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: 6,260 Publications (since 1899) References Indexed: 666 Publications with 24,232 References. all top 5 Latest Issues 197, No. 2 (2023) 197, No. 1 (2023) 196, No. 3 (2022) 196, No. 2 (2022) 196, No. 1 (2022) 195, No. 3 (2022) 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) ...and 264 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 Tao, Terence 12 Wigner, Eugene Paul 12 Zippin, Leo 11 Bohnenblust, H. Frederic 11 Saurel, P. 11 Simon, Barry 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 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 ...and 3,725 more Authors all top 5 Fields 597 Number theory (11-XX) 476 Algebraic geometry (14-XX) 326 Manifolds and cell complexes (57-XX) 324 Differential geometry (53-XX) 282 Dynamical systems and ergodic theory (37-XX) 250 Several complex variables and analytic spaces (32-XX) 227 Group theory and generalizations (20-XX) 225 Topological groups, Lie groups (22-XX) 219 Partial differential equations (35-XX) 206 Global analysis, analysis on manifolds (58-XX) 145 Functions of a complex variable (30-XX) 128 Functional analysis (46-XX) 128 Algebraic topology (55-XX) 93 Harmonic analysis on Euclidean spaces (42-XX) 82 Operator theory (47-XX) 81 Combinatorics (05-XX) 75 Measure and integration (28-XX) 75 Probability theory and stochastic processes (60-XX) 64 Nonassociative rings and algebras (17-XX) 62 Mathematical logic and foundations (03-XX) 56 Associative rings and algebras (16-XX) 53 Category theory; homological algebra (18-XX) 53 Abstract harmonic analysis (43-XX) 53 Convex and discrete geometry (52-XX) 52 Field theory and polynomials (12-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 48 General topology (54-XX) 47 Statistical mechanics, structure of matter (82-XX) 43 Commutative algebra (13-XX) 41 Quantum theory (81-XX) 37 Ordinary differential equations (34-XX) 35 Potential theory (31-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 34 \(K\)-theory (19-XX) 32 Fluid mechanics (76-XX) 25 Real functions (26-XX) 24 Special functions (33-XX) 20 Mechanics of particles and systems (70-XX) 18 Approximations and expansions (41-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) 7 Numerical analysis (65-XX) 6 Sequences, series, summability (40-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 4 Integral equations (45-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 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 5,144 Publications have been cited 199,249 times in 131,359 Documents Cited by ▼ Year ▼ Non-cooperative games. 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Zbl 0266.10022Shimura, Goro 439 1973 Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063Caffarelli, Luis A.; Vasseur, Alexis 434 2010 A global uniqueness theorem for an inverse boundary value problem. Zbl 0625.35078Sylvester, John; Uhlmann, Gunther 429 1987 Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702Carleson, Lennart 421 1962 The imbedding problem for Riemannian manifolds. Zbl 0070.38603Nash, John 420 1956 Sur la distribution limite du terme maximum d’une série aléatoire. Zbl 0063.01643Gnedenko, B. 416 1943 A decomposition theorem for partially ordered sets. Zbl 0038.02003Dilworth, R. P. 412 1950 The logic of quantum mechanics. JFM 62.1061.04Birkhoff, Garrett; von Neumann, J. 391 1936 Analytic vectors. Zbl 0091.10704Nelson, Edward 385 1959 Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Zbl 0052.40001Borel, Armand 383 1953 Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\). Zbl 0343.46042Connes, Alain 372 1976 Representations of reductive groups over finite fields. Zbl 0336.20029Deligne, Pierre; Lusztig, G. 367 1976 The existence of minimal immersions of 2-spheres. Zbl 0462.58014Sacks, Jonathan; Uhlenbeck, K. 363 1981 Good reduction of abelian varieties. Zbl 0172.46101Serre, Jean-Pierre; Tate, J. 355 1968 Normal and integral currents. Zbl 0187.31301Federer, H.; Fleming, W. H. 354 1960 Faisceaux algébriques cohérents. Zbl 0067.16201Serre, Jean-Pierre 354 1955 On the first variation of a varifold. Zbl 