Edit Profile (opens in new tab) Goncharov, Alexander Borisovich Co-Author Distance Author ID: goncharov.alexander-b Published as: Goncharov, A. B.; Goncharov, Alexander B.; Goncharov, Alexander more...less Homepage: http://users.math.yale.edu/users/goncharov/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND Awards: EMS Prize (1992) Documents Indexed: 93 Publications since 1981, including 1 Book and 13 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 33 Co-Authors with 35 Joint Publications 994 Co-Co-Authors all top 5 Co-Authors 54 single-authored 10 Fock, Vladimir V. 3 Levin, Andrey M. 3 Shen, Linhui 2 Arkani-Hamed, Nima 2 Beilinson, Alexander A. 2 Bourjaily, Jacob L. 2 Cachazo, Freddy 2 Finkelberg, Michael Vladlenovich 2 Gaitsgory, Dennis 2 Gangl, Herbert 2 Gel’fand, Israil’ Moiseevich 2 Kenyon, Richard W. 2 Paksoy, Yaman 2 Postnikov, Alexander E. 2 Schechtman, Vadim 2 Trnka, Jaroslav 2 Varchenko, Alexander Nikolaevich 1 Bezrukavnikov, Roman 1 Braverman, Alexander 1 Deligne, Pierre 1 Dimofte, Tudor Dan 1 Gabella, Maxime 1 Gel’fand, Mikhail Sergeevich 1 George, Terrence 1 Kislinskyi, Oleksii 1 Kontsevich, Maxim 1 Manin, Yuriĭ Ivanovich 1 Polishchuk, Alexander Evgen’evich 1 Rudenko, Daniil 1 Şengül, Yasemin 1 Spradlin, Marcus 1 Tezel, Yasemin Sengül 1 Varshavsky, Yakov 1 Vergu, Cristian 1 Volovich, Anastasia 1 Zhao, Jianqiang 1 Zhu, Guangyu all top 5 Serials 7 Advances in Mathematics 5 Mathematical Research Letters 4 Functional Analysis and its Applications 4 Soviet Mathematics. Doklady 4 Selecta Mathematica. New Series 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Duke Mathematical Journal 3 Inventiones Mathematicae 2 Compositio Mathematica 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Acta Applicandae Mathematicae 2 Journal of the American Mathematical Society 1 Analysis Mathematica 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Canadian Mathematical Bulletin 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Selecta Mathematica Sovietica 1 Leningrad Mathematical Journal 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Voprosy Kibernetiki (Moskva) 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Journal of High Energy Physics 1 Moscow Mathematical Journal 1 Banach Journal of Mathematical Analysis all top 5 Fields 44 Algebraic geometry (14-XX) 29 Number theory (11-XX) 25 Differential geometry (53-XX) 20 \(K\)-theory (19-XX) 15 Several complex variables and analytic spaces (32-XX) 10 Special functions (33-XX) 6 Commutative algebra (13-XX) 6 Approximations and expansions (41-XX) 5 Group theory and generalizations (20-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 5 Manifolds and cell complexes (57-XX) 5 Numerical analysis (65-XX) 5 Quantum theory (81-XX) 4 Topological groups, Lie groups (22-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 2,344 times in 1,438 Documents Cited by ▼ Year ▼ Moduli spaces of local systems and higher Teichmüller theory. Zbl 1099.14025 Fock, Vladimir; Goncharov, Alexander 325 2006 Grassmannian geometry of scattering amplitudes. Zbl 1365.81004 Arkani-Hamed, Nima; Bourjaily, Jacob; Cachazo, Freddy; Goncharov, Alexander; Postnikov, Alexander; Trnka, Jaroslav 273 2016 Multiple polylogarithms, cyclotomy and modular complexes. Zbl 0961.11040 Goncharov, A. B. 180 1998 Cluster ensembles, quantization and the dilogarithm. Zbl 1180.53081 Fock, Vladimir V.; Goncharov, Alexander B. 165 2009 Mixed Tate motivic fundamental groups. (Groupes fondamentaux motiviques de Tate mixte.) Zbl 1084.14024 Deligne, Pierre; Goncharov, Alexander