Edit Profile (opens in new tab) Goncharov, Alexander Borisovich Compute Distance To: Compute 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: 77 Publications since 1981, including 1 Book 1 Contribution as Editor Co-Authors: 27 Co-Authors with 28 Joint Publications 896 Co-Co-Authors all top 5 Co-Authors 48 single-authored 9 Fock, Vladimir V. 3 Levin, Andrey M. 2 Beilinson, Alexander A. 2 Finkelberg, Michael Vladlenovich 2 Gaitsgory, Dennis 2 Gangl, Herbert 2 Gel’fand, Israil’ Moiseevich 2 Schechtman, Vadim 2 Shen, Linhui 2 Varchenko, Alexander Nikolaevich 1 Arkani-Hamed, Nima 1 Bezrukavnikov, Roman 1 Bourjaily, Jacob L. 1 Braverman, Alexander 1 Cachazo, Freddy 1 Deligne, Pierre René 1 Dimofte, Tudor Dan 1 Gabella, Maxime 1 Gel’fand, Mikhail Sergeevich 1 Kenyon, Richard W. 1 Manin, Yuriĭ Ivanovich 1 Polishchuk, Alexander Evgen’evich 1 Postnikov, Alexander 1 Şengül, Yasemin 1 Tezel, Yasemin Sengül 1 Trnka, Jaroslav 1 Varshavsky, Yakov 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 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Selecta Mathematica. New Series 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 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 Journal of High Energy Physics 1 Moscow Mathematical Journal 1 Banach Journal of Mathematical Analysis all top 5 Fields 41 Algebraic geometry (14-XX) 28 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) 5 Group theory and generalizations (20-XX) 5 Integral transforms, operational calculus (44-XX) 5 Manifolds and cell complexes (57-XX) 5 Numerical analysis (65-XX) 5 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 4 Topological groups, Lie groups (22-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,892 times in 1,177 Documents Cited by ▼ Year ▼ Moduli spaces of local systems and higher Teichmüller theory. Zbl 1099.14025Fock, Vladimir; Goncharov, Alexander 267 2006 Grassmannian geometry of scattering amplitudes. Zbl 1365.81004Arkani-Hamed, Nima; Bourjaily, Jacob; Cachazo, Freddy; Goncharov, Alexander; Postnikov, Alexander; Trnka, Jaroslav 216 2016 Multiple polylogarithms, cyclotomy and modular complexes. Zbl 0961.11040Goncharov, A. B. 137 1998 Cluster ensembles, quantization and the dilogarithm. Zbl 1180.53081Fock, Vladimir V.; Goncharov, Alexander B. 130 2009 Mixed Tate motivic fundamental groups. (Groupes fondamentaux motiviques de Tate mixte.) Zbl 1084.14024Deligne, Pierre; Goncharov, Alexander B. 118 2005 Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025Goncharov, Alexander B.; Kenyon, Richard 86 2013 Volumes of hyperbolic manifolds and mixed Tate motives. Zbl 0919.11080Goncharov, Alexander 85 1999 Galois symmetries of fundamental groupoids and noncommutative geometry. Zbl 1095.11036Goncharov, A. B. 74 2005 The quantum dilogarithm and representations of quantum cluster varieties. Zbl 1183.14037Fock, V. V.; Goncharov, A. B. 66 2009 Dual Teichmüller and lamination spaces. Zbl 1162.32009Fock, Vladimir V.; Goncharov, Alexander B. 54 2007 Geometry of configurations, polylogarithms, and motivic cohomology. Zbl 0863.19004Goncharov, A. B. 53 1995 Cluster \(\chi\)-varieties, amalgamation, and Poisson-Lie groups. Zbl 1162.22014Fock, V. V.; Goncharov, A. B. 38 2006 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063Goncharov, A. B.; Manin, Yu. I. 38 2004 K-decompositions and 3d gauge theories. Zbl 1390.81320Dimofte, Tudor; Gabella, Maxime; Goncharov, Alexander B. 38 2016 Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. Zbl 1225.53070Fock, V. V.; Goncharov, A. B. 35 2009 A simple construction of Grassmannian polylogarithms. Zbl 1360.11077Goncharov, A. B. 32 2013 Moduli spaces of convex projective structures on surfaces. Zbl 1111.32013Fock, V. V.; Goncharov, A. B. 