Annals of Mathematics. Second Series Short Title: Ann. Math. (2) Publisher: Princeton University, Mathematics Department, Princeton, NJ ISSN: 0003-486X; 1939-8980/e Online: https://annals.math.princeton.edu/https://projecteuclid.org/journals/annals-of-mathematics/issueshttps://www.jstor.org/journal/annamath Predecessor: Annals of Mathematics Comments: Indexed cover-to-cover; Journal abbreviations vary in sources of the older volumes Documents Indexed: 6,229 Publications (since 1899) References Indexed: 637 Publications with 22,641 References. all top 5 Latest Issues 195, No. 2 (2022) 195, No. 1 (2022) 194, No. 3 (2021) 194, No. 2 (2021) 194, No. 1 (2021) 193, No. 3 (2021) 193, No. 2 (2021) 193, No. 1 (2021) 192, No. 3 (2020) 192, No. 2 (2020) 192, No. 1 (2020) 191, No. 3 (2020) 191, No. 2 (2020) 191, No. 1 (2020) 190, No. 3 (2019) 190, No. 2 (2019) 190, No. 1 (2019) 189, No. 3 (2019) 189, No. 2 (2019) 189, No. 1 (2019) 188, No. 3 (2018) 188, No. 2 (2018) 188, No. 1 (2018) 187, No. 3 (2018) 187, No. 2 (2018) 187, No. 1 (2018) 186, No. 3 (2017) 186, No. 2 (2017) 186, No. 1 (2017) 185, No. 3 (2017) 185, No. 2 (2017) 185, No. 1 (2017) 184, No. 3 (2016) 184, No. 2 (2016) 184, No. 1 (2016) 183, No. 3 (2016) 183, No. 2 (2016) 183, No. 1 (2016) 182, No. 3 (2015) 182, No. 2 (2015) 182, No. 1 (2015) 181, No. 3 (2015) 181, No. 2 (2015) 181, No. 1 (2015) 180, No. 3 (2014) 180, No. 2 (2014) 180, No. 1 (2014) 179, No. 3 (2014) 179, No. 2 (2014) 179, No. 1 (2014) 178, No. 3 (2013) 178, No. 2 (2013) 178, No. 1 (2013) 177, No. 3 (2013) 177, No. 2 (2013) 177, No. 1 (2013) 176, No. 3 (2012) 176, No. 2 (2012) 176, No. 1 (2012) 175, No. 3 (2012) 175, No. 2 (2012) 175, No. 1 (2012) 174, No. 3 (2011) 174, No. 2 (2011) 174, No. 1 (2011) 173, No. 3 (2011) 173, No. 2 (2011) 173, No. 1 (2011) 172, No. 3 (2010) 172, No. 2 (2010) 172, No. 1 (2010) 171, No. 3 (2010) 171, No. 2 (2010) 171, No. 1 (2010) 170, No. 3 (2009) 170, No. 2 (2009) 170, No. 1 (2009) 169, No. 3 (2009) 169, No. 2 (2009) 169, No. 1 (2009) 168, No. 3 (2008) 168, No. 2 (2008) 168, No. 1 (2008) 167, No. 3 (2008) 167, No. 2 (2008) 167, No. 1 (2008) 166, No. 3 (2007) 166, No. 2 (2007) 166, No. 1 (2007) 165, No. 3 (2007) 165, No. 2 (2007) 165, No. 1 (2007) 164, No. 3 (2006) 164, No. 2 (2006) 164, No. 1 (2006) 163, No. 3 (2006) 163, No. 2 (2006) 163, No. 1 (2006) 162, No. 3 (2005) 162, No. 2 (2005) ...and 258 more Volumes all top 5 Authors 61 Bochner, Salomon 48 Albert, Abraham Adrian 45 von Neumann, John 36 Erdős, Pál 35 Gronwall, Thomas Hakon 31 Bell, Eric Temple 29 Whitehead, John Henry Constantine 29 Whitney, Hassler 27 Eisenhart, Luther Pfahler 26 Morse, Marston 26 Shimura, Goro 26 Ward, Morgan 24 Hille, Einar 24 Miller, George Abram 24 Montgomery, Deane 23 Siegel, Carl Ludwig 22 Eilenberg, Samuel 21 Jacobson, Nathan 21 Weyl, Hermann 20 Alexander, James Waddell 20 Vandiver, Harry Schultz 19 Fox, Ralph Hartzler 19 Mostow, George Daniel 18 Dickson, Leonard Eugene 18 Ritt, Joseph Fels 18 Smith, Paul Althaus 17 Birkhoff, Garrett 17 Kodaira, Kunihiko 17 Lefschetz, Solomon 17 Mac Lane, Leslie Saunders 17 McShane, Edward James 17 Ore, Øystein 17 Stein, Elias Menachem 17 Wedderburn, Joseph 16 Brauer, Richard 16 Chern, Shiing-Shen 16 Einstein, Albert 16 Jackson, Dunham 16 Thomas, Tracy Yerkes 15 Fefferman, Charles Louis 15 Tamarkin, Jacob David 14 Agnew, Ralph Palmer 14 Bing, R H 14 Bôcher, Maxime 14 Kakutani, Shizuo 14 Nakayama, Tadasi 14 Schoenberg, Isaac Jacob 14 Segal, Irving Ezra 14 Spencer, Donald Clayton 13 Carmichael, Robert D. 13 Freudenthal, Hans 13 Heins, Maurice Haskell 13 Milnor, John Willard 