0252.49028Allard, William K. 347 1972 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 345 1989 Generalized complex geometry. Zbl 1235.32020Gualtieri, Marco 345 2011 Stable and unitary vector bundles on a compact Riemann surface. Zbl 0171.04803Narasimhan, M. S.; Seshadri, C. S. 343 1965 Characteristic vectors of bordered matrices with infinite dimensions. Zbl 0067.08403Wigner, Eugene P. 337 1955 On irreducible 3-manifolds which are sufficiently large. Zbl 0157.30603Waldhausen, Friedhelm 334 1968 Irreducible unitary representations of the Lorentz group. Zbl 0045.38801Bargmann, V. 334 1947 A non-commutative extension of abstract integration. Zbl 0051.34201Segal, I. E. 325 1953 Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501Kostant, Bertram 324 1961 The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals. Zbl 0029.14302Cameron, R. H.; Martin, W. T. 322 1947 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 318 1968 Induced representation of locally compact groups. I. Zbl 0046.11601Mackey, George W. 316 1952 Statistical properties of dynamical systems with some hyperbolicity. Zbl 0945.37009Young, Lai-Sang 314 1998 Groups of homotopy spheres. I. Zbl 0115.40505Kervaire, Michel A.; Milnor, John W. 311 1963 On the structure of complete manifolds of nonnegative curvature. Zbl 0246.53049Cheeger, Jeff; Gromoll, Detlef 307 1972 Arithmetic subgroups of algebraic groups. Zbl 0107.14804Borel, Armand; Harish-Chandra 306 1962 Interior a priori estimates for solutions of fully nonlinear equations. Zbl 0692.35017Caffarelli, Luis A. 305 1989 Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. JFM 47.0399.02Gronwall, T. H. 305 1919 The parabolic differential equations and the associated semigroups of transformation. Zbl 0047.09303Feller, Wiliam 305 1952 Analyticity of periodic traveling free surface water waves with vorticity. Zbl 1228.35076Constantin, Adrian; Escher, Joachim 301 2011 On the distribution of the roots of certain symmetric matrices. Zbl 0085.13203Wigner, Eugene P. 301 1958 On fusion categories. Zbl 1125.16025Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor 300 2005 On unitary representations of the inhomogeneous Lorentz group. Zbl 0020.29601Wigner, Eugene P. 300 1939 Inequalities in Fourier analysis. Zbl 0338.42017Beckner, William 297 1975 On compact analytic surfaces. II. Zbl 0118.15802Kodaira, Kunihiko 297 1963 Asymptotics for a class of non-linear evolution equations, with applications to geometric problems. Zbl 0549.35071Simon, Leon 292 1983 A model of set-theory in which every set of reals is Lebesgue measurable. Zbl 0207.00905Solovay, R. M. 292 1970 Theory of braids. Zbl 0030.17703Artin, E. 292 1947 Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030Taylor, Richard; Wiles, Andrew 291 1995 Homogeneous vector bundles. Zbl 0094.35701Bott, Raoul 288 1957 The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013Quillen, Daniel 287 1971 L’intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes. Zbl 0497.42012Coifman, R. R.; McIntosh, A.; Meyer, Y. 282 1982 The dynamics of the Hénon map. Zbl 0724.58042Benedicks, Michael; Carleson, Lennart 279 1991 On Levi’s problem and the imbedding of real-analytic manifolds. Zbl 0108.07804Grauert, Hans 276 1958 The logic of quantum mechanics. Zbl 0015.14603Birkhoff, Garrett; von Neumann, John 276 1936 Interval exchange transformations and measured foliations. Zbl 0497.28012Masur, Howard 274 1982 Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Zbl 0826.58042Beckner, William 274 1993 Stability conditions on triangulated categories. Zbl 1137.18008Bridgeland, Tom 268 2007 Holomorphic disks and topological invariants for closed three-manifolds. Zbl 1073.57009Ozsváth, Peter; Szabó, Zoltán 267 2004 Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021Cheng, Shiu-Yuen; Yau, Shing-Tung 267 1976 Characteristic forms and geometric invariants. Zbl 0283.53036Chern, Shiing-shen; Simons, James 267 1974 Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602Baily, W. L. jun.; Borel, Armand 267 1966 On rings of operators. Zbl 0014.16101Murray, F. J.; von Neumann, J. 266 1936 Gauss measures for transformations on the space of interval exchange maps. Zbl 0486.28014Veech, William A. 263 1982 Curvature functions for compact 2-manifolds. Zbl 0273.53034Kazdan, Jerry L.; Warner, Frank W. 263 1974 The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin’s entropy formula. Zbl 0605.58028Ledrappier, F.; Young, L.-S. 262 1985 On some types of topological groups. Zbl 0034.01803Iwasawa, Kenkichi 262 1949 On rings of operators. IV. Zbl 0060.26903Murray, F. J.; von Neumann, J. 256 1943 Homologie singulière des espaces fibrés. Applications. Zbl 0045.26003Serre, Jean-Pierre 255 1951 Dehn surgery on knots. Zbl 0633.57006Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B. 252 1987 Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102Newlander, A.; Nirenberg, Louis 252 1957 On the periods of certain rational integrals. I, II. Zbl 0215.08103Griffiths, Phillip A. 250 1969 Two singular diffusion problems. Zbl 0045.04901Feller, William 250 1951 Vector fields on spheres. Zbl 0112.38102Adams, J. F. 246 1962 Generic mean curvature flow. I: Generic singularities. Zbl 1239.53084Colding, Tobias H.; Minicozzi, William P. II 244 2012 On the existence of slices for actions of non-compact Lie groups. Zbl 0103.01802Palais, Richard S. 244 1961 On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008Iwasawa, Kenkichi 243 1973 Threefolds whose canonical bundles are not numerically effective. Zbl 0557.14021Mori, Shigefumi 243 1982 Picard values of meromorphic functions and their derivatives. Zbl 0088.28505Hayman, W. K. 242 1959 A proof of Langlands’ conjecture on Plancherel measures; complementary series for \(p\)-adic groups. Zbl 0780.22005Shahidi, Freydoon 241 1990 On the non-existence of elements of Hopf invariant one. Zbl 0096.17404Adams, John Frank 241 1960 Riemann’s mapping theorem for variable metrics. Zbl 0104.29902Ahlfors, Lars V.; Bers, Lipman 235 1960 Complete minimal surfaces in \(S^ 3\). Zbl 0205.52001Lawson, H. B. jun. 235 1970 Varieties of group representations and splittings of 3-manifolds. Zbl 0529.57005Culler, Marc; Shalen, Peter B. 234 1983 Non-linear semi-groups. Zbl 0204.16004Segal, I. 232 1963 Smooth mixing Anosov flows in dimension three are exponentially mixing. Zbl 07623022Tsujii, Masato; Zhang, Zhiyuan 1 2023 Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra. 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Zbl 1451.05087Shitov, Yaroslav 23 2019 ...and 1863 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 73,023 Authors 126 Biswas, Indranil 123 Luca, Florian 114 Tao, Terence 113 Shelah, Saharon 98 Jørgensen, Palle E. 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Thomas 40 Gilkey, Peter B. 40 Kapovich, Ilya 40 Lubinsky, Doron S. 40 Lück, Wolfgang 40 Mazorchuk, Volodymyr 40 Peres, Yuval 40 Xiao, Jie 39 Caffarelli, Luis Ángel 39 Dimca, Alexandru ...and 72,923 more Authors all top 5 Cited in 1,373 Journals 4,996 Transactions of the American Mathematical Society 3,954 Proceedings of the American Mathematical Society 3,428 Journal of Algebra 3,129 Advances in Mathematics 2,948 Mathematische Annalen 2,744 Mathematische Zeitschrift 2,494 Journal of Functional Analysis 2,283 Communications in Mathematical Physics 2,252 Inventiones Mathematicae 2,065 Journal of Mathematical Analysis and Applications 1,701 Journal of Mathematical Physics 1,650 Duke Mathematical Journal 1,636 Topology and its Applications 1,532 Journal of Pure and Applied Algebra 1,434 Israel Journal of Mathematics 1,415 Journal of Number Theory 1,314 Journal of Differential Equations 1,244 Annales de l’Institut Fourier 1,225 Communications in Algebra 1,169 Compositio Mathematica 1,117 Bulletin of the American Mathematical Society 1,094 The Journal of Geometric Analysis 1,010 Manuscripta Mathematica 951 Ergodic Theory and Dynamical Systems 910 Journal of Geometry and Physics 826 Algebraic & Geometric Topology 823 Archiv der Mathematik 817 Geometriae Dedicata 813 Journal of High Energy Physics 802 Calculus of Variations and Partial Differential Equations 793 Tôhoku Mathematical Journal. 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