#3,122

Most Influential Person

Russian-born French mathematician and Fields Medallist

Kontsevich is Professor of Mathematics at the prestigious Institut des Hautes Études Scientifiques in France, as well as a distinguished professor at the University of Miami. Having dual Russian and French citizenship, Kontsevich studied at Moscow University before leaving before degree completion to take a position as a researcher at the Institute for Information Transmission Problems in Moscow. His research there attracted the attention of the University of Bonn, where he was invited to attend. While there he sketched a proof of the famous Witten Conjecture, and was recognized as a true mathematical genius. He received his Ph.D. in Mathematics from the University of Bonn in 1992.

Kontsevich’s work focuses on difficult problems in the geometry of mathematical physics, such as knot theory (literally: the study of mathematical knots), as well as quantization and mirror symmetry. One of the best mathematicians of his generation, Kontsevich won the Fields Medal in 1998. He was awarded the Breakthrough Prize in Mathematics in 2014.

**Featured in Top Influential Mathematicians Today**

According to Wikipedia, Maxim Lvovich Kontsevich is a Russian and French mathematician and mathematical physicist. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014.

- Deformation Quantization of Poisson Manifolds (2086)
- Intersection theory on the moduli space of curves and the matrix airy function (1327)
- Homological Algebra of Mirror Symmetry (1213)
- Gromov-Witten classes, quantum cohomology, and enumerative geometry (1037)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations (720)
- Enumeration of Rational Curves Via Torus Actions (653)
- The Geometry of the Master Equation and Topological Quantum Field Theory (549)
- Operads and Motives in Deformation Quantization (532)
- Homological mirror symmetry and torus fibrations (519)
- Feynman Diagrams and Low-Dimensional Topology (468)
- Vassiliev’s knot invariants (464)
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities (436)
- FORMAL (NON)-COMMUTATIVE SYMPLECTIC GEOMETRY (426)
- Canonical bases for cluster algebras (329)
- Affine Structures and Non-Archimedean Analytic Spaces (315)
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants (294)
- Frobenius manifolds and formality of Lie algebras of polyvector fields (266)
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry (211)
- Hodge theoretic aspects of mirror symmetry (199)
- Deformations of algebras over operads and Deligne's conjecture (193)
- Geometry of determinants of elliptic operators (162)
- LYAPUNOV EXPONENTS AND HODGE THEORY (159)
- Noncommutative smooth spaces (152)
- Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I (134)
- Deformation Quantization of Algebraic Varieties (132)
- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow (129)
- Motivic Donaldson-Thomas invariants: Summary of results (102)
- Determinants of elliptic pseudo-differential operators (101)
- Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry (100)
- Intersection theory on the moduli space of curves (100)
- Relations Between the Correlators of the Topological Sigma-Model Coupled to Gravity (93)
- Notes on Motives in Finite Characteristic (92)
- The Jacobian Conjecture is stably equivalent to the Dixmier Conjecture (85)
- Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models (74)
- Automorphisms of the Weyl Algebra (71)
- Dynamical systems and categories (71)
- Quantum cohomology of a product (with Appendix by R. Kaufmann2) (58)
- Rozansky-Witten invariants via formal geometry (57)
- Lyapunov spectrum of square-tiled cyclic covers (54)
- Virasoro algebra and Teichmüller spaces (52)
- Specialization of birational types (47)
- Holonomic -modules and positive characteristic (40)
- Airy structures and symplectic geometry of topological recursion (36)
- Integrality of instanton numbers and p-adic B-model (35)
- Symplectic geometry of homological algebra (33)
- On Malliavin measures, SLE, and CFT (28)
- In response to the article by Maxim Kontsevich: Rozansky–Witten Invariants Via Formal Geometry (26)
- Product formulas for modular forms on O(2,n) (after R.Borcherds) (25)
- XI Solomon Lefschetz Memorial Lecture Series: Hodge structures in non-commutative geometry. (Notes by Ernesto Lupercio) (25)
- Homological mirror symmetry and tropical geometry (22)
- Quantization on Curves (22)
- Lower bounds for Lyapunov exponents of flat bundles on curves (19)
- Derived Grothendieck-Teichmüller group and graph complexes, (after T. Willwacher) (17)
- Noncommutative identities (17)
- Symmetries of WDVV equations (16)
- Equivariant birational geometry and modular symbols (15)
- On Jackson Networks on Denumerable Graphs (15)
- Wick Rotation and the Positivity of Energy in Quantum Field Theory (15)
- Algebra of the infrared and secondary polytopes (14)
- Computational Vision Based on Neurobiology (13)
- Pre-Calabi-Yau algebras as noncommutative Poisson structures (12)
- STATISTICS OF KLEIN POLYHEDRA AND MULTI-DIMENSIONAL CONTINUED FRACTIONS (12)
- Stability in Fukaya categories of surfaces (11)
- Generalized Tian-Todorov theorems (9)
- Mirror symmetry in dimension 3 (8)
- Analyticity and resurgence in wall-crossing formulas (8)
- Semistability, modular lattices, and iterated logarithms (8)
- Pre-Calabi-Yau algebras and topological quantum field theories (5)
- Quantum Minimal Surfaces (5)
- Iterated logarithms and gradient flows (5)
- Pre-Calabi-Yau algebras and double Poisson brackets (2)
- Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties (2)
- Geometry in dg-Categories (1)
- Pre-Calabi-Yau algebras and noncommutative calculus on higher cyclic Hochschild cohomology (1)
- Pre-Calabi-Yau algebras and ξ∂-calculus on higher cyclic Hochschild cohomology (1)
- Donaldson-Thomas invariants (1)
- Automorphisms of Weil algebras (1)
- p-Determinants and monodromy of differential operators (0)
- Limits of complex structures (0)
- Additional bibliography and comments (0)
- Airy structures and symplectic geometry of topological recursion (0)
- 0 50 70 21 v 1 7 J ul 2 00 5 Quantization on Curves (0)
- Surgery formulae for 3-manifold invariants defined via configuration space (0)
- J un 2 01 7 Semistability , modular lattices , and iterated logarithms (0)
- FORMALITY CONJECTURE by Maxim Kontsevich (0)
- Intersecting curves ( variation on an observation of (0)
- 1 Associative algebras and moduli spaces of algebraic curves : Two constructions (0)
- Coffee Break REPRESENTATION THEORY AT THE CROSSROADS OF MODERN MATHEMATICS IN HONOR OF ALEXANDRE KIRILLOV (0)
- A generalization of King’s equation via noncommutative geometry (0)
- Vladimir Igorevich Arnol'd (on his sixtieth birthday) (0)
- Preface to the tenth Takagi Lectures (0)
- Reconstruction of 3D structure from two central projections by a fully linear algorithm (0)
- Ju n 20 04 Affine structures and non-archimedean analytic spaces (0)
- Multiplication kernels (0)
- Vladimir Antonovich Zorich (0)
- Noncommutative spaces.dvi (0)
- Fe b 20 18 Iterated logarithms and gradient flows (0)
- Tian-Todorov theorems for Landau-Ginzburg models (0)

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