Edit Profile (opens in new tab) Tao, Terence Co-Author Distance Author ID: tao.terence-c Published as: Tao, Terence; Tao, Terence C.; Tao, Terry; Tao, Terence Chi-Shen; Tao, Terence C. S.; Tao, Terrence; Tao, T. more...less Further Spellings: Tao, Chi-Shen Homepage: https://www.math.ucla.edu/~tao/ External Links: MacTutor · MGP · ORCID · Wikidata · Google Scholar · MathOverflow · Math-Net.Ru · dblp · GND · IdRef Awards: Clay Research Award (2003) · Fields Medal (2006) · Breakthrough Prize in Mathematics (2014) Documents Indexed: 362 Publications since 1992, including 28 Books 5 Contributions as Editor · 3 Further Contributions Reviewing Activity: 111 Reviews Biographic References: 10 Publications Co-Authors: 147 Co-Authors with 232 Joint Publications 4,445 Co-Co-Authors all top 5 Co-Authors 136 single-authored 34 Vũ Hà Văn 32 Green, Ben Joseph 18 Keel, Markus 18 Thiele, Christoph Martin 16 Colliander, James E. 15 Staffilani, Gigliola 15 Ziegler, Tamar 14 Takaoka, Hideo 13 Muscalu, Camil 8 Breuillard, Emmanuel 8 Katz, Nets Hawk 8 Matomäki, Kaisa 7 Radziwiłł, Maksym 7 Teräväinen, Joni 6 Candès, Emmanuel J. 6 Ford, Kevin B. 6 Wright, James Robert 5 Christ, Michael 5 Hassell, Andrew 5 Knutson, Allen 5 Maynard, James 5 Seeger, Andreas 5 Visan, Monica 4 Bergelson, Vitaly 4 de Gier, Jan 4 Konyagin, Sergeĭ Vladimirovich 4 Praeger, Cheryl Elisabeth 4 Rodnianski, Igor 4 Wood, David Ronald 3 Bennett, Jonathan M. 3 Carbery, Anthony 3 Demeter, Ciprian 3 Jamneshan, Asgar 3 Łaba, Izabella 3 Polymath, D. H. J. 3 Vargas, Ana M. 3 Zhang, Xiaoyi 2 Austin, Tim D. 2 Castryck, Wouter 2 Eisner, Tanja 2 Fefferman, Charles Louis 2 Grafakos, Loukas 2 Guralnick, Robert Michael 2 Harcos, Gergely 2 Iosevich, Alex 2 Khare, Apoorva 2 Kowalski, Emmanuel 2 Lacey, Michael T. 2 Lanzani, Loredana 2 Michel, Philippe Gabriel 2 Mirek, Mariusz 2 Nagel, Alexander 2 Naor, Assaf 2 Oberlin, Richard 2 Phong, Duong Hong 2 Pierce, Lillian B. 2 Pipher, Jill Catherine 2 Pomerance, Carl Bernard 2 Ricci, Fulvio 2 Romberg, Justin K. 2 Shao, Xuancheng 2 Sogge, Christopher D. 2 Sutherland, Andrew V. 2 Wainger, Stephen 2 Woodward, Christopher T. 2 Wunsch, Jared 1 Astala, Kari 1 Auscher, Pascal 1 Banks, William David 1 Beckner, William 1 Bejenaru, Ioan 1 Bloom, Walter R. 1 Bourgain, Jean 1 Chang, Sun-Yung Alice 1 Chernikov, Artem 1 Cladek, Laura 1 Córdoba Barba, Antonio Juan 1 Cordoba, Diego 1 Costello, Kevin Patrick 1 Cowling, Michael G. 1 Croot, Ernest III 1 Dafni, Galia 1 Daubechies, Ingrid Chantal 1 Delbaen, Freddy 1 Denton, Peter B. 1 Ellenberg, Jordan Stuart 1 Elsholtz, Christian 1 Erdős, László 1 Esser, Louis 1 Filoche, Marcel 1 Fouvry, Etienne 1 Frantzikinakis, Nikos 1 Fröhlich, Jürg Martin 1 Gardner, Richard J. 1 Gibson, Andrew J. 1 Gomba, Irene 1 Graham, C. Robin 1 Greenfeld, Rachel 1 Greengard, Leslie F. 1 Guth, Lawrence David ...and 81 more Co-Authors all top 5 Serials 13 Geometric and Functional Analysis. GAFA 12 Annals of Mathematics. Second Series 10 Journal of the American Mathematical Society 10 Mathematical Research Letters 10 Texts and Readings in Mathematics 9 American Journal of Mathematics 9 Bulletin of the American Mathematical Society. New Series 8 Journal d’Analyse Mathématique 8 Duke Mathematical Journal 8 Notices of the American Mathematical Society 8 Analysis & PDE 6 Acta Mathematica 6 Journal of Functional Analysis 6 Revista Matemática Iberoamericana 6 Dynamics of Partial Differential Equations 6 Contributions to Discrete Mathematics 6 Graduate Studies in Mathematics 6 Forum of Mathematics, Sigma 5 Mathematische Annalen 5 Communications in Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 5 Journal of the European Mathematical Society (JEMS) 5 Forum of Mathematics, Pi 4 Communications in Mathematical Physics 4 IEEE Transactions on Information Theory 4 Mathematics of Computation 