13 Steenrod, Norman Earl 13 Zariski, Oscar 12 Bennett, Albert A. 12 Caffarelli, Luis Ángel 12 Cairns, Stewart Scott 12 Colding, Tobias Holck 12 Lawson, Herbert Blaine jun. 12 Osgood, William Fogg 12 Wigner, Eugene Paul 12 Zippin, Leo 11 Bohnenblust, H. Frederic 11 Saurel, P. 11 Stone, Marshall Harvey 10 Birkhoff, George David 10 Coolidge, Julian Lowell 10 Dilworth, Robert Palmer 10 Green, Ben Joseph 10 Hochschild, Gerhard Paul 10 Hsiang, Wu-Chung 10 Iwasawa, Kenkichi 10 Jenkins, James Allister 10 Kolmogorov, Andreĭ Nikolaevich 10 Pontryagin, Lev Semënovich 10 Robertson, Malcolm S. 10 Tao, Terence 10 Tompkins, Charles B. 10 Trjitzinsky, Waldemar Joseph 10 Tucker, Albert William 10 Whitehead, George William 10 Whittemore, J. K. 9 Atiyah, Michael Francis 9 Auslander, Louis 9 Borel, Armand 9 Bourgain, Jean 9 Brown, Arthur B. 9 Clifford, Alfred H. 9 Doob, Joseph Leonard 9 Emch, Arnold F. 9 Feller, William 9 Gerstenhaber, Murray 9 Hirsch, Morris W. 9 Kenig, Carlos Eduardo 9 Knebelman, Morris Samuel 9 Lehmer, Derrick Henry 9 Levinson, Norman 9 Minicozzi, William Philip II 9 Moise, Edwin E. ...and 3,690 more Authors all top 5 Fields 585 Number theory (11-XX) 466 Algebraic geometry (14-XX) 322 Differential geometry (53-XX) 320 Manifolds and cell complexes (57-XX) 273 Dynamical systems and ergodic theory (37-XX) 243 Several complex variables and analytic spaces (32-XX) 227 Group theory and generalizations (20-XX) 221 Topological groups, Lie groups (22-XX) 214 Partial differential equations (35-XX) 205 Global analysis, analysis on manifolds (58-XX) 144 Functions of a complex variable (30-XX) 126 Functional analysis (46-XX) 125 Algebraic topology (55-XX) 91 Harmonic analysis on Euclidean spaces (42-XX) 82 Operator theory (47-XX) 81 Combinatorics (05-XX) 75 Measure and integration (28-XX) 74 Probability theory and stochastic processes (60-XX) 63 Nonassociative rings and algebras (17-XX) 60 Mathematical logic and foundations (03-XX) 56 Associative rings and algebras (16-XX) 52 Category theory; homological algebra (18-XX) 52 Abstract harmonic analysis (43-XX) 50 Field theory and polynomials (12-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 50 Convex and discrete geometry (52-XX) 46 General topology (54-XX) 43 Commutative algebra (13-XX) 43 Statistical mechanics, structure of matter (82-XX) 39 Quantum theory (81-XX) 36 Ordinary differential equations (34-XX) 34 Potential theory (31-XX) 33 \(K\)-theory (19-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 29 Fluid mechanics (76-XX) 24 Real functions (26-XX) 23 Special functions (33-XX) 18 Approximations and expansions (41-XX) 17 Mechanics of particles and systems (70-XX) 16 Computer science (68-XX) 14 Relativity and gravitational theory (83-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Geometry (51-XX) 8 Difference and functional equations (39-XX) 8 Integral transforms, operational calculus (44-XX) 6 Sequences, series, summability (40-XX) 6 Numerical analysis (65-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,100 Publications have been cited 186,010 times in 124,685 Documents Cited by ▼ Year ▼ Non-cooperative games. Zbl 0045.08202Nash, John 1,148 1951 Resolution of singularities of an algebraic variety over a field of characteristic zero. I. Zbl 0122.38603Hironaka, H. 894 1964 Minimal varieties in Riemannian manifolds. Zbl 0181.49702Simons, J. 622 1968 Continuous selections. I. Zbl 0071.15902Michael, Ernest 585 1956 On the structure of Hopf algebras. Zbl 0163.28202Milnor, John W.; Moore, J. C. 570 1965 Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Zbl 0527.42011Lieb, Elliott H. 555 1983 Factorization theorems for Hardy spaces in several variables. Zbl 0326.32011Coifman, R. R.; Rochberg, R.; Weiss, Guido 539 1976 Groups of diffeomorphisms and the motion of an incompressible fluid. Zbl 0211.57401Ebin, D. G.; Marsden, J. 538 1970 On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010DiPerna, R. J.; Lions, P. L. 497 1989 Hecke algebra representations of braid groups and link polynomials. Zbl 0631.57005Jones, V. F. 