B. 130 2005 Volumes of hyperbolic manifolds and mixed Tate motives. Zbl 0919.11080 Goncharov, Alexander 122 1999 Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025 Goncharov, Alexander B.; Kenyon, Richard 113 2013 Galois symmetries of fundamental groupoids and noncommutative geometry. Zbl 1095.11036 Goncharov, A. B. 95 2005 The quantum dilogarithm and representations of quantum cluster varieties. Zbl 1183.14037 Fock, V. V.; Goncharov, A. B. 83 2009 Dual Teichmüller and lamination spaces. Zbl 1162.32009 Fock, Vladimir V.; Goncharov, Alexander B. 80 2007 Geometry of configurations, polylogarithms, and motivic cohomology. Zbl 0863.19004 Goncharov, A. B. 67 1995 K-decompositions and 3d gauge theories. Zbl 1390.81320 Dimofte, Tudor; Gabella, Maxime; Goncharov, Alexander B. 48 2016 Cluster \(\chi\)-varieties, amalgamation, and Poisson-Lie groups. Zbl 1162.22014 Fock, V. V.; Goncharov, A. B. 47 2006 A simple construction of Grassmannian polylogarithms. Zbl 1360.11077 Goncharov, A. B. 42 2013 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063 Goncharov, A. B.; Manin, Yu. I. 41 2004 Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. Zbl 1225.53070 Fock, V. V.; Goncharov, A. B. 40 2009 Moduli spaces of convex projective structures on surfaces. Zbl 1111.32013 Fock, V. V.; Goncharov, A. B. 33 2007 Geometry of canonical bases and mirror symmetry. Zbl 1355.14030 Goncharov, Alexander; Shen, Linhui 32 2015 Donaldson-Thomas transformations of moduli spaces of G-local systems. Zbl 1434.13022 Goncharov, Alexander; Shen, Linhui 32 2018 Polylogarithms and motivic Galois groups. Zbl 0842.11043 Goncharov, A. B. 32 1994 Polylogarithms in arithmetic and geometry. Zbl 0849.11087 Goncharov, Alexander B. 31 1995 The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\). Zbl 1113.14020 Goncharov, A. B. 26 2001 Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane. Zbl 0737.14003 Beilinson, A. A.; Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N. 23 1990 Multiple \(\zeta\)-values, Galois groups, and geometry of modular varieties. Zbl 1042.11042 Goncharov, Alexander B. 23 2001 Polylogarithms, regulators, and Arakelov motivic complexes. Zbl 1104.11036 Goncharov, A. B. 22 2005 Generalized conformal structures on manifolds. Zbl 0632.53038 Goncharov, A. B. 21 1987 Explicit construction of characteristic classes. Zbl 0809.57016 Goncharov, A. B. 15 1993 Cluster Poisson varieties at infinity. Zbl 1383.14018 Fock, V. V.; Goncharov, A. B. 15 2016 The double logarithm and Manin’s complex for modular curves. Zbl 0916.11034 Goncharov, A. B. 14 1997 Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories. Zbl 1392.13007 Goncharov, A. B. 14 2017 Zagier’s conjecture on \(L(E,2)\). Zbl 1011.11043 Goncharov, A. B.; Levin, A. M. 13 1998 Euclidean scissor congruence groups and mixed Tate motives over dual numbers. Zbl 1122.11043 Goncharov, A. B. 13 2004 Methods of integral geometry and recovering a function with compact support from its projections in unknown directions. Zbl 0654.44004 Goncharov, A. B. 9 1988 Chow polylogarithms and regulators. Zbl 0836.14005 Goncharov, A. B. 9 1995 Projective geometry and \(K\)-theory. Zbl 0728.14008 Beilinson, A. A.; Varchenko, A. N.; Goncharov, A. B.; Shekhtman, V. V. 9 1991 Constructions of the Weil representations of certain simple Lie algebras. Zbl 0504.17002 Goncharov, A. B. 8 1982 Pentagon relation for the quantum dilogarithm and quantized \(\mathcal M^{\text{cyc}}_{0,5}\). Zbl 1139.81055 Goncharov, Alexander B. 7 2008 Mixed elliptic motives. Zbl 0993.11032 Goncharov, Alexander 