4 Mathematika 4 Probability Theory and Related Fields 4 Journal of the Australian Mathematical Society 4 Algebra & Number Theory 4 Discrete Analysis 4 MATRIX Book Series 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 The Annals of Probability 3 The Australian Mathematical Society Gazette 3 Indiana University Mathematics Journal 3 Inventiones Mathematicae 3 Proceedings of the London Mathematical Society. Third Series 3 Combinatorica 3 Random Structures & Algorithms 3 IMRN. International Mathematics Research Notices 3 Electronic Journal of Differential Equations (EJDE) 3 The Electronic Journal of Combinatorics 3 The New York Journal of Mathematics 3 The Quarterly Journal of Mathematics 2 Journal of Mathematical Physics 2 Collectanea Mathematica 2 Journal of Differential Equations 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 European Journal of Combinatorics 2 Ergodic Theory and Dynamical Systems 2 Discrete & Computational Geometry 2 Publicacions Matemàtiques 2 SIAM Journal on Mathematical Analysis 2 Journal de Théorie des Nombres de Bordeaux 2 Applied and Computational Harmonic Analysis 2 Combinatorics, Probability and Computing 2 Journal of Hyperbolic Differential Equations 2 Cambridge Studies in Advanced Mathematics 2 Electronic Research Announcements in Mathematical Sciences 2 Random Matrices: Theory and Applications 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Studia Mathematica 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 The Annals of Statistics 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of Operator Theory 1 Acta Mathematica Hungarica 1 Forum Mathematicum 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the National Academy of Sciences of the United States of America 1 Communications in Analysis and Geometry 1 Advances in Applied Clifford Algebras 1 Electronic Journal of Probability 1 The Journal of Fourier Analysis and Applications 1 European Mathematical Society Newsletter 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Proceedings of the Steklov Institute of Mathematics 1 Groups, Geometry, and Dynamics 1 Journal of Combinatorics ...and 7 more Serials all top 5 Fields 112 Number theory (11-XX) 89 Partial differential equations (35-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 55 Dynamical systems and ergodic theory (37-XX) 43 Combinatorics (05-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 36 Probability theory and stochastic processes (60-XX) 21 Group theory and generalizations (20-XX) 20 General and overarching topics; collections (00-XX) 19 Measure and integration (28-XX) 18 Functional analysis (46-XX) 16 Real functions (26-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 History and biography (01-XX) 12 Operator theory (47-XX) 10 Abstract harmonic analysis (43-XX) 10 Convex and discrete geometry (52-XX) 9 Fluid mechanics (76-XX) 9 Information and communication theory, circuits (94-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Statistics (62-XX) 7 Quantum theory (81-XX) 6 Integral transforms, operational calculus (44-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 4 Mathematical logic and foundations (03-XX) 4 Geometry (51-XX) 4 Operations research, mathematical programming (90-XX) 3 Category theory; homological algebra (18-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Manifolds and cell complexes (57-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 336 Publications have been cited 16,594 times in 10,110 Documents Cited by ▼ Year ▼ Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. Zbl 1231.94017Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence 1,009 2006 Endpoint Strichartz estimates. Zbl 0922.35028Keel, Markus; Tao, Terence 804 1998 The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder). Zbl 1139.62019Candès, Emmanuel; Tao, Terence 