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Zbl 0771.35042Deift, P.; Zhou, X. 415 1993 A global uniqueness theorem for an inverse boundary value problem. Zbl 0625.35078Sylvester, John; Uhlmann, Gunther 407 1987 Sur la distribution limite du terme maximum d’une série aléatoire. Zbl 0063.01643Gnedenko, B. 398 1943 The imbedding problem for Riemannian manifolds. Zbl 0070.38603Nash, John 397 1956 Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063Caffarelli, Luis A.; Vasseur, Alexis 394 2010 A decomposition theorem for partially ordered sets. Zbl 0038.02003Dilworth, R. P. 391 1950 Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702Carleson, Lennart 389 1962 Analytic vectors. Zbl 0091.10704Nelson, Edward 375 1959 Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Zbl 0052.40001Borel, Armand 369 1953 The logic of quantum mechanics. JFM 62.1061.04Birkhoff, Garrett; von Neumann, J. 364 1936 Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\). Zbl 0343.46042Connes, Alain 352 1976 Faisceaux algébriques cohérents. Zbl 0067.16201Serre, Jean-Pierre 350 1955 The existence of minimal immersions of 2-spheres. Zbl 0462.58014Sacks, Jonathan; Uhlenbeck, K. 347 1981 Representations of reductive groups over finite fields. Zbl 0336.20029Deligne, Pierre; Lusztig, G. 341 1976 Normal and integral currents. Zbl 0187.31301Federer, H.; Fleming, W. H. 341 1960 Good reduction of abelian varieties. Zbl 0172.46101Serre, Jean-Pierre; Tate, J. 325 1968 Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1. (Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un.) Zbl 0678.53042Pansu, Pierre 325 1989 On irreducible 3-manifolds which are sufficiently large. Zbl 0157.30603Waldhausen, Friedhelm 322 1968 Irreducible unitary representations of the Lorentz group. Zbl 0045.38801Bargmann, V. 321 1947 Stable and unitary vector bundles on a compact Riemann surface. Zbl 0171.04803Narasimhan, M. S.; Seshadri, C. S. 317 1965 Characteristic vectors of bordered matrices with infinite dimensions. Zbl 0067.08403Wigner, Eugene P. 315 1955 A non-commutative extension of abstract integration. Zbl 0051.34201Segal, I. E. 314 1953 Induced representation of locally compact groups. I. Zbl 0046.11601Mackey, George W. 310 1952 Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501Kostant, Bertram 309 1961 On the first variation of a varifold. Zbl 0252.49028Allard, William K. 307 1972 Groups of homotopy spheres. I. Zbl 0115.40505Kervaire, Michel A.; Milnor, John W. 307 1963 The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals. Zbl 0029.14302Cameron, R. H.; Martin, W. T. 307 1947 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 301 1968 Generalized complex geometry. Zbl 1235.32020Gualtieri, Marco 295 2011 Statistical properties of dynamical systems with some hyperbolicity. Zbl 0945.37009Young, Lai-Sang 292 1998 On unitary representations of the inhomogeneous Lorentz group. Zbl 0020.29601Wigner, Eugene P. 292 1939 The parabolic differential equations and the associated semigroups of transformation. Zbl 0047.09303Feller, Wiliam 291 1952 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049Cheeger, Jeff; Gromoll, Detlef 