7 1998 The classical trilogarithm, algebraic \(K\)-theory of fields, and Dedekind zeta functions. Zbl 0731.19006 Goncharov, A. B. 7 1991 Differential equations and integral geometry. Zbl 0931.53038 Goncharov, A. B. 6 1997 Symplectic double for moduli spaces of \(G\)-local systems on surfaces. Zbl 1351.53092 Fock, V. V.; Goncharov, A. B. 6 2016 Explicit regulator maps on polylogarithmic motivic complexes. Zbl 1049.14012 Goncharov, A. B. 5 2002 Regulators. Zbl 1101.19004 Goncharov, Alexander B. 5 2005 Integral geometry and three-dimensional reconstruction of randomly oriented identical particles from their electron microphotos. Zbl 0654.44003 Goncharov, A. B. 4 1988 Geometry of the trilogarithm and the motivic Lie algebra of a field. Zbl 1159.11313 Goncharov, A. B. 4 2000 Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095 Gangl, H.; Goncharov, A. B.; Levin, A. 4 2009 Admissible families of k-dimensional submanifolds. Zbl 0714.14009 Goncharov, A. B. 4 1988 Deninger’s conjecture on \(L\)-functions of elliptic curves at \(s=3\). Zbl 0867.11048 Goncharov, A. B. 4 1996 Exponential complexes, period morphisms, and characteristic classes. Zbl 1360.14072 Goncharov, A. B. 4 2016 Euler complexes and geometry of modular varieties. Zbl 1194.11072 Goncharov, Alexander B. 3 2008 Infinitesimal structures connected with Hermitian symmetric spaces. Zbl 0485.53032 Goncharov, A. B. 3 1981 Infinitesimal structures related to Hermitian symmetric spaces. Zbl 0499.53032 Goncharov, A. B. 3 1982 Integral geometry and \(D\)-modules. Zbl 0846.53051 Goncharov, Alexander 3 1995 Integral geometry on families of k-dimensional submanifolds. Zbl 0691.53055 Goncharov, A. B. 3 1989 The classical polylogarithms, algebraic \(K\)-theory and \(\zeta_ F(n)\). Zbl 0786.11066 Goncharov, A. B. 3 1993 Hodge correlators. II. Zbl 1217.14007 Goncharov, A. B. 3 2010 Grassmannian trilogarithms. Zbl 1081.14506 Goncharov, A. B.; Zhao, J. 2 2001 Integral geometry on families of k-dimensional submanifolds. Zbl 0706.53038 Goncharov, A. B. 2 1989 Bases in the spaces of Whitney jets. Zbl 1490.46003 Goncharov, Alexander 2 2022 On a characterization of Grassmann manifolds. Zbl 0625.32008 Gel’fand, I. M.; Goncharov, A. B. 1 1987 Admissible double bundles. Zbl 0844.53051 Goncharov, A. B. 1 1994 The Galois group of the category of mixed Hodge-Tate structures. Zbl 1423.14059 Goncharov, Alexander; Zhu, Guangyu 1 2018 Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094 Gangl, H.; Goncharov, A. B.; Levin, A. 1 2007 Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space. Zbl 0621.53052 Gel’fand, I. M.; Goncharov, A. B. 1 1987 Integral geometry and manifolds of minimal degree in \({\mathbb{C}}{\mathbb{P}}^ n\). Zbl 0721.53063 Goncharov, A. B. 1 1990 Hodge correlators. Zbl 1408.14028 Goncharov, Alexander B. 1 2019 On the absence of stability of bases in some Fréchet spaces. Zbl 1474.46005 Goncharov, A. 1 2020 Logarithmic dimension and bases in Whitney spaces. Zbl 1504.46004 Goncharov, Alexander; Tezel, Yasemin Şengül 1 2021 Quasi-equivalence of bases in some Whitney spaces. Zbl 1495.46006 Goncharov, Alexander; Şengül, Yasemin 1 2022 Bases in the spaces of Whitney jets. Zbl 1490.46003 Goncharov, Alexander 2 2022 Quasi-equivalence of bases in some Whitney spaces. Zbl 1495.46006 Goncharov, Alexander; Şengül, Yasemin 1 2022 Logarithmic dimension and bases in Whitney spaces. Zbl 1504.46004 Goncharov, Alexander; Tezel, Yasemin Şengül 1 2021 On the absence of stability of bases in some Fréchet spaces. Zbl 1474.46005 Goncharov, A. 1 2020 Hodge