694 2007 Decoding by linear programming. Zbl 1264.94121Candès, Emmanuel J.; Tao, Terence 694 2005 Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence 672 2006 Nonlinear dispersive equations. Local and global analysis. Zbl 1106.35001Tao, Terence 635 2006 Near-optimal signal recovery from random projections: universal encoding strategies? Zbl 1309.94033Candès, Emmanuel J.; Tao, Terence 506 2006 Additive combinatorics. Zbl 1127.11002Tao, Terence; Vu, Van H. 386 2006 Sharp global well-posedness for KdV and modified KdV on \(\mathbb R\) and \(\mathbb T\). Zbl 1025.35025Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 302 2003 The power of convex relaxation: near-optimal matrix completion. Zbl 1366.15021Candès, Emmanuel J.; Tao, Terence 297 2010 The primes contain arbitrarily long arithmetic progressions. Zbl 1191.11025Green, Ben; Tao, Terence 240 2008 Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\). Zbl 1178.35345Colliander, James; Keel, Markus; Staffilani, Gigiola; Takaoka, Hideo; Tao, Terence 224 2008 Topics in random matrix theory. Zbl 1256.15020Tao, Terence 220 2012 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101Christ, Michael; Colliander, James; Tao, Terrence 218 2003 Random matrices: universality of local eigenvalue statistics. Zbl 1217.15043Tao, Terence; Vu, Van 193 2011 The honeycomb model of \(\text{GL}_n(\mathbb C)\) tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097Knutson, Allen; Tao, Terence 190 1999 A sum-product estimate in finite fields, and applications. Zbl 1145.11306Bourgain, Jean; Katz, N.; Tao, Terence C. 189 2004 Fuglede’s conjecture is false in 5 and higher dimensions. Zbl 1092.42014Tao, Terence 186 2004 Multilinear weighted convolution of \(L^2\) functions, and applications to nonlinear dispersive equations. Zbl 0998.42005Tao, Terence 171 2001 A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011Tao, Terence C. 144 2003 Linear equations in primes. Zbl 1242.11071Green, Benjamin; Tao, Terence 142 2010 Random matrices: universality of ESDs and the circular law. Zbl 1203.15025Tao, Terence; Vu, Van; Krishnapur, Manjunath 136 2010 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 122 2007 On the multilinear restriction and Kakeya conjectures. Zbl 1203.42019Bennett, Jonathan; Carbery, Anthony; Tao, Terence 119 2006 The Möbius function is strongly orthogonal to nilsequences. Zbl 1347.37019Green, Ben; Tao, Terence 117 2012 The honeycomb model of \(\text{GL}_n({\mathbb C})\) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone. Zbl 1043.05111Knutson, Allen; Tao, Terence; Woodward, Christopher 117 2004 Random matrices: Universality of local eigenvalue statistics up to the edge. Zbl 1202.15038Tao, Terence; Vu, Van 114 2010 Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation. Zbl 1197.35265Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence 113 2010 A bilinear approach to the restriction and Kakeya conjectures. Zbl 0924.42008Tao, Terence; Vargas, Ana; Vega, Luis 111 1998 Inverse Littlewood-Offord theorems and the condition number of random discrete matrices. Zbl 1250.60023Tao, Terence; Vu, Van H. 108 2009 Global well-posedness of the Benjamin-Ono equation in \(H^ 1(R)\). Zbl 1055.35104Tao, Terence 103 2004 An inverse theorem for the Gowers \(U^{s+1}[N]\)-norm. Zbl 1282.11007Green, Ben; Tao, Terence; Ziegler, Tamar 101 2012 The quantitative behaviour of polynomial orbits on nilmanifolds. Zbl 1251.37012Green, Ben; Tao, Terence 97 2012 Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem. Zbl 1266.46017Naor, Assaf; Tao, Terence 96 2012 Random matrices: the circular law. Zbl 1156.15010Tao, Terence; Van, Vu 94 2008 Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation. Zbl 1090.35162Bejenaru, Ioan; Tao, Terence 91 2006 Global regularity of wave maps. II: Small energy in