288 1972 Arithmetic subgroups of algebraic groups. Zbl 0107.14804Borel, Armand; Harish-Chandra 288 1962 On compact analytic surfaces. II. Zbl 0118.15802Kodaira, Kunihiko 285 1963 A model of set-theory in which every set of reals is Lebesgue measurable. Zbl 0207.00905Solovay, R. M. 282 1970 Homogeneous vector bundles. Zbl 0094.35701Bott, Raoul 282 1957 Analyticity of periodic traveling free surface water waves with vorticity. Zbl 1228.35076Constantin, Adrian; Escher, Joachim 281 2011 Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. JFM 47.0399.02Gronwall, T. H. 281 1919 Inequalities in Fourier analysis. Zbl 0338.42017Beckner, William 280 1975 Interior a priori estimates for solutions of fully nonlinear equations. Zbl 0692.35017Caffarelli, Luis A. 279 1989 On the distribution of the roots of certain symmetric matrices. Zbl 0085.13203Wigner, Eugene P. 278 1958 Theory of braids. Zbl 0030.17703Artin, E. 274 1947 On fusion categories. Zbl 1125.16025Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor 273 2005 Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030Taylor, Richard; Wiles, Andrew 272 1995 The dynamics of the Hénon map. Zbl 0724.58042Benedicks, Michael; Carleson, Lennart 271 1991 L’intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes. Zbl 0497.42012Coifman, R. R.; McIntosh, A.; Meyer, Y. 270 1982 On Levi’s problem and the imbedding of real-analytic manifolds. Zbl 0108.07804Grauert, Hans 269 1958 Asymptotics for a class of non-linear evolution equations, with applications to geometric problems. Zbl 0549.35071Simon, Leon 266 1983 The logic of quantum mechanics. Zbl 0015.14603Birkhoff, Garrett; von Neumann, John 264 1936 Characteristic forms and geometric invariants. Zbl 0283.53036Chern, Shiing-shen; Simons, James 259 1974 On rings of operators. Zbl 0014.16101Murray, F. J.; von Neumann, J. 259 1936 Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021Cheng, Shiu-Yuen; Yau, Shing-Tung 255 1976 Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Zbl 0826.58042Beckner, William 254 1993 Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602Baily, W. L. jun.; Borel, Armand 250 1966 On some types of topological groups. Zbl 0034.01803Iwasawa, Kenkichi 250 1949 The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013Quillen, Daniel 248 1971 Curvature functions for compact 2-manifolds. Zbl 0273.53034Kazdan, Jerry L.; Warner, Frank W. 248 1974 On rings of operators. IV. Zbl 0060.26903Murray, F. J.; von Neumann, J. 244 1943 Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102Newlander, A.; Nirenberg, Louis 244 1957 Homologie singulière des espaces fibrés. Applications. Zbl 0045.26003Serre, Jean-Pierre 243 1951 Interval exchange transformations and measured foliations. Zbl 0497.28012Masur, Howard 242 1982 The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin’s entropy formula. II: Relations between entropy, exponents and dimension. Zbl 0605.58028Ledrappier, F.; Young, L.-S. 241 1985 Dehn surgery on knots. Zbl 0633.57006Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B. 240 1987 Two singular diffusion problems. Zbl 0045.04901Feller, William 239 1951 On the existence of slices for actions of non-compact Lie groups. Zbl 0103.01802Palais, Richard S. 237 1961 Stability conditions on triangulated categories. Zbl 1137.18008Bridgeland, Tom 236 2007 Vector fields on spheres. Zbl 0112.38102Adams, J. F. 236 1962 Picard values of meromorphic functions and their derivatives. Zbl 0088.28505Hayman, W. K. 236 1959 On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008Iwasawa, Kenkichi 233 