Alexander Goncharov | Academic Influence

Alexander Goncharov's AcademicInfluence.com Rankings

Alexander Goncharov

Mathematics

#3156

World Rank

#4719

Historical Rank

#1187

USA Rank

Algebraic Geometry

#178

World Rank

#186

Historical Rank

#43

USA Rank

Measure Theory

#2797

World Rank

#3335

Historical Rank

#808

USA Rank

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Mathematics

Alexander Goncharov's Degrees

Bachelors Mathematics Moscow State University

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Why Is Alexander Goncharov Influential?

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According to Wikipedia, Alexander B. Goncharov is a Soviet American mathematician and the Philip Schuyler Beebe Professor of Mathematics at Yale University. He won the EMS Prize in 1992. Goncharov won a gold medal at the International Mathematical Olympiad in 1976. He attained his doctorate at Lomonosov Moscow State University in 1987, under supervision of Israel Gelfand with thesis Generalized conformal structures on manifolds. Goncharov was an Invited Speaker at the 1994 International Congress of Mathematicians and gave a talk Polylogarithms in arithmetic and geometry.

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Alexander Goncharov'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

Moduli spaces of local systems and higher Teichmüller theory (2003) (823)
Classical polylogarithms for amplitudes and Wilson loops. (2010) (598)
Multiple polylogarithms, cyclotomy and modular complexes (2011) (597)
Cluster ensembles, quantization and the dilogarithm (2003) (488)
Multiple polylogarithms and mixed Tate motives (2001) (468)
Scattering Amplitudes and the Positive Grassmannian (2012) (378)
Grassmannian Geometry of Scattering Amplitudes (2016) (349)
Galois symmetries of fundamental groupoids and noncommutative geometry (2002) (306)
Motivic amplitudes and cluster coordinates (2013) (230)
Dimers and cluster integrable systems (2011) (228)
Geometry of Configurations, Polylogarithms, and Motivic Cohomology (1995) (216)
The quantum dilogarithm and representations of quantum cluster varieties (2007) (208)
Polylogarithms in Arithmetic and Geometry (1995) (177)
Dual Teichmuller and lamination spaces (2005) (145)
Volumes of hyperbolic manifolds and mixed Tate motives (1996) (126)
A simple construction of Grassmannian polylogarithms (2009) (121)
Cluster χ-varieties, amalgamation, and Poisson—Lie groups (2005) (109)
Multiple ζ-Values, Galois Groups, and Geometry of Modular Varieties (2001) (109)
K-decompositions and 3d gauge theories (2013) (103)
Multiple ζ -motives and moduli spaces M 0 ,n (2002) (99)
THE DOUBLE LOGARITHM AND MANIN'S COMPLEX FOR MODULAR CURVES (1997) (82)
Moduli spaces of convex projective structures on surfaces (2004) (81)
Geometry of canonical bases and mirror symmetry (2013) (78)
Donaldson-Thomas trasnsformations of moduli spaces of G-local systems (2016) (66)
Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner (2007) (63)
Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$ (2004) (62)
Periods and mixed motives (2002) (59)
Polylogarithms and motivic Galois groups (2013) (55)
Polylogarithms, regulators, and Arakelov motivic complexes (2002) (54)
Zagier's conjecture on L(E,2) (1995) (52)
Determination of the spatial orientation of arbitrarily arranged identical particles of unknown structure from their projections (1986) (52)
Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane (2007) (51)
Chow polylogarithms and regulators (1995) (43)
Quantum geometry of moduli spaces of local systems and representation theory (2019) (43)
The dihedral Lie algebras and Galois symmetries of À1(P1-({0,∞} ∪ μN). (2001) (42)
Determination of mutual orientation of identical particles from their projections by the moments method (1988) (40)
Explicit construction of characteristic classes (1993) (39)
The dihedral Lie algebras and Galois symmetries of $\pi_1^{(l)}(\mathbb{P}-(\{0,\infty\}\cup \mu_N))$ (2001) (29)
The classical trilogarithm, algebraic $K$-theory of fields, and Dedekind zeta functions (1991) (27)
Ideal Webs, Moduli Spaces of Local Systems, and 3d Calabi–Yau Categories (2016) (27)
Euclidean scissor congruence groups and mixed Tate motives over dual numbers (2004) (26)
Multiple zeta-motives and moduli spaces M_{0,n} (2002) (26)
The pentagon relation for the quantum dilogarithm and quantized M_{0,5} (2007) (26)