two dimensions. Zbl 1020.35046Tao, Terence 90 2001 The cubic nonlinear Schrödinger equation in two dimensions with radial data. Zbl 1187.35237Killip, Rowan; Tao, Terence; Visan, Monica 88 2009 Product set estimates for non-commutative groups. Zbl 1254.11017Tao, Terence 87 2008 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 85 2008 Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004Tao, Terence 84 2008 Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177Tao, Terence 83 2009 Multilinear estimates for periodic KdV equations, and applications. Zbl 1062.35109Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 83 2004 Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063Knutson, Allen; Tao, Terence 82 2003 An introduction to measure theory. Zbl 1231.28001Tao, Terence 82 2011 A refined global well-posedness result for Schrödinger equations with derivative. Zbl 1034.35120Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 81 2002 Approximate subgroups of linear groups. Zbl 1229.20045Breuillard, Emmanuel; Green, Ben; Tao, Terence 81 2011 Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on \(\mathbb R^3\). Zbl 1060.35131Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 80 2004 Bi-parameter paraproducts. Zbl 1087.42016Muscalu, Camil; Pipher, Jill; Tao, Terence; Thiele, Christoph 78 2004 Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation. Zbl 1152.35491Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 78 2002 Global well-posedness for Schrödinger equations with derivative. Zbl 1002.35113Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 75 2001 A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013Tao, Terence C.; Vargas, Ana M. 72 2000 Some recent progress on the restriction conjecture. Zbl 1083.42008Tao, Terence 72 2004 The structure of approximate groups. Zbl 1260.20062Breuillard, Emmanuel; Green, Ben; Tao, Terence 69 2012 On the singularity probability of random Bernoulli matrices. Zbl 1116.15021Tao, Terence; Vu, Van 67 2007 An uncertainty principle for cyclic groups of prime order. Zbl 1080.42002Tao, Terence 66 2005 An inverse theorem for the Gowers \(U^3(G)\) norm. Zbl 1202.11013Green, Ben; Tao, Terence 65 2008 Multi-linear operators given by singular multipliers. Zbl 0994.42015Muscalu, Camil; Tao, Terence; Thiele, Christoph 64 2002 An averaged form of Chowla’s conjecture. Zbl 1377.11109Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 64 2015 A variant of the hypergraph removal lemma. Zbl 1105.05052Tao, Terence 62 2006 Finite time blowup for an averaged three-dimensional Navier-Stokes equation. Zbl 1342.35227Tao, Terence 61 2016 Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. Zbl 1187.35246Tao, Terence; Visan, Monica; Zhang, Xiaoyi 61 2007 The Bochner-Riesz conjecture implies the restriction conjecture. Zbl 0980.42006Tao, Terence 60 1999 A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012Tao, Terence C.; Vargas, Ana M. 59 2000 Why are solitons stable? Zbl 1155.35082Tao, Terence 58 2009 From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices. Zbl 1168.15018Tao, Terence; Vu, Van 56 2009 Random matrices: universality of local spectral statistics of non-Hermitian matrices. Zbl 1316.15042Tao, Terence; Vu, Van 56 2015 Random symmetric matrices are almost surely nonsingular. Zbl 1110.15020Costello, Kevin P.; Tao, Terence; Vu, Van 56 2006 Random covariance matrices: universality of local statistics of eigenvalues. Zbl 1247.15036Tao, Terence; Vu, Van 55 2012 An incidence theorem in higher dimensions. Zbl 1253.51004Solymosi, József; Tao, Terence 55 2012 On random \(\pm 1\) matrices: Singularity and determinant. Zbl 1086.60008Tao, Terence; Vu, Van 55 2006 The Fuglede spectral conjecture holds for convex planar domains. Zbl 1087.42018Iosevich, Alex; Katz, Nets; Tao, Terence 55 2003 Global regularity of wave maps. I: Small critical Sobolev norm in high dimension. Zbl 0983.35080Tao, Terence 54 2001 Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation. Zbl 0966.35027Tao, Terence 54 2000 Minimal-mass blowup solutions of the mass-critical NLS. Zbl 1154.35085Tao, Terence; Visan, Monica; Zhang, Xiaoyi 54 2008 Random matrices: The distribution of the smallest singular values. Zbl 1210.60014Tao, Terence; Vu, Van 53 2010 Some connections between Falconer’s distance set conjecture and sets of Furstenburg type. Zbl 0991.28006Katz, Nets Hawk; Tao, Terence 53 2001 Structure and randomness. Pages from year one of a mathematical blog. Zbl 1245.00024Tao, Terence 53 2008 Multi-parameter paraproducts. Zbl 1114.42005Muscalu, Camil; Pipher, Jill; Tao, Terence; Thiele, Christoph 52 2006 A variation norm Carleson theorem. Zbl 1246.42016Oberlin, Richard; Seeger, Andreas; Tao, Terence; Thiele, Christoph; Wright, James 48 2012 \(L^p\) improving bounds for averages along curves. Zbl 1080.42007Tao, Terence; Wright, James 48 2003 Hilbert’s fifth problem and related topics. Zbl 1298.22001Tao, Terence 48 2014 Restriction and Kakeya phenomena for finite fields. Zbl 1072.42007Mockenhaupt, Gerd; Tao, Terence 47 2004 Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data. Zbl 1119.35092Tao, Terence 47 2005 Honeycombs and sums of Hermitian matrices. Zbl 1047.15006Knutson, Allen; Tao, Terence 46 2001 Effective limiting absorption principles, and applications. Zbl 1310.35204Rodnianski, Igor; Tao, Terence 46 2015 Operator splitting for the KdV equation. Zbl 1219.35235Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 46 2011 Stability of energy-critical nonlinear Schrödinger equations in high dimensions. Zbl 1245.35122Tao, Terence; Visan, Monica 45 2005 Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer 45 2010 Smooth analysis of the condition number and the least singular value. Zbl 1253.65067Tao, Terence; Vu, Van 44 2010 Random matrices: universal properties of eigenvectors. Zbl 1248.15031Tao, Terence; Vu, Van 44 2012 An arithmetic regularity lemma, an associated counting lemma, and applications. Zbl 1222.11015Green, Ben; Tao, Terence 44 2010 On sets defining few ordinary lines. Zbl 1309.51002Green, Ben; Tao, Terence 43 2013 The logarithmically averaged Chowla and Elliott conjectures for two-point correlations. Zbl 1383.11116Tao, Terence 43 2016 Carleson measures, trees, extrapolation, and \(T(b)\) theorems. Zbl 1027.42009Auscher, P.; Hofmann, S.; Muscalu, Camil; Tao, Terence C.; Thiele, Christoph 42 2002 A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043Tao, Terence; Tian, Gang 42 2004 Additive combinatorics. Paperback reprint of the 2006 hardback ed. Zbl 1179.11002Tao, Terence; Vu, Van H. 42 2010 A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order. Zbl 1136.35087Christ, Michael; Colliander, James; Tao, Terence 41 2008 Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates. Zbl 0992.42004Tao, Terence 40 2001 On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation. Zbl 1082.35144Tao, Terence 40 2004 Higher uniformity of bounded multiplicative functions in short intervals on average. Zbl 1521.11059Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence; Teräväinen, Joni; Ziegler, Tamar 2 2023 Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration. Zbl 07687928Jamneshan, Asgar; Tao, Terence 1 2023 An uncountable Moore-Schmidt theorem. Zbl 1521.37002Jamneshan, Asgar; Tao, Terence 1 2023 Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. Zbl 1481.15008Denton, Peter B.; Parke, Stephen J.; Tao, Terence; Zhang, Xining 15 2022 Pointwise ergodic theorems for non-conventional bilinear polynomial averages. Zbl 1505.37010Krause, Ben; Mirek, Mariusz; Tao, Terence 4 2022 Almost all orbits of the Collatz map attain almost bounded values. Zbl 1502.11035Tao, Terence 3 2022 An uncountable Mackey-Zimmer theorem. Zbl 1506.37002Jamneshan, Asgar; Tao, Terence 3 2022 Fractional free convolution powers. Zbl 1518.46046Shlyakhtenko, Dimitri; Tao, Terence 3 2022 Homogenization of iterated singular integrals with applications to random quasiconformal maps. Zbl 1516.30027Astala, Kari; Rohde, Steffen; Saksman, Eero; Tao, Terence 2 2022 Sendov’s conjecture for sufficiently-high-degree polynomials. Zbl 1515.30032Tao, Terence 2 2022 Singmaster’s conjecture in the interior of Pascal’s triangle. Zbl 1500.11018Matomäki, Kaisa; Radziwiłł, Maksym; Shao, Xuancheng; Tao, Terence; Teräväinen, Joni 1 2022 Optimal sine and sawtooth inequalities. Zbl 1492.11119Esser, Louis; Tao, Terence; Totaro, Burt; Wang, Chengxi 1 2022 On the sign patterns of entrywise positivity preservers in fixed dimension. Zbl 1487.30003Khare, Apoorva; Tao, Terence 10 2021 Quantitative bounds for critically bounded solutions to the Navier-Stokes equations. Zbl 1512.35490Tao, Terence 7 2021 The structure of translational tilings in \(\mathbb{Z}^d\). Zbl 1482.05036Greenfeld, Rachel; Tao, Terence 6 2021 Zarankiewicz’s problem for semilinear hypergraphs. Zbl 1473.05133Basit, Abdul; Chernikov, Artem; Starchenko, Sergei; Tao, Terence; Tran, Chieu-Minh 3 2021 The Ionescu-Wainger multiplier theorem and the adeles. Zbl 07738336Tao, Terence 2 2021 Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle. Zbl 1481.28008Cladek, Laura; Tao, Terence 2 2021 Exploring the toolkit of Jean Bourgain. Zbl 1466.28001Tao, Terence 2 2021 The effective potential of an \(M\)-matrix. Zbl 1462.81088Filoche, Marcel; Mayboroda, Svitlana; Tao, Terence 2 2021 Embedding the Heisenberg group into a bounded-dimensional Euclidean space with optimal distortion. Zbl 1461.30134Tao, Terence 1 2021 Long gaps in sieved sets. Zbl 1468.11197Ford, Kevin; Konyagin, Sergey; Maynard, James; Pomerance, Carl Bernard; Tao, Terence 1 2021 The de Bruijn-Newman constant is non-negative. Zbl 1454.11158Rodgers, Brad; Tao, Terence 18 2020 Fourier uniformity of bounded multiplicative functions in short intervals on average. Zbl 1459.11186Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 10 2020 On the universality of the incompressible Euler equation on compact manifolds. II. Non-rigidity of Euler flows. Zbl 1470.35273Tao, Terence 5 2020 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 4 2020 Sharp bounds for multilinear curved Kakeya, restriction and oscillatory integral estimates away from the endpoint. Zbl 1442.42042Tao, Terence 3 2020 The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures. Zbl 1436.11115Tao, Terence; Teräväinen, Joni 28 2019 Correlations of the von Mangoldt and higher divisor functions. I. Long shift ranges. Zbl 1426.11107Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 14 2019 The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures. Zbl 1476.11127Tao, Terence; Teräväinen, Joni 9 2019 Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges. Zbl 1416.11138Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 8 2019 Value patterns of multiplicative functions and related sequences. Zbl 1433.11112Tao, Terence; Teräväinen, Joni 2 2019 Least singular value, circular law, and Lindeberg exchange. Zbl 1451.15002Tao, Terence 1 2019 Commutators close to the identity. Zbl 1449.47037Tao, Terence 1 2019 Long gaps between primes. Zbl 1392.11071Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence 27 2018 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255Tao, Terence; Teräväinen, Joni 15 2018 Some remarks on the lonely runner conjecture. Zbl 1451.11088Tao, Terence 10 2018 On the universality of the incompressible Euler equation on compact manifolds. Zbl 1397.35193Tao, Terence 8 2018 Polynomial patterns in the primes. Zbl 1459.11030Tao, Terence; Ziegler, Tamar 