1973 On the non-existence of elements of Hopf invariant one. Zbl 0096.17404Adams, John Frank 232 1960 Holomorphic disks and topological invariants for closed three-manifolds. Zbl 1073.57009Ozsváth, Peter; Szabó, Zoltán 231 2004 Threefolds whose canonical bundles are not numerically effective. Zbl 0557.14021Mori, Shigefumi 230 1982 Gauss measures for transformations on the space of interval exchange maps. Zbl 0486.28014Veech, William A. 229 1982 Riemann’s mapping theorem for variable metrics. Zbl 0104.29902Ahlfors, Lars V.; Bers, Lipman 227 1960 Non-linear semi-groups. Zbl 0204.16004Segal, I. 225 1963 Complete minimal surfaces in \(S^ 3\). Zbl 0205.52001Lawson, H. B. jun. 225 1970 On unitary ray representations of continuous groups. Zbl 0055.10304Bargmann, V. 225 1954 On the periods of certain rational integrals. I, II. Zbl 0215.08103Griffiths, Phillip A. 224 1969 Varieties of group representations and splittings of 3-manifolds. Zbl 0529.57005Culler, Marc; Shalen, Peter B. 220 1983 Isometries of operator algebras. Zbl 0045.06201Kadison, Richard V. 220 1951 Infinitely many Lagrangian fillings. Zbl 07483856Casals, Roger; Gao, Honghao 1 2022 The stable Adams conjecture and higher associative structures on Moore spectra. 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T. 93 Shparlinski, Igor E. 75 Repovš, Dušan D. 72 Lu, Guozhen 71 Simon, Barry 70 Uhlmann, Gunther Alberto 69 Barreira, Luis Manuel 66 Jost, Jürgen 66 Lubotzky, Alexander 66 Valls Anglés, Cláudia 66 Wei, Juncheng 61 Suh, Young Jin 60 Bringmann, Kathrin 60 de Lima, Henrique F. 59 Sukochev, Fedor Anatol’evich 59 Yang, Dachun 58 Kucharz, Wojciech 57 Ballico, Edoardo 57 Bugeaud, Yann 56 Guralnick, Robert Michael 54 Shalev, Aner 53 Damanik, David 53 Kenig, Carlos Eduardo 53 Yau, Shing-Tung 52 Figalli, Alessio 52 Tian, Gang 51 Fefferman, Charles Louis 51 Mitrea, Marius 50 Gonçalves, Daciberg Lima 50 Hofmann, Steve 50 Tiep Pham Huu 49 Krantz, Steven George 48 Forstnerič, Franc 48 Lusztig, George 48 Sarnak, Peter Clive 48 Stein, Elias Menachem 47 Avila Cordeiro de Melo, Artur 47 Félix, Yves 47 Fox, Jacob 47 Loi, Andrea 47 Ohsawa, Takeo 47 Popa, Sorin Teodor 46 Fornæss, John Erik 46 Llibre, Jaume 45 Erdős, László 45 Myasnikov, Alexei G. 45 Pollicott, Mark 44 Benson, David John 44 Lassas, Matti J. 44 Naor, Assaf 44 Yin, Zhaoyang 43 Downey, Rodney Graham 43 Hofmann, Karl Heinrich 43 Li, Ji 43 Liebeck, Martin Walter 43 Lin, Huaxin 42 Friedl, Stefan 42 Friedlander, Eric Mark 42 Meeks, William Hamilton III 42 Wick, Brett D. 41 Ambrosio, Luigi 41 Ding, Yong 41 Dranishnikov, Alexander Nikolaevich 41 Grafakos, Loukas 41 Guo, Boling 41 Kauffman, Louis Hirsch 41 Lin, Chang-Shou 41 Marsden, Jerrold Eldon 41 Pellegrino, Daniel Marinho 40 Bonatti, Christian 40 Brudnyi, Alexander 40 Cutkosky, Steven Dale 40 Farrell, F. Thomas 40 Gover, Ashwin Rod 40 Lubinsky, Doron S. 40 Navarro, Gabriel 40 Ono, Ken 40 Peres, Yuval 39 Bismut, Jean-Michel 39 Caffarelli, Luis Ángel 39 Gilkey, Peter B. 39 Kobayashi, Toshiyuki 39 Kollár, János 39 Miller, Jason P. 39 Steinberg, Benjamin 38 Dimca, Alexandru 38 Dolbeault, Jean 38 Hillman, Jonathan Arthur 38 Ibarra, Oscar H. 38 Kapovich, Ilya 38 Li, Jiayu 38 Lück, Wolfgang 38 Masmoudi, Nader 38 Melbourne, Ian 38 Miao, Changxing ...and 69,364 more Authors all top 5 Cited in 1,323 Journals 4,853 Transactions of the American Mathematical Society 3,852 Proceedings of the American Mathematical Society 3,322 Journal of Algebra 2,947 Advances in Mathematics 2,903 Mathematische Annalen 2,651 Mathematische Zeitschrift 2,416 Journal of Functional Analysis 2,210 Communications in Mathematical Physics 2,206 Inventiones Mathematicae 1,990 Journal of Mathematical Analysis and Applications 1,659 Journal of Mathematical Physics 1,622 Duke Mathematical Journal 1,585 Topology and its Applications 1,482 Journal of Pure and Applied Algebra 1,395 Israel Journal of Mathematics 1,356 Journal of Number Theory 1,267 Journal of Differential Equations 1,203 Annales de l’Institut Fourier 1,196 Communications in Algebra 1,135 Compositio Mathematica 1,117 Bulletin of the American Mathematical Society 1,038 The Journal of Geometric Analysis 989 Manuscripta Mathematica 922 Ergodic Theory and Dynamical Systems 877 Journal of Geometry and Physics 806 Archiv der Mathematik 790 Tohoku Mathematical Journal. 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Series II 250 Journal of Algebraic Geometry 249 Glasgow Mathematical Journal ...and 1,223 more Journals all top 5 Cited in 63 Fields 13,840 Differential geometry (53-XX) 13,675 Algebraic geometry (14-XX) 13,295 Partial differential equations (35-XX) 13,029 Number theory (11-XX) 10,352 Group theory and generalizations (20-XX) 10,307 Manifolds and cell complexes (57-XX) 9,298 Dynamical systems and ergodic theory (37-XX) 8,423 Functional analysis (46-XX) 7,359 Several complex variables and analytic spaces (32-XX) 6,969 Global analysis, analysis on manifolds (58-XX) 5,886 Operator theory (47-XX) 5,636 Topological groups, Lie groups (22-XX) 5,627 Quantum theory (81-XX) 5,596 Probability theory and stochastic processes (60-XX) 5,547 Combinatorics (05-XX) 5,143 Algebraic topology (55-XX) 4,572 Functions of a complex variable (30-XX) 4,355 Associative rings and algebras (16-XX) 3,922 Harmonic analysis on Euclidean spaces (42-XX) 3,825 Nonassociative rings and algebras (17-XX) 3,611 Mathematical logic and foundations (03-XX) 2,889 Commutative algebra (13-XX) 2,742 Category theory; homological algebra (18-XX) 2,731 Computer science (68-XX) 2,672 Ordinary differential equations (34-XX) 2,493 Measure and integration (28-XX) 2,481 General topology (54-XX) 2,405 Fluid mechanics (76-XX) 2,330 Calculus of variations and optimal control; optimization (49-XX) 2,276 Statistical mechanics, structure of matter (82-XX) 2,226 Convex and discrete geometry (52-XX) 2,198 Relativity and gravitational theory (83-XX) 2,108 Linear and multilinear algebra; matrix theory (15-XX) 2,087 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,814 Numerical analysis (65-XX) 1,756 Abstract harmonic analysis (43-XX) 1,576 Real functions (26-XX) 1,545 \(K\)-theory (19-XX) 1,450 Order, lattices, ordered algebraic structures (06-XX) 1,377 Special functions (33-XX) 1,339 Mechanics of particles and systems (70-XX) 1,304 Field theory and polynomials (12-XX) 1,208 Statistics (62-XX) 1,161 Approximations and expansions (41-XX) 1,077 Operations research, mathematical programming (90-XX) 1,043 Geometry (51-XX) 1,034 Potential theory (31-XX) 867 Information and communication theory, circuits (94-XX) 761 Systems theory; control (93-XX) 673 Difference and functional equations (39-XX) 663 History and biography (01-XX) 622 Biology and other natural sciences (92-XX) 597 Mechanics of deformable solids (74-XX) 558 Integral equations (45-XX) 486 Integral transforms, operational calculus (44-XX) 369 Optics, electromagnetic theory (78-XX) 357 General and overarching topics; collections (00-XX) 327 Geophysics (86-XX) 267 Sequences, series, summability (40-XX) 262 General algebraic systems (08-XX) 161 Classical thermodynamics, heat transfer (80-XX) 124 Astronomy and astrophysics (85-XX) 31 Mathematics education (97-XX) Citations by Year