# Maxim Kontsevich

#1,374

Most Influential Person Now

Russian-born French mathematician and Fields Medallist

## Maxim Kontsevich's AcademicInfluence.com Rankings

Maxim Kontsevichmathematics Degrees

Mathematics

#78

World Rank

#219

Historical Rank

Algebraic Geometry

#12

World Rank

#13

Historical Rank

Measure Theory

#1272

World Rank

#1612

Historical Rank

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Mathematics

## Maxim Kontsevich's Degrees

- PhD Mathematics University of Bonn

## Why Is Maxim Kontsevich Influential?

(Suggest an Edit or Addition)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 Breakthrough Prize in Fundamental Physics in 2012, and the Breakthrough Prize in Mathematics in 2015.

## Maxim Kontsevich's Published Works

### Published Works

- Deformation Quantization of Poisson Manifolds (1997) (2412)
- Intersection theory on the moduli space of curves and the matrix airy function (1992) (1514)
- Homological Algebra of Mirror Symmetry (1994) (1342)
- Gromov-Witten classes, quantum cohomology, and enumerative geometry (1994) (1173)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations (2008) (808)
- Enumeration of Rational Curves Via Torus Actions (1994) (715)
- The Geometry of the Master Equation and Topological Quantum Field Theory (1995) (651)
- Operads and Motives in Deformation Quantization (1999) (600)
- Homological mirror symmetry and torus fibrations (2000) (596)
- Feynman Diagrams and Low-Dimensional Topology (1994) (517)
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities (2002) (510)
- Vassiliev’s knot invariants (1993) (494)
- FORMAL (NON)-COMMUTATIVE SYMPLECTIC GEOMETRY (1993) (454)
- Canonical bases for cluster algebras (2014) (404)
- Affine Structures and Non-Archimedean Analytic Spaces (2004) (388)
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants (2010) (356)
- Frobenius manifolds and formality of Lie algebras of polyvector fields (1997) (284)
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry (2008) (263)
- LYAPUNOV EXPONENTS AND HODGE THEORY (1997) (180)
- Geometry of determinants of elliptic operators (1994) (177)
- Flat surfaces and stability structures (2014) (172)
- Noncommutative smooth spaces (1998) (166)
- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow (2011) (164)
- Deformations of algebras over operads and Deligne's conjecture (2000) (162)
- Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I (2006) (145)
- Hodge theoretic aspects of mirror symmetry (2008) (130)
- Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry (2013) (123)
- Motivic Donaldson-Thomas invariants: Summary of results (2009) (117)
- Notes on Motives in Finite Characteristic (2007) (115)
- Intersection theory on the moduli space of curves (1991) (105)
- Determinants of elliptic pseudo-differential operators (1994) (105)
- Automorphisms of the Weyl Algebra (2005) (104)
- The Jacobian Conjecture is stably equivalent to the Dixmier Conjecture (2005) (103)
- Relations Between the Correlators of the Topological Sigma-Model Coupled to Gravity (1997) (101)
- Dynamical systems and categories (2013) (89)
- Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models (2014) (86)
- Deformation Quantization of Algebraic Varieties (2001) (74)
- Virasoro algebra and Teichmüller spaces (1987) (68)
- Rozansky-Witten invariants via formal geometry (1997) (64)
- Lyapunov spectrum of square-tiled cyclic covers (2010) (61)
- Specialization of birational types (2017) (58)
- Quantum cohomology of a product (with Appendix by R. Kaufmann2) (1995) (58)
- Symplectic geometry of homological algebra (2009) (57)
- Wick Rotation and the Positivity of Energy in Quantum Field Theory (2021) (50)
- Holonomic -modules and positive characteristic (2009) (50)
- Airy structures and symplectic geometry of topological recursion (2017) (46)
- Integrality of instanton numbers and p-adic B-model (2006) (38)