30 2007 Polylogarithms in arithmetic and geometry. Zbl 0849.11087Goncharov, Alexander B. 27 1995 Polylogarithms and motivic Galois groups. Zbl 0842.11043Goncharov, A. B. 26 1994 Geometry of canonical bases and mirror symmetry. Zbl 1355.14030Goncharov, Alexander; Shen, Linhui 25 2015 Donaldson-Thomas transformations of moduli spaces of G-local systems. Zbl 1434.13022Goncharov, Alexander; Shen, Linhui 24 2018 The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\). Zbl 1113.14020Goncharov, A. B. 23 2001 Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane. Zbl 0737.14003Beilinson, A. A.; Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N. 23 1990 Generalized conformal structures on manifolds. Zbl 0632.53038Goncharov, A. B. 21 1987 Multiple \(\zeta\)-values, Galois groups, and geometry of modular varieties. Zbl 1042.11042Goncharov, Alexander B. 19 2001 Polylogarithms, regulators, and Arakelov motivic complexes. Zbl 1104.11036Goncharov, A. B. 19 2005 Explicit construction of characteristic classes. Zbl 0809.57016Goncharov, A. B. 13 1993 Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories. Zbl 1392.13007Goncharov, A. B. 13 2017 Euclidean scissor congruence groups and mixed Tate motives over dual numbers. Zbl 1122.11043Goncharov, A. B. 12 2004 The double logarithm and Manin’s complex for modular curves. Zbl 0916.11034Goncharov, A. B. 12 1997 Cluster Poisson varieties at infinity. Zbl 1383.14018Fock, V. V.; Goncharov, A. B. 12 2016 Zagier’s conjecture on \(L(E,2)\). Zbl 1011.11043Goncharov, A. B.; Levin, A. M. 10 1998 Chow polylogarithms and regulators. Zbl 0836.14005Goncharov, A. B. 9 1995 Constructions of the Weil representations of certain simple Lie algebras. Zbl 0504.17002Goncharov, A. B. 8 1982 Projective geometry and \(K\)-theory. Zbl 0728.14008Beilinson, A. A.; Varchenko, A. N.; Goncharov, A. B.; Shekhtman, V. V. 8 1991 Methods of integral geometry and recovering a function with compact support from its projections in unknown directions. Zbl 0654.44004Goncharov, A. B. 8 1988 Mixed elliptic motives. Zbl 0993.11032Goncharov, Alexander 7 1998 The classical trilogarithm, algebraic \(K\)-theory of fields, and Dedekind zeta functions. Zbl 0731.19006Goncharov, A. B. 6 1991 Symplectic double for moduli spaces of \(G\)-local systems on surfaces. Zbl 1351.53092Fock, V. V.; Goncharov, A. B. 6 2016 Admissible families of k-dimensional submanifolds. Zbl 0714.14009Goncharov, A. B. 4 1988 Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095Gangl, H.; Goncharov, A. B.; Levin, A. 4 2009 Pentagon relation for the quantum dilogarithm and quantized \(\mathcal M^{\text{cyc}}_{0,5}\). Zbl 1139.81055Goncharov, Alexander B. 4 2008 Explicit regulator maps on polylogarithmic motivic complexes. Zbl 1049.14012Goncharov, A. B. 4 2002 Geometry of the trilogarithm and the motivic Lie algebra of a field. Zbl 1159.11313Goncharov, A. B. 4 2000 Regulators. Zbl 1101.19004Goncharov, Alexander B. 4 2005 Differential equations and integral geometry. Zbl 0931.53038Goncharov, A. B. 4 1997 Infinitesimal structures related to Hermitian symmetric spaces. Zbl 0499.53032Goncharov, A. B. 3 1982 Hodge correlators. II. Zbl 1217.14007Goncharov, A. B. 3 2010 Integral geometry and three-dimensional reconstruction of randomly oriented identical particles from their electron microphotos. Zbl 0654.44003Goncharov, A. B. 3 1988 Integral geometry on families of k-dimensional submanifolds. Zbl 0691.53055Goncharov, A. B. 3 1989 Infinitesimal structures connected with Hermitian symmetric spaces. Zbl 0485.53032Goncharov, A. B. 3 1981 Deninger’s conjecture on \(L\)-functions of elliptic curves at \(s=3\). Zbl 0867.11048Goncharov, A. B. 3 1996 Exponential complexes, period morphisms, and characteristic classes. Zbl 1360.14072Goncharov, A. B. 3 2016 Integral geometry on families of k-dimensional submanifolds. Zbl 0706.53038Goncharov, A. B. 2 1989 Grassmannian trilogarithms. Zbl 1081.14506Goncharov, A. B.; Zhao, J. 2 2001 Euler complexes and geometry of modular varieties. Zbl 1194.11072Goncharov, Alexander B. 2 2008 The classical polylogarithms, algebraic \(K\)-theory and \(\zeta_ F(n)\). Zbl 0786.11066Goncharov, A. B. 2 1993 Integral geometry and \(D\)-modules. Zbl 0846.53051Goncharov, Alexander 2 1995 Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space. Zbl 0621.53052Gel’fand, I. M.; Goncharov, A. B. 1 1987 On a characterization of Grassmann manifolds. Zbl 0625.32008Gel’fand, I. M.; Goncharov, A. B. 1 1987 Integral geometry and manifolds of minimal degree in \({\mathbb{C}}{\mathbb{P}}^ n\). Zbl 0721.53063Goncharov, A. B. 1 1990 Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094Gangl, H.; Goncharov, A. B.; Levin, A. 1 2007 Admissible double bundles. Zbl 0844.53051Goncharov, A. B. 1 1994 On the absence of stability of bases in some Fréchet spaces. Zbl 1474.46005Goncharov, A. 1 2020 Bases in the spaces of Whitney jets. Zbl 1490.46003Goncharov, Alexander 1 2022 Bases in the spaces of Whitney jets. Zbl 1490.46003Goncharov, Alexander 1 2022 On the absence of stability of bases in some Fréchet spaces. Zbl 1474.46005Goncharov, A. 1 2020 Donaldson-Thomas transformations of moduli spaces of G-local systems. Zbl 1434.13022Goncharov, Alexander; Shen, Linhui 24 2018 Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories. Zbl 1392.13007Goncharov, A. B. 13 2017 Grassmannian geometry of scattering amplitudes. Zbl 1365.81004Arkani-Hamed, Nima; Bourjaily, Jacob; Cachazo, Freddy; Goncharov, Alexander; Postnikov, Alexander; Trnka, Jaroslav 216 2016 K-decompositions and 3d gauge theories. Zbl 1390.81320Dimofte, Tudor; Gabella, Maxime; Goncharov, Alexander B. 38 2016 Cluster Poisson varieties at infinity. Zbl 1383.14018Fock, V. V.; Goncharov, A. B. 12 2016 Symplectic double for moduli spaces of \(G\)-local systems on surfaces. Zbl 1351.53092Fock, V. V.; Goncharov, A. B. 6 2016 Exponential complexes, period morphisms, and characteristic classes. Zbl 1360.14072Goncharov, A. B. 3 2016 Geometry of canonical bases and mirror symmetry. Zbl 1355.14030Goncharov, Alexander; Shen, Linhui 25 2015 Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025Goncharov, Alexander B.; Kenyon, Richard 86 2013 A simple construction of Grassmannian polylogarithms. Zbl 1360.11077Goncharov, A. B. 32 2013 Hodge correlators. II. Zbl 1217.14007Goncharov, A. B. 3 2010 Cluster ensembles, quantization and the dilogarithm. Zbl 1180.53081Fock, Vladimir V.; Goncharov, Alexander B. 130 2009 The quantum dilogarithm and representations of quantum cluster varieties. Zbl 1183.14037Fock, V. V.; Goncharov, A. B. 66 2009 Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. Zbl 1225.53070Fock, V. V.; Goncharov, A. B. 35 2009 Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095Gangl, H.; Goncharov, A. B.; Levin, A. 4 2009 Pentagon relation for the quantum dilogarithm and quantized \(\mathcal M^{\text{cyc}}_{0,5}\). Zbl 1139.81055Goncharov, Alexander B. 4 2008 Euler complexes and geometry of modular varieties. Zbl 1194.11072Goncharov, Alexander B. 2 2008 Dual Teichmüller and lamination spaces. Zbl 1162.32009Fock, Vladimir V.; Goncharov, Alexander B. 54 2007 Moduli spaces of convex projective structures on surfaces. Zbl 1111.32013Fock, V. V.; Goncharov, A. B. 30 2007 Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094Gangl, H.; Goncharov, A. B.; Levin, A. 1 2007 Moduli spaces of local systems and higher Teichmüller theory. Zbl 1099.14025Fock, Vladimir; Goncharov, Alexander 