Integral geometry and three-dimensional reconstruction of randomly oriented identical particles from their electron microphotos (1988) (24)
Multiple polylogarithms, polygons, trees and algebraic cycles (2005) (24)
Multiple zeta-values, Galois groups, and geometry of modular varieties (2000) (24)
Explicit regulator maps on polylogarithmic motivic complexes (2000) (24)
The Classical Polylogarithms, Algebraic K -Theory And ζ F ( n ) (1993) (23)
Cluster X-varieties at infinity (2011) (22)
Deninger's conjecture onL-functions of elliptic curves ats=3 (1995) (21)
Geometry of the trilogarithm and the motivic Lie algebra of a field (2000) (20)
Cluster Poisson varieties at infinity (2016) (20)
Grassmannian Trilogarithms (2000) (17)
Galois Representations in Arithmetic Algebraic Geometry: Mixed elliptic motives (1998) (16)
K-decompositions and 3d gauge theories (2016) (16)
Differential Equations and Integral Geometry (1997) (15)
Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4) (2018) (14)
Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc (2007) (13)
Symplectic double for moduli spaces of G-local systems on surfaces (2014) (13)
Multiple Logarithms, Algebraic Cycles and Trees (2005) (13)
Mityagin's Extension Problem. Progress Report (2016) (10)
Best exponents in Markov's inequalities (2014) (9)
Grassmannian Geometry of Scattering Amplitudes: Dual graphs and cluster algebras (2016) (8)
Three-dimensional reconstruction of arbitrarily arranged identical particles given their projection (1990) (8)
Exponential complexes, period morphisms, and characteristic classes (2015) (6)
A proof of the pentagon relation for the quantum dilogarithm (2007) (5)
Galois groups, geometry of modular varieties and graphs (2005) (5)
The dihedral Lie algebras and Galois symmetries of \pi_1^l(P^1 - 0, infinity and N-th roots of unity) (2000) (5)
Integral geometry and ${\cal D}$-modules (1995) (4)
Spatial rotational alignment of identical particles in the case of (almost) coaxial projections. (1989) (4)
Motivic fundamental group of ${\Bbb G}_m-\mu_N$ and modular manifolds (2019) (3)
Euler Complexes and Geometry of Modular Varieties (2005) (3)
Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties (2021) (2)
The Galois group of the category of mixed Hodge–Tate structures (2017) (2)
Bases in some spaces of Whitney functions (2017) (2)
INTEGRAL GEOMETRY AND D-MODULES (2004) (2)
Hidden Hodge symmetries and Hodge correlators (2011) (1)
Integral geometry on families of surfaces in the space (1988) (1)
Hodge Correlators II (2008) (1)
The quantum dilogarithm and unitary representations of the cluster mapping class groups (2007) (1)
Galois symmetries of fundamental groupids (2002) (0)
Cluster construction of the second motivic Chern class (2021) (0)
Multiple zeta-motives and configuration spaces M_{0,n} (2002) (0)
The Galois group of the category of mixed Hodge–Tate structures (2018) (0)
The invariant top-form and the positroid stratification (2016) (0)
Classification of Yangian-invariants and their relations (2016) (0)
un 2 00 4 Polylogarithms , regulators , and Arakelov motivic complexes (2002) (0)
Configurations of vectors and the positive Grassmannian (2016) (0)
On-shell representations of scattering amplitudes (2016) (0)
Integral geometry and differential equations (2005) (0)
Motivic amplitudes and cluster coordinates (2014) (0)
M ar 2 01 3 A simple construction of Grassmannian polylogarithms (0)
From on-shell diagrams to the Grassmannian (2016) (0)
The kinematical support of physical on-shell forms (2016) (0)
Boundary configurations, graphs, and permutations (2016) (0)
(Super-)conformal and dual conformal invariance (2016) (0)
Hidden motivic symmetries and scattering amplitudes (2012) (0)
Positive diffeomorphisms and Yangian invariance (2016) (0)
Cluster Poisson varieties at infinity (2016) (0)
Permutations and scattering amplitudes (2016) (0)
Homological identities among Yangian-invariants (2016) (0)
On-shell diagrams for theories with N < 4 supersymmetries (2016) (0)
Introduction to on-shell functions and diagrams (2016) (0)
Concerning “angular reconstitution: A posteriori assignment of projection directions for 3D reconstruction” (1988) (0)
The Yang–Baxter relation and ABJM theories (2016) (0)
Relatively) orienting canonical coordinate charts on positroids configurations (2016) (0)

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