- Homological mirror symmetry and tropical geometry (2014) (36)
- On Malliavin measures, SLE, and CFT (2006) (34)
- XI Solomon Lefschetz Memorial Lecture Series: Hodge structures in non-commutative geometry. (Notes by Ernesto Lupercio) (2008) (31)
- Product formulas for modular forms on O(2,n) (after R.Borcherds) (1997) (26)
- In response to the article by Maxim Kontsevich: Rozansky–Witten Invariants Via Formal Geometry (1999) (25)
- Quantization on Curves (2005) (24)
- Symmetries of WDVV equations (2005) (22)
- Lower bounds for Lyapunov exponents of flat bundles on curves (2016) (22)
- Algebra of the infrared and secondary polytopes (2014) (21)
- Derived Grothendieck-Teichmüller group and graph complexes, (after T. Willwacher) (2019) (20)
- Pre-Calabi-Yau algebras as noncommutative Poisson structures (2021) (19)
- Equivariant birational geometry and modular symbols (2019) (18)
- Noncommutative identities (2011) (18)
- STATISTICS OF KLEIN POLYHEDRA AND MULTI-DIMENSIONAL CONTINUED FRACTIONS (2009) (18)
- Stability in Fukaya categories of surfaces (2014) (14)
- On Jackson Networks on Denumerable Graphs (1989) (14)
- Computational Vision Based on Neurobiology (1993) (13)
- Analyticity and resurgence in wall-crossing formulas (2020) (13)
- Semistability, modular lattices, and iterated logarithms (2017) (11)
- Pre-Calabi-Yau algebras and topological quantum field theories (2021) (9)
- Generalized Tian-Todorov theorems (2008) (9)
- Mirror symmetry in dimension 3 (1995) (8)
- Iterated logarithms and gradient flows (2018) (7)
- Quantum Minimal Surfaces (2019) (5)
- Pre-Calabi-Yau algebras and double Poisson brackets (2019) (3)
- Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties (2021) (2)
- Pre-Calabi-Yau algebras and ξ∂-calculus on higher cyclic Hochschild cohomology (2019) (2)
- Pre-Calabi-Yau algebras and noncommutative calculus on higher cyclic Hochschild cohomology (2020) (2)
- Tian-Todorov theorems for Landau-Ginzburg models (2014) (1)
- Automorphisms of Weil algebras (2005) (1)
- Multiplication kernels (2021) (1)
- Geometry in dg-Categories (2021) (1)
- Reconstruction of 3D structure from two central projections by a fully linear algorithm (1994) (0)
- 1 Associative algebras and moduli spaces of algebraic curves : Two constructions (2009) (0)
- Flat surfaces and stability structures (2017) (0)
- A generalization of King’s equation via noncommutative geometry (2018) (0)
- Noncommutative spaces.dvi (2011) (0)
- Analyticity and resurgence in wall-crossing formulas (2022) (0)
- FORMALITY CONJECTURE by Maxim Kontsevich (2009) (0)
- p-Determinants and monodromy of differential operators (2020) (0)
- Fe b 20 18 Iterated logarithms and gradient flows (0)
- Specialization of birational types (2019) (0)
- Smooth Calabi-Yau structures and the noncommutative Legendre transform (2023) (0)
- Limits of complex structures (2000) (0)
- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow (2013) (0)
- Burnside rings and volume forms with logarithmic poles (2023) (0)
- Vladimir Igorevich Arnol'd (on his sixtieth birthday) (1987) (0)
- Vladimir Antonovich Zorich (2018) (0)
- Intersecting curves ( variation on an observation of (2012) (0)
- 0 50 70 21 v 1 7 J ul 2 00 5 Quantization on Curves (2008) (0)
- J un 2 01 7 Semistability , modular lattices , and iterated logarithms (2018) (0)
- Donaldson-Thomas invariants (2007) (0)
- Surgery formulae for 3-manifold invariants defined via configuration space (2005) (0)
- Coffee Break REPRESENTATION THEORY AT THE CROSSROADS OF MODERN MATHEMATICS IN HONOR OF ALEXANDRE KIRILLOV (0)
- Preface to the tenth Takagi Lectures (2012) (0)
- The Work of The Fields Medallists : 1998 (2013) (0)
- Additional bibliography and comments (2002) (0)

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## What Schools Are Affiliated With Maxim Kontsevich?

Maxim Kontsevich is affiliated with the following schools: