Advances in Mathematics Short Title: Adv. Math. Publisher: Elsevier (Academic Press), San Diego, CA ISSN: 0001-8708 Online: http://www.sciencedirect.com/science/journal/00018708 Comments: Indexed cover-to-cover Documents Indexed: 7,534 Publications (since 1961) References Indexed: 7,135 Publications with 206,863 References. all top 5 Latest Issues 402 (2022) 401 (2022) 400 (2022) 399 (2022) 398 (2022) 397 (2022) 396 (2022) 395 (2022) 394 (2022) 393 (2021) 392 (2021) 391 (2021) 390 (2021) 389 (2021) 388 (2021) 387 (2021) 386 (2021) 385 (2021) 384 (2021) 383 (2021) 382 (2021) 381 (2021) 380 (2021) 379 (2021) 378 (2021) 377 (2021) 376 (2021) 375 (2020) 374 (2020) 373 (2020) 372 (2020) 371 (2020) 370 (2020) 369 (2020) 368 (2020) 367 (2020) 366 (2020) 365 (2020) 364 (2020) 363 (2020) 362 (2020) 361 (2020) 360 (2020) 359 (2020) 358 (2019) 357 (2019) 356 (2019) 355 (2019) 354 (2019) 353 (2019) 352 (2019) 351 (2019) 350 (2019) 349 (2019) 348 (2019) 347 (2019) 346 (2019) 345 (2019) 344 (2019) 343 (2019) 342 (2019) 341 (2019) 340 (2018) 339 (2018) 338 (2018) 337 (2018) 336 (2018) 335 (2018) 334 (2018) 333 (2018) 332 (2018) 331 (2018) 330 (2018) 329 (2018) 328 (2018) 327 (2018) 326 (2018) 325 (2018) 324 (2018) 323 (2018) 322 (2017) 321 (2017) 320 (2017) 319 (2017) 318 (2017) 317 (2017) 316 (2017) 315 (2017) 314 (2017) 313 (2017) 312 (2017) 311 (2017) 310 (2017) 309 (2017) 308 (2017) 307 (2017) 306 (2017) 305 (2017) 304 (2017) 303 (2016) ...and 526 more Volumes all top 5 Authors 29 Kac, Victor G. 24 Dress, Andreas W. M. 21 Guillemin, Victor W. 20 Lusztig, George 20 Sukochev, Fedor Anatol’evich 17 Milne, Stephen C. 15 Etingof, Pavel Il’ich 15 Reiten, Idun 14 Bringmann, Kathrin 14 Todorcevic, Stevo B. 13 Kawai, Takahiro 12 Gel’fand, Israil’ Moiseevich 12 Iyama, Osamu 12 Joyce, Dominic David 12 Katzarkov, Ludmil 12 Ornstein, Donald Samuel 12 Shelah, Saharon 12 Yu, Guoliang 12 Zhang, James J. 11 Andrews, George Eyre 11 Fefferman, Charles Louis 11 Fröhlich, Jürg Martin 11 He, Xuhua 11 Koldobsky, Alexander L. 11 Lau, Kasing 11 Procesi, Claudio 11 Van den Bergh, Michel 11 Xiao, Jie 10 Berndt, Bruce Carl 10 Chen, Wenxiong 10 Córdoba Barba, Antonio Juan 10 De Concini, Corrado 10 Derksen, Harm 10 Lu, Guozhen 10 Tiep Pham Huu 10 Varchenko, Alexander Nikolaevich 10 Werner, Elisabeth M. 10 Xin, Zhouping 10 Zaharescu, Alexandru 10 Zelevinskiĭ, Andreĭ V. 9 Auslander, Maurice 9 Berenstein, Arkady 9 Borisov, Lev A. 9 Böröczky, Karoly jun. 9 Brooks, James K. 9 Friedman, Harvey M. 9 Garner, Richard 9 Garsia, Adriano M. 9 Gilkey, Peter B. 9 Kapranov, Mikhail M. 9 Kock, Joachim 9 Mauldin, Richard Daniel 9 Nakano, Daniel K. 9 Ono, Ken 9 Stein, Elias Menachem 9 Takei, Yoshitsugu 9 Terao, Hiroaki 9 Vu, Van H. 9 Weyman, Jerzy M. 8 Baez, John C. 8 Bárány, Imre 8 Beresnevich, Victor V. 8 Borodin, Alexei 8 Buchsbaum, David A. 8 Feng, De-Jun 8 Gardner, Richard J. 8 Ginzburg, Victor 8 Hua, Bobo 8 Kobayashi, Toshiyuki 8 Lieb, Elliott H. 8 Lutwak, Erwin 8 Rota, Gian-Carlo 8 Simon, Barry 8 Stembridge, John R. 8 Thibon, Jean-Yves 8 Volberg, Alexander Lvovich 8 Williams, Lauren K. 7 Alesker, Semyon 7 Aljadeff, Eli 7 Biswas, Indranil 7 Braverman, Alexander 7 Chacon, Rafael V. S. 7 Chae, Dongho 7 Eisenbud, David 7 Fisk, Steve 7 Goncharov, Alexander Borisovich 7 Guo, Li 7 Guralnick, Robert Michael 7 Helgason, Sigurdur 7 Hibi, Takayuki 7 Huneke, Craig L. 7 Kashiwara, Masaki 7 Kenig, Carlos Eduardo 7 Koike, Kazuhiko 7 Kong, Liang 7 Lenart, Cristian 7 Ludwig, Monika 7 Milman, Pierre D. 7 Moerdijk, Ieke 7 Müller, Thomas W. ...and 8,297 more Authors all top 5 Fields 1,396 Algebraic geometry (14-XX) 867 Differential geometry (53-XX) 866 Group theory and generalizations (20-XX) 766 Combinatorics (05-XX) 689 Partial differential equations (35-XX) 625 Associative rings and algebras (16-XX) 625 Functional analysis (46-XX) 624 Nonassociative rings and algebras (17-XX) 595 Category theory; homological algebra (18-XX) 594 Number theory (11-XX) 465 Several complex variables and analytic spaces (32-XX) 463 Convex and discrete geometry (52-XX) 434 Manifolds and cell complexes (57-XX) 434 Global analysis, analysis on manifolds (58-XX) 414 Dynamical systems and ergodic theory (37-XX) 410 Algebraic topology (55-XX) 392 Commutative algebra (13-XX) 371 Topological groups, Lie groups (22-XX) 343 Operator theory (47-XX) 289 Measure and integration (28-XX) 274 Probability theory and stochastic processes (60-XX) 262 Quantum theory (81-XX) 250 Mathematical logic and foundations (03-XX) 241 Functions of a complex variable (30-XX) 235 Harmonic analysis on Euclidean spaces (42-XX) 197 Linear and multilinear algebra; matrix theory (15-XX) 196 \(K\)-theory (19-XX) 196 Special functions (33-XX) 148 Order, lattices, ordered algebraic structures (06-XX) 132 General topology (54-XX) 131 Abstract harmonic analysis (43-XX) 130 Real functions (26-XX) 107 Fluid mechanics (76-XX) 104 Ordinary differential equations (34-XX) 104 Geometry (51-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 84 Statistical mechanics, structure of matter (82-XX) 73 Computer science (68-XX) 72 Field theory and polynomials (12-XX) 71 Potential theory (31-XX) 48 Integral transforms, operational calculus (44-XX) 47 Approximations and expansions (41-XX) 32 Information and communication theory, circuits (94-XX) 30 General algebraic systems (08-XX) 28 Difference and functional equations (39-XX) 25 Numerical analysis (65-XX) 25 Mechanics of particles and systems (70-XX) 21 Operations research, mathematical programming (90-XX) 20 Biology and other natural sciences (92-XX) 17 Integral equations (45-XX) 16 Statistics (62-XX) 14 Relativity and gravitational theory (83-XX) 10 Sequences, series, summability (40-XX) 10 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 History and biography (01-XX) 6 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 6,663 Publications have been cited 112,837 times in 76,632 Documents Cited by ▼ Year ▼ Lie superalgebras. 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Zbl 0617.17002Berele, A.; Regev, A. 223 1987 Noncommutative projective schemes. Zbl 0833.14002Artin, M.; Zhang, J. J. 218 1994 On operator ranges. Zbl 0224.47009Fillmore, P. A.; Williams, J. P. 217 1971 Spaces with an abstract convolution of measures. Zbl 0325.42017Jewett, Robert I. 216 1975 New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory. Zbl 1160.42009Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos; Torres, Rodolfo H.; Trujillo-González, Rodrigo 207 2009 Quantum deformations of certain simple modules over enveloping algebras. Zbl 0651.17007Lusztig, George 207 1988 Lipschitz functions on spaces of homogeneous type. Zbl 0431.46018Macias, Roberto A.; Segovia, Carlos 204 1979 The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008Kostant, Bertram 195 1979 Symplectic manifolds and their Lagrangian submanifolds. 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Zbl 0938.81568Lieb, Elliott H.; Simon, Barry 178 1977 Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary. Zbl 1025.57016Ozsváth, Peter; Szabó, Zoltán 178 2003 A variational problem for random Young tableaux. Zbl 0363.62068Logan, B. F.; Shepp, L. A. 175 1977 Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007Keller, Bernhard; Reiten, Idun 175 2007 A characteristic free approach to invariant theory. Zbl 0347.20025de Concini, C.; Procesi, C. 173 1976 Some combinatorial properties of Jack symmetric functions. Zbl 0743.05072Stanley, Richard P. 172 1989 Algebraic cycles and higher K-theory. Zbl 0608.14004Bloch, Spencer 171 1986 Schur functors and Schur complexes. Zbl 0497.15020Akin, Kaan; Buchsbaum, David A.; Weyman, Jerzy 169 1982 Riemann-Roch and Abel-Jacobi theory on a finite graph. Zbl 1124.05049Baker, Matthew; Norine, Serguei 167 2007 Sur certaines martingales de Benoit Mandelbrot. Zbl 0349.60051Kahane, J.-P.; Peyriere, J. 166 1976 A direct method of moving planes for the fractional Laplacian. Zbl 1362.35320Chen, Wenxiong; Li, Congming; Li, Yan 163 2017 A duality for symmetric spaces with applications to group representations. Zbl 0209.25403Helgason, S. 161 1970 Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay. Zbl 0289.14010Hochster, Melvin; Roberts, Joel L. 158 1974 Topological planes. Zbl 0153.21601Salzmann, Helmut R. 158 1967 Cohen-Macaulay quotients of polynomial rings. Zbl 0345.13017Reisner, Gerald Allen 157 1976 Exponential codimension growth of PI algebras: an exact estimate. Zbl 0920.16013Giambruno, A.; Zaicev, M. 156 1999 A new theory of regular functions of a quaternionic variable. Zbl 1124.30015Gentili, Graziano; Struppa, Daniele C. 154 2007 Hopf algebra of the planar binary trees. Zbl 0926.16032Loday, Jean-Louis; Ronco, María O. 152 1998 A multifractal formalism. Zbl 0841.28012Olsen, L. 148 1995 A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations. Zbl 0840.20007Ariki, Susumu; Koike, Kazuhiko 145 1994 Fractional Laplacian in conformal geometry. Zbl 1214.26005Chang, Sun-Yung Alice; del Mar González, María 145 2011 Nonintersecting paths, pfaffians, and plane partitions. Zbl 0790.05007Stembridge, John R. 144 1990 Einstein metrics with prescribed conformal infinity on the ball. Zbl 0765.53034Graham, C. Robin; Lee, John M. 144 1991 The complexity of the word problems for commutative semigroups and polynomial ideals. Zbl 0506.03007Mayr, Ernst W.; Meyer, Albert R. 144 1982 Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories. Zbl 1115.16005Iyama, Osamu 143 2007 The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001Chou, Kai-Seng; Wang, Xu-Jia 143 2006 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 141 1998 Analytic torsion and R-torsion of Riemannian manifolds. Zbl 0395.57011Müller, Werner 141 1978 Nagumo’s equation. Zbl 0202.16203McKean, H. P. jun. 141 1970 On codimension growth of finitely generated associative algebras. Zbl 0920.16012Giambruno, A.; Zaicev, M. 140 1998 Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces. Zbl 0562.54041Dress, Andreas W. M. 140 1984 Best constants in Young’s inequality, its converse, and its generalization to more than three functions. Zbl 0339.26020Brascamp, Herm Jan; Lieb, Elliott H. 138 1976 The Littlewood-Offord problem and invertibility of random matrices. Zbl 1139.15015Rudelson, Mark; Vershynin, Roman 137 2008 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027Stanley, Richard P. 134 1995 Calderón-Zygmund theory for operator-valued kernels. Zbl 0627.42008Rubio de Francia, José L.; Ruiz, Francisco J.; Torrea, José L 134 1986 A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1048.26010Cordero-Erausquin, D.; Nazaret, B.; Villani, C. 133 2004 Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017Adler, M.; Van Moerbeke, P. 133 1980 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 132 1998 Orlicz projection bodies. Zbl 1437.52006Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 132 2010 The even Orlicz Minkowski problem. Zbl 1198.52003Haberl, Christoph; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 131 2010 The discrete planar \(L_0\)-Minkowski problem. Zbl 1005.52002Stancu, Alina 130 2002 Structure of representations with highest weight of infinite-dimensional Lie algebras. Zbl 0427.17011Kac, V. G.; Kazhdan, D. A. 130 1979 Bernoulli shifts with the same entropy are isomorphic. 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Zbl 1465.18004Steinberg, Benjamin; Szakács, Nóra 2 2021 ...and 1268 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 45,623 Authors 130 Yang, Dachun 94 Sukochev, Fedor Anatol’evich 91 Kac, Victor G. 79 Lu, Guozhen 67 Wei, Juncheng 65 Jing, Naihuan 65 Lusztig, George 58 Futorny, Vyacheslav M. 57 Biswas, Indranil 56 Sabadini, Irene 56 Zhang, James J. 55 Zaĭtsev, Mikhail Vladimirovich 54 Bringmann, Kathrin 54 Etingof, Pavel Il’ich 54 Giambruno, Antonio 54 Jørgensen, Palle E. T. 54 Rump, Wolfgang 54 Su, Yucai 54 Valdinoci, Enrico 54 Vazquez, Juan Luis 54 Wang, Weidong 54 Wu, Jiahong 53 Colombo, Fabrizio 52 Creutzig, Thomas 52 Regev, Amitai 52 Van den Bergh, Michel 51 Byun, Sun-Sig 51 Guo, Li 51 Holm, Darryl D. 51 Mazorchuk, Volodymyr 51 Sturmfels, Bernd 50 Dong, Chongying 50 Wang, Shuanhong 49 Bergeron, Nantel 49 Tao, Terence 49 Vinet, Luc 48 Thibon, Jean-Yves 46 Borodin, Alexei 46 Guo, Victor J. W. 46 Schiffler, Ralf 46 Zhang, Ruibin 45 Dress, Andreas W. 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