frequent Co-Authors

Alex Eskin University of Chicago

Albert S. Schwarz University of California, Davis

Yuri Tschinkel Courant Institute of Mathematical Sciences

Yuri I. Manin Max Planck Institute for Mathematics

S. P. Novikov Russian Academy of Sciences

Yakov G. Sinai Princeton University

Igor Moiseevich Krichever Columbia University

Albert N. Shiryaev Steklov Mathematical Institute

Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics

Mark Gross University of Cambridge

External Links

Wikipedia of Maxim Kontsevich Personal website of Maxim Kontsevich Google Scholar page

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