correlators. Zbl 1408.14028 Goncharov, Alexander B. 1 2019 Donaldson-Thomas transformations of moduli spaces of G-local systems. Zbl 1434.13022 Goncharov, Alexander; Shen, Linhui 32 2018 The Galois group of the category of mixed Hodge-Tate structures. Zbl 1423.14059 Goncharov, Alexander; Zhu, Guangyu 1 2018 Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories. Zbl 1392.13007 Goncharov, A. B. 14 2017 Grassmannian geometry of scattering amplitudes. Zbl 1365.81004 Arkani-Hamed, Nima; Bourjaily, Jacob; Cachazo, Freddy; Goncharov, Alexander; Postnikov, Alexander; Trnka, Jaroslav 273 2016 K-decompositions and 3d gauge theories. Zbl 1390.81320 Dimofte, Tudor; Gabella, Maxime; Goncharov, Alexander B. 48 2016 Cluster Poisson varieties at infinity. Zbl 1383.14018 Fock, V. V.; Goncharov, A. B. 15 2016 Symplectic double for moduli spaces of \(G\)-local systems on surfaces. Zbl 1351.53092 Fock, V. V.; Goncharov, A. B. 6 2016 Exponential complexes, period morphisms, and characteristic classes. Zbl 1360.14072 Goncharov, A. B. 4 2016 Geometry of canonical bases and mirror symmetry. Zbl 1355.14030 Goncharov, Alexander; Shen, Linhui 32 2015 Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025 Goncharov, Alexander B.; Kenyon, Richard 113 2013 A simple construction of Grassmannian polylogarithms. Zbl 1360.11077 Goncharov, A. B. 42 2013 Hodge correlators. II. Zbl 1217.14007 Goncharov, A. B. 3 2010 Cluster ensembles, quantization and the dilogarithm. Zbl 1180.53081 Fock, Vladimir V.; Goncharov, Alexander B. 165 2009 The quantum dilogarithm and representations of quantum cluster varieties. Zbl 1183.14037 Fock, V. V.; Goncharov, A. B. 83 2009 Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. Zbl 1225.53070 Fock, V. V.; Goncharov, A. B. 40 2009 Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095 Gangl, H.; Goncharov, A. B.; Levin, A. 4 2009 Pentagon relation for the quantum dilogarithm and quantized \(\mathcal M^{\text{cyc}}_{0,5}\). Zbl 1139.81055 Goncharov, Alexander B. 7 2008 Euler complexes and geometry of modular varieties. Zbl 1194.11072 Goncharov, Alexander B. 3 2008 Dual Teichmüller and lamination spaces. Zbl 1162.32009 Fock, Vladimir V.; Goncharov, Alexander B. 80 2007 Moduli spaces of convex projective structures on surfaces. Zbl 1111.32013 Fock, V. V.; Goncharov, A. B. 33 2007 Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094 Gangl, H.; Goncharov, A. B.; Levin, A. 1 2007 Moduli spaces of local systems and higher Teichmüller theory. Zbl 1099.14025 Fock, Vladimir; Goncharov, Alexander 325 2006 Cluster \(\chi\)-varieties, amalgamation, and Poisson-Lie groups. Zbl 1162.22014 Fock, V. V.; Goncharov, A. B. 47 2006 Mixed Tate motivic fundamental groups. (Groupes fondamentaux motiviques de Tate mixte.) Zbl 1084.14024 Deligne, Pierre; Goncharov, Alexander B. 130 2005 Galois symmetries of fundamental groupoids and noncommutative geometry. Zbl 1095.11036 Goncharov, A. B. 95 2005 Polylogarithms, regulators, and Arakelov motivic complexes. Zbl 1104.11036 Goncharov, A. B. 22 2005 Regulators. Zbl 1101.19004 Goncharov, Alexander B. 5 2005 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063 Goncharov, A. B.; Manin, Yu. I. 41 2004 Euclidean scissor congruence groups and mixed Tate motives over dual numbers. Zbl 1122.11043 Goncharov, A. B. 13 2004 Explicit regulator maps on polylogarithmic motivic complexes. Zbl 1049.14012 Goncharov, A. B. 5 2002 The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\). Zbl 1113.14020 Goncharov, A. B. 26 2001 Multiple \(\zeta\)-values, Galois groups, and geometry of modular varieties. Zbl 1042.11042 Goncharov, Alexander B. 23 2001 Grassmannian trilogarithms. Zbl 1081.14506 Goncharov, A. B.; Zhao, J. 2 2001 Geometry of the trilogarithm and the motivic Lie algebra of a field. Zbl 1159.11313 Goncharov, A. B. 4 2000 Volumes of hyperbolic manifolds and mixed Tate motives. Zbl 0919.11080 Goncharov, Alexander 122 1999 Multiple polylogarithms, cyclotomy and modular complexes. Zbl 0961.11040 Goncharov, A. B. 180 1998 Zagier’s conjecture on \(L(E,2)\). Zbl 1011.11043 Goncharov, A. B.; Levin, A. M. 13 1998 Mixed elliptic motives. Zbl 0993.11032 Goncharov, Alexander 7 1998 The double logarithm and Manin’s complex for modular curves. Zbl 0916.11034 Goncharov, A. B. 14 1997 Differential equations and integral geometry. Zbl 0931.53038 Goncharov, A. B. 6 1997 Deninger’s conjecture on \(L\)-functions of elliptic curves at \(s=3\). Zbl 0867.11048 Goncharov, A. B. 4 1996 Geometry of configurations, polylogarithms, and motivic cohomology. Zbl 0863.19004 Goncharov, A. B. 67 1995 Polylogarithms in arithmetic and geometry. Zbl 0849.11087 Goncharov, Alexander B. 31 1995 Chow polylogarithms and regulators. Zbl 0836.14005 Goncharov, A. B. 9 1995 Integral geometry and \(D\)-modules. Zbl 0846.53051 Goncharov, Alexander 3 1995 Polylogarithms and motivic Galois groups. Zbl 0842.11043 Goncharov, A. B. 32 1994 Admissible double bundles. Zbl 0844.53051 Goncharov, A. B. 1 1994 Explicit construction of characteristic classes. Zbl 0809.57016 Goncharov, A. B. 15 1993 The classical polylogarithms, algebraic \(K\)-theory and \(\zeta_ F(n)\). Zbl 0786.11066 Goncharov, A. B. 3 1993 Projective geometry and \(K\)-theory. Zbl 0728.14008 Beilinson, A. A.; Varchenko, A. N.; Goncharov, A. B.; Shekhtman, V. V. 9 1991 The classical trilogarithm, algebraic \(K\)-theory of fields, and Dedekind zeta functions. Zbl 0731.19006 Goncharov, A. B. 7 1991 Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane. Zbl 0737.14003 Beilinson, A. A.; Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N. 23 1990 Integral geometry and manifolds of minimal degree in \({\mathbb{C}}{\mathbb{P}}^ n\). Zbl 0721.53063 Goncharov, A. B. 1 1990 Integral geometry on families of k-dimensional submanifolds. Zbl 0691.53055 Goncharov, A. B. 3 1989 Integral geometry on families of k-dimensional submanifolds. Zbl 0706.53038 Goncharov, A. B. 2 1989 Methods of integral geometry and recovering a function with compact support from its projections in unknown directions. Zbl 0654.44004 Goncharov, A. B. 9 1988 Integral geometry and three-dimensional reconstruction of randomly oriented identical particles from their electron microphotos. Zbl 0654.44003 Goncharov, A. B. 4 1988 Admissible families of k-dimensional submanifolds. Zbl 0714.14009 Goncharov, A. B. 4 1988 Generalized conformal structures on manifolds. Zbl 0632.53038 Goncharov, A. B. 21 1987 On a characterization of Grassmann manifolds. Zbl 0625.32008 Gel’fand, I. M.; Goncharov, A. B. 1 1987 Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space. Zbl 0621.53052 Gel’fand, I. M.; Goncharov, A. B. 1 1987 Constructions of the Weil representations of certain simple Lie algebras. Zbl 0504.17002 Goncharov, A. B. 8 1982 Infinitesimal structures related to Hermitian symmetric spaces. Zbl 0499.53032 Goncharov, A. B. 3 1982 Infinitesimal structures connected with Hermitian symmetric spaces. Zbl 0485.53032 Goncharov, A. B. 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 1,460 Authors 28 Goncharov, Alexander Borisovich 26 Duhr, Claude 23 He, Song 22 Trnka, Jaroslav 21 Henn, Johannes M. 18 Dixon, Lance J. 17 Lam, Thomas F. 17 McLeod, Andrew J. 17 Spradlin, Marcus 16 Bourjaily, Jacob L. 14 Arkani-Hamed, Nima 13 Drummond, James M. 13 Herrmann, Enrico 13 Schiffler, Ralf 12 Franco, Sebastián 12 Galashin, Pavel 12 Neitzke, Andrew 12 Schlotterer, Oliver 12 Tancredi, Lorenzo 12 Volovich, Anastasia 12 Williams, Lauren K. 12 Yamazaki, Masahito 12 Zhao, Jianqiang 11 Blümlein, Johannes 11 Musiker, Gregg 11 Papathanasiou, Georgios 11 Pylyavskyy, Pavlo 11 Smirnov, Vladimir A. 10 Abreu, Samuel 10 Brown, Francis C. S. 10 Del Duca, Vittorio 10 Gang, Dongmin 10 Ünver, Sinan 10 von Hippel, Matt 9 Dimofte, Tudor Dan 9 Ip, Ivan Chi-Ho 9 Jarossay, David 9 Kim, Hyun Kyu 9 Labourie, François 9 Wienhard, Anna Katharina 9 Wilhelm, Matthias 8 Allegretti, Dylan Gregory Lucasi 8 Cachazo, Freddy 8 Canakci, Ilke 8 Chicherin, Dmitry 8 Gardi, Einan 8 Inoue, Rei 8 Ishibashi, Tsukasa 8 Karp, Steven N. 8 łukowski, Tomasz 8 Mandel, Travis 8 Weinzierl, Stefan 7 Britto, Ruth 7 Brödel, Johannes 7 Chekhov, Leonid O. 7 Dan-Cohen, Ishai 7 Dupont, Clément 7 Fock, Vladimir V. 7 Guo, Li 7 Kenyon, Richard W. 7 Lalín, Matilde Noemí 7 Li, Zhenjie 7 Parisi, Matteo 7 Shen, Linhui 7 Williams, Harold 7 Zickert, Christian K. 6 Abenda, Simonetta 6 Bork, Leonid V. 6 Cathelineau, Jean-Louis 6 Dulat, Falko 6 Felikson, Anna Aleksandrovna 6 Furusho, Hidekazu 6 Gaiotto, Davide 6 Gehrmann, Thomas 6 Hone, Andrew N. W. 6 Langer, Cameron K. 6 Marcolli, Matilde 6 Mariño, Marcos 6 Marzucca, Robin 6 Matthes, Nils 6 Nakanishi, Tomoki 6 Onishchenko, Andrei I. 6 Ramassamy, Sanjay 6 Shapiro, Michael Z. 6 Smirnov, Aleksandr Vladimirovich 6 Teschner, Jörg 6 Verbeek, Bram 6 Vergu, Cristian 6 Yang, Qinglin 6 Zhang, Chi 6 Zhang, Tengren 5 Ablinger, Jakob 5 Agarwala, Susama 5 Bachmann, Henrik 5 Bertola, Marco 5 Bonahon, Francis 5 Cheung, Man-Wai Mandy 5 Fraser, Chris 5 Gangl, Herbert 5 Grinevich, Pëtr Georgievich ...and 1,360 more Authors all top 5 Cited in 207 Serials 378 Journal of High Energy Physics 62 Advances in Mathematics 47 Communications in Mathematical Physics 36 Selecta Mathematica. New Series 31 Journal of Number Theory 27 Duke Mathematical Journal 26 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 24 Compositio Mathematica 21 Geometriae Dedicata 20 Nuclear Physics. B 20 Journal of Algebra 20 Mathematische Zeitschrift 17 Letters in Mathematical Physics 17 Transactions of the American Mathematical Society 17 Journal of Physics A: Mathematical and Theoretical 16 Geometry & Topology 15 Journal of Pure and Applied Algebra 14 Journal of Geometry and Physics 13 Journal of Mathematical Physics 13 Mathematische Annalen 12 Inventiones Mathematicae 12 Manuscripta Mathematica 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Journal of Algebraic Combinatorics 11 Séminaire Lotharingien de Combinatoire 11 Annals of Mathematics. Second Series 11 Algebraic & Geometric Topology 11 Forum of Mathematics, Sigma 10 Computer Physics Communications 10 International Journal of Number Theory 9 Journal für die Reine und Angewandte Mathematik 9 Nagoya Mathematical Journal 9 Journal of the American Mathematical Society 8 Journal of Combinatorial Theory. Series A 8 Journal of the London Mathematical Society. Second Series 8 Journal de Théorie des Nombres de Bordeaux 8 Algebras and Representation Theory 8 Annales Henri Poincaré 8 Oberwolfach Reports 8 Algebra & Number Theory 7 Theoretical and Mathematical Physics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Proceedings of the American Mathematical Society 6 Geometric and Functional Analysis. GAFA 