267 2006 Cluster \(\chi\)-varieties, amalgamation, and Poisson-Lie groups. Zbl 1162.22014Fock, V. V.; Goncharov, A. B. 38 2006 Mixed Tate motivic fundamental groups. (Groupes fondamentaux motiviques de Tate mixte.) Zbl 1084.14024Deligne, Pierre; Goncharov, Alexander B. 118 2005 Galois symmetries of fundamental groupoids and noncommutative geometry. Zbl 1095.11036Goncharov, A. B. 74 2005 Polylogarithms, regulators, and Arakelov motivic complexes. Zbl 1104.11036Goncharov, A. B. 19 2005 Regulators. Zbl 1101.19004Goncharov, Alexander B. 4 2005 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063Goncharov, A. B.; Manin, Yu. I. 38 2004 Euclidean scissor congruence groups and mixed Tate motives over dual numbers. Zbl 1122.11043Goncharov, A. B. 12 2004 Explicit regulator maps on polylogarithmic motivic complexes. Zbl 1049.14012Goncharov, A. B. 4 2002 The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\). Zbl 1113.14020Goncharov, A. B. 23 2001 Multiple \(\zeta\)-values, Galois groups, and geometry of modular varieties. Zbl 1042.11042Goncharov, Alexander B. 19 2001 Grassmannian trilogarithms. Zbl 1081.14506Goncharov, A. B.; Zhao, J. 2 2001 Geometry of the trilogarithm and the motivic Lie algebra of a field. Zbl 1159.11313Goncharov, A. B. 4 2000 Volumes of hyperbolic manifolds and mixed Tate motives. Zbl 0919.11080Goncharov, Alexander 85 1999 Multiple polylogarithms, cyclotomy and modular complexes. Zbl 0961.11040Goncharov, A. B. 137 1998 Zagier’s conjecture on \(L(E,2)\). Zbl 1011.11043Goncharov, A. B.; Levin, A. M. 10 1998 Mixed elliptic motives. Zbl 0993.11032Goncharov, Alexander 7 1998 The double logarithm and Manin’s complex for modular curves. Zbl 0916.11034Goncharov, A. B. 12 1997 Differential equations and integral geometry. Zbl 0931.53038Goncharov, A. B. 4 1997 Deninger’s conjecture on \(L\)-functions of elliptic curves at \(s=3\). Zbl 0867.11048Goncharov, A. B. 3 1996 Geometry of configurations, polylogarithms, and motivic cohomology. Zbl 0863.19004Goncharov, A. B. 53 1995 Polylogarithms in arithmetic and geometry. Zbl 0849.11087Goncharov, Alexander B. 27 1995 Chow polylogarithms and regulators. Zbl 0836.14005Goncharov, A. B. 9 1995 Integral geometry and \(D\)-modules. Zbl 0846.53051Goncharov, Alexander 2 1995 Polylogarithms and motivic Galois groups. Zbl 0842.11043Goncharov, A. B. 26 1994 Admissible double bundles. Zbl 0844.53051Goncharov, A. B. 1 1994 Explicit construction of characteristic classes. Zbl 0809.57016Goncharov, A. B. 13 1993 The classical polylogarithms, algebraic \(K\)-theory and \(\zeta_ F(n)\). Zbl 0786.11066Goncharov, A. B. 2 1993 Projective geometry and \(K\)-theory. Zbl 0728.14008Beilinson, A. A.; Varchenko, A. N.; Goncharov, A. B.; Shekhtman, V. V. 8 1991 The classical trilogarithm, algebraic \(K\)-theory of fields, and Dedekind zeta functions. Zbl 0731.19006Goncharov, A. B. 6 1991 Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane. Zbl 0737.14003Beilinson, 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 0721.53063Goncharov, A. B. 1 1990 Integral geometry on families of k-dimensional submanifolds. Zbl 0691.53055Goncharov, A. B. 3 1989 Integral geometry on families of k-dimensional submanifolds. Zbl 0706.53038Goncharov, A. B. 2 1989 Methods of integral geometry and recovering a function with compact support from its projections in unknown directions. Zbl 0654.44004Goncharov, A. B. 8 1988 Admissible families of k-dimensional submanifolds. Zbl 0714.14009Goncharov, A. B. 4 1988 Integral geometry and three-dimensional reconstruction of randomly oriented identical particles from their electron microphotos. Zbl 0654.44003Goncharov, A. B. 3 1988 Generalized conformal structures on manifolds. Zbl 0632.53038Goncharov, A. B. 21 1987 Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space. Zbl 0621.53052Gel’fand, I. M.; Goncharov, A. B. 1 1987 On a characterization of Grassmann manifolds. Zbl 0625.32008Gel’fand, I. M.; Goncharov, A. B. 1 1987 Constructions of the Weil representations of certain simple Lie algebras. Zbl 0504.17002Goncharov, A. B. 8 1982 Infinitesimal structures related to Hermitian symmetric spaces. Zbl 0499.53032Goncharov, A. B. 3 1982 Infinitesimal structures connected with Hermitian symmetric spaces. Zbl 0485.53032Goncharov, A. B. 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 1,244 Authors 25 Goncharov, Alexander Borisovich 19 Duhr, Claude 18 He, Song 18 Trnka, Jaroslav 17 Spradlin, Marcus 16 Bourjaily, Jacob L. 16 Lam, Thomas F. 14 Henn, Johannes M. 14 McLeod, Andrew J. 13 Schiffler, Ralf 12 Arkani-Hamed, Nima 12 Herrmann, Enrico 12 Volovich, Anastasia 12 Zhao, Jianqiang 11 Dixon, Lance J. 10 Brown, Francis C. S. 10 Drummond, James M. 10 Franco, Sebastián 10 Galashin, Pavel 10 Gang, Dongmin 10 Neitzke, Andrew 10 Pylyavskyy, Pavlo 10 Yamazaki, Masahito 9 Ip, Ivan Chi-Ho 9 Musiker, Gregg 9 Papathanasiou, Georgios 9 Schlotterer, Oliver 9 Ünver, Sinan 9 von Hippel, Matt 8 Allegretti, Dylan Gregory Lucasi 8 Canakci, Ilke 8 Jarossay, David 8 Labourie, François 8 Smirnov, Vladimir A. 8 Tancredi, Lorenzo 8 Wienhard, Anna Katharina 8 Williams, Lauren K. 7 Abreu, Samuel 7 Chekhov, Leonid O. 7 Chicherin, Dmitry 7 Dimofte, Tudor Dan 7 Dupont, Clément 7 Guo, Li 7 Karp, Steven N. 7 Kim, Hyun Kyu 7 Mandel, Travis 7 Williams, Harold 6 Abenda, Simonetta 6 Blümlein, Johannes 6 Brödel, Johannes 6 Cachazo, Freddy 6 Caron-Huot, Simon 6 Dulat, Falko 6 Fock, Vladimir V. 6 Furusho, Hidekazu 6 Inoue, Rei 6 Lalín, Matilde Noemí 6 Langer, Cameron K. 6 Li, Zhenjie 6 Marzucca, Robin 6 Onishchenko, Andrei I. 6 Shen, Linhui 6 Smirnov, Aleksandr Vladimirovich 6 Weinzierl, Stefan 6 Wilhelm, Matthias 5 Bonahon, Francis 5 Cathelineau, Jean-Louis 5 Dan-Cohen, Ishai 5 Del Duca, Vittorio 5 Felikson, Anna Aleksandrovna 5 Gaiotto, Davide 5 Gardi, Einan 5 Grinevich, Pëtr Georgievich 5 Guevara, Alfredo 5 Gukov, Sergei 5 Heslop, Paul J. 5 Kenyon, Richard W. 5 Kim, Inkang 5 Le, Ian 5 Lee, Kyungyong 5 Li, Jiangtao 5 Lipstein, Arthur E. 5 łukowski, Tomasz 5 Marcolli, Matilde 5 Mariño, Marcos 5 Matthes, Nils 5 Parisi, Matteo 5 Shapiro, Michael Z. 5 Tasaka, Koji 5 Verbeek, Bram 5 Vergu, Cristian 5 Wildeshaus, Jörg 5 Yang, Qinglin 5 Zickert, Christian K. 4 Agarwala, Susama 4 Bachmann, Henrik 4 Bloch, Spencer J. 4 Bork, Leonid V. 4 Britto, Ruth 4 Bucher, Eric ...and 1,144 more Authors all top 5 Cited in 190 Serials 299 Journal of High Energy Physics 53 Advances in Mathematics 37 Communications in Mathematical Physics 30 Journal of Number Theory 30 Selecta Mathematica. New Series 25 Duke Mathematical Journal 24 Compositio Mathematica 21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 20 Geometriae Dedicata 18 Mathematische Zeitschrift 17 Nuclear Physics. B 17 Journal of Algebra 16 Transactions of the American Mathematical Society 15 Letters in Mathematical Physics 14 Geometry & Topology 13 Journal of Geometry and Physics 13 Journal of Pure and Applied Algebra 12 Journal of Mathematical Physics 12 Inventiones Mathematicae 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Manuscripta Mathematica 11 Mathematische Annalen 10 Journal of Algebraic Combinatorics 10 Annals of Mathematics. Second Series 10 International Journal of Number Theory 8 Journal of Combinatorial Theory. Series A 8 Nagoya Mathematical Journal 8 Journal of the American Mathematical Society 8 Journal de Théorie des Nombres de Bordeaux 8 Séminaire Lotharingien de Combinatoire 8 Algebraic & Geometric Topology 8 Forum of Mathematics, Sigma 7 Theoretical and Mathematical Physics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Algebra & Number Theory 6 Journal für die Reine und Angewandte Mathematik 6 Proceedings of the American Mathematical Society 6 Geometric and Functional Analysis. GAFA 6 Annales Henri Poincaré 5 Computer Physics Communications 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 The Electronic Journal of Combinatorics 5 Documenta Mathematica 5 Algebras and Representation Theory 5 Annals of Combinatorics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Experimental Mathematics 4 The Ramanujan Journal 4 Journal of the European Mathematical Society (JEMS) 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 4 Algebraic Combinatorics 3 Bulletin of the Australian Mathematical Society 3 Inverse Problems 3 Archiv der Mathematik 3 Canadian Journal of Mathematics 3 Publications Mathématiques 3 Proceedings of the London Mathematical Society. Third Series 3 Advances in Applied Mathematics 3 Acta Applicandae Mathematicae 3 Differential Geometry and its Applications 3 IMRN. International Mathematics Research Notices 3 Journal of Algebraic Geometry 3 Journal of Mathematical Sciences (New York) 3 Kyushu Journal of Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 Oberwolfach Reports 3 Proceedings of the Steklov Institute of Mathematics 3 Groups, Geometry, and Dynamics 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Topology and Analysis 3 Journal of \(K\)-Theory 3 Japanese Journal of Mathematics. 3rd Series 3 Research in the Mathematical Sciences 3 Research in Number Theory 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Physics Letters. B 2 Physics Reports 2 Acta Mathematica Vietnamica 2 Glasgow Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 European Journal of Combinatorics 2 Ergodic Theory and Dynamical Systems 2 Physica D 2 SIAM Journal on Discrete Mathematics 2 Pattern Recognition 2 Journal of Knot Theory and its Ramifications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Transformation Groups 2 Journal of Cosmology and Astroparticle Physics 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Quantum Topology 2 Kyoto Journal of Mathematics ...and 90 more Serials all top 5 Cited in 50 Fields 419 Quantum theory (81-XX) 295 Algebraic geometry (14-XX) 222 Number theory (11-XX) 185 Commutative algebra (13-XX) 118 Combinatorics (05-XX) 118 Manifolds and cell complexes (57-XX) 109 Differential geometry (53-XX) 102 Several complex variables and analytic spaces (32-XX) 95 Associative rings and algebras (16-XX) 92 Nonassociative rings and algebras (17-XX) 89 Relativity and gravitational theory (83-XX) 81 Group theory and generalizations (20-XX) 66 \(K\)-theory (19-XX) 66 Functions of a complex variable (30-XX) 64 Special functions (33-XX) 55 Dynamical systems and ergodic theory (37-XX) 50 Category theory; homological algebra (18-XX) 46 Mechanics of particles and systems (70-XX) 45 Convex and discrete geometry (52-XX) 38 Topological groups, Lie groups (22-XX) 34 Geometry (51-XX) 29 Global analysis, analysis on manifolds (58-XX) 23 Statistical mechanics, structure of matter (82-XX) 18 Ordinary differential equations (34-XX) 16 Algebraic topology (55-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Integral transforms, operational calculus (44-XX) 12 Partial differential equations (35-XX) 12 Difference and functional equations (39-XX) 10 Numerical analysis (65-XX) 10 Computer science (68-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Sequences, series, summability (40-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-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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