6 Annals of Combinatorics 5 Annales de l’Institut Fourier 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Functional Analysis and its Applications 5 Proceedings of the National Academy of Sciences of the United States of America 5 Bulletin of the American Mathematical Society. New Series 5 Experimental Mathematics 5 The Electronic Journal of Combinatorics 5 Documenta Mathematica 5 Journal of the European Mathematical Society (JEMS) 5 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 5 Research in the Mathematical Sciences 5 Algebraic Combinatorics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Bulletin de la Société Mathématique de France 4 Memoirs of the American Mathematical Society 4 Proceedings of the London Mathematical Society. Third Series 4 Advances in Applied Mathematics 4 Journal of Algebraic Geometry 4 Journal of Mathematical Sciences (New York) 4 The Ramanujan Journal 4 Groups, Geometry, and Dynamics 4 Research in Number Theory 3 Bulletin of the Australian Mathematical Society 3 Inverse Problems 3 Physics Reports 3 Archiv der Mathematik 3 Canadian Journal of Mathematics 3 Publications Mathématiques 3 Journal of Differential Geometry 3 European Journal of Combinatorics 3 Ergodic Theory and Dynamical Systems 3 Acta Applicandae Mathematicae 3 Differential Geometry and its Applications 3 IMRN. International Mathematics Research Notices 3 Journal of Knot Theory and its Ramifications 3 Kyushu Journal of Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Topology and Analysis 3 Journal of \(K\)-Theory 3 Japanese Journal of Mathematics. 3rd Series 3 Combinatorial Theory 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Nonlinearity 2 Physics Letters. B 2 Acta Mathematica Vietnamica 2 Bulletin of the London Mathematical Society 2 Glasgow Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Mathematika 2 Monatshefte für Mathematik ...and 107 more Serials all top 5 Cited in 50 Fields 534 Quantum theory (81-XX) 364 Algebraic geometry (14-XX) 267 Number theory (11-XX) 232 Commutative algebra (13-XX) 147 Combinatorics (05-XX) 145 Differential geometry (53-XX) 140 Manifolds and cell complexes (57-XX) 121 Several complex variables and analytic spaces (32-XX) 114 Associative rings and algebras (16-XX) 114 Relativity and gravitational theory (83-XX) 101 Nonassociative rings and algebras (17-XX) 94 Group theory and generalizations (20-XX) 85 Functions of a complex variable (30-XX) 74 Dynamical systems and ergodic theory (37-XX) 71 \(K\)-theory (19-XX) 71 Special functions (33-XX) 57 Convex and discrete geometry (52-XX) 54 Category theory; homological algebra (18-XX) 48 Mechanics of particles and systems (70-XX) 47 Topological groups, Lie groups (22-XX) 38 Geometry (51-XX) 36 Statistical mechanics, structure of matter (82-XX) 34 Global analysis, analysis on manifolds (58-XX) 22 Ordinary differential equations (34-XX) 21 Algebraic topology (55-XX) 20 Difference and functional equations (39-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Partial differential equations (35-XX) 18 Numerical analysis (65-XX) 15 Computer science (68-XX) 14 Integral transforms, operational calculus (44-XX) 10 General and overarching topics; collections (00-XX) 8 Functional analysis (46-XX) 8 Biology and other natural sciences (92-XX) 6 Probability theory and stochastic processes (60-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Field theory and polynomials (12-XX) 5 Operator theory (47-XX) 5 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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