6 2018 Schur polynomials, entrywise positivity preservers, and weak majorization. Zbl 1411.05263Khare, Apoorva; Tao, Terence 5 2018 An inverse theorem for an inequality of Kneser. Zbl 1426.43001Tao, Terence 5 2018 Finite time blowup for a supercritical defocusing nonlinear Schrödinger system. Zbl 1375.35435Tao, Terence 2 2018 The mathematics of Cathleen Synge Morawetz. Zbl 1398.01036Gomba, Irene; Sormani, Christina; Tao, Terence; Greengard, Leslie; Sánchez-Vizuet, Tonatiuh; Payne, Kevin R. 1 2018 Chains of large gaps between primes. Zbl 1456.11173Ford, Kevin; Maynard, James; Tao, Terence 1 2018 Random matrices have simple spectrum. Zbl 1399.60008Tao, Terence; Vu, V. 27 2017 Equivalence of the logarithmically averaged Chowla and Sarnak conjectures. Zbl 1426.11111Tao, Terence 22 2017 Random matrices: tail bounds for gaps between eigenvalues. Zbl 1391.15111Nguyen, Hoi; Tao, Terence; Vu, Van 19 2017 An integration approach to the Toeplitz square peg problem. Zbl 1422.52001Tao, Terence 15 2017 New bounds for Szemerédi’s theorem. III: A polylogarithmic bound for \(r_{4}(n)\). Zbl 1434.11037Green, Ben; Tao, Terence 14 2017 Sum-free sets in groups: a survey. Zbl 1431.11026Tao, Terence; Vu, Van 10 2017 Inverse theorems for sets and measures of polynomial growth. Zbl 1400.11133Tao, Terence 7 2017 On the universality of potential well dynamics. Zbl 1383.37016Tao, Terence 6 2017 Ad honorem Charles Fefferman. Zbl 1377.01024Córdoba, Antonio; Stein, Elias; Tao, Terence; Nirenberg, Louis; Kohn, Joseph J.; Chang, Sun-Yung Alice; Graham, C. Robin; Córdoba, Diego; Klartag, Bo’az; Fröhlich, Jürg; Seco, Luis; Weinstein, Michael 2 2017 A bound on partitioning clusters. Zbl 1432.05114Kane, Daniel; Tao, Terence 2 2017 Finite time blowup for an averaged three-dimensional Navier-Stokes equation. Zbl 1342.35227Tao, Terence 61 2016 The logarithmically averaged Chowla and Elliott conjectures for two-point correlations. Zbl 1383.11116Tao, Terence 43 2016 Large gaps between consecutive prime numbers. Zbl 1338.11083Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence 21 2016 The Erdös discrepancy problem. Zbl 1353.11087Tao, Terence 21 2016 Sign patterns of the Liouville and Möbius functions. Zbl 1394.11066Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 19 2016 Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181Tao, Terence 14 2016 Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors. Zbl 1400.11028Tao, Terence; Ziegler, Tamar 10 2016 Cancellation for the multilinear Hilbert transform. Zbl 1369.42014Tao, Terence 9 2016 Finite-time blowup for a supercritical defocusing nonlinear wave system. Zbl 1365.35111Tao, Terence 6 2016 Sum-avoiding sets in groups. Zbl 1400.11027Tao, Terence; Vu, Van 5 2016 Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity. Zbl 1353.35254Tao, Terence 3 2016 Analysis II. 3rd edition, reprint of the 2014 hardback. Zbl 1345.26002Tao, Terence 2 2016 An averaged form of Chowla’s conjecture. Zbl 1377.11109Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 64 2015 Random matrices: universality of local spectral statistics of non-Hermitian matrices. Zbl 1316.15042Tao, Terence; Vu, Van 56 2015 Effective limiting absorption principles, and applications. Zbl 1310.35204Rodnianski, Igor; Tao, Terence 46 2015 Local universality of zeroes of random polynomials. Zbl 1360.60102Tao, Terence; Vu, Van 38 2015 Expansion in finite simple groups of Lie type. Zbl 1331.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 21 2015 Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets. Zbl 1370.11135Tao, Terence 18 2015 Expansion in finite simple groups of Lie type. Zbl 1336.20015Tao, Terence 11 2015 A multi-dimensional Szemerédi theorem for the primes via a correspondence principle. Zbl 1414.11019Tao, Terence; Ziegler, Tamar 8 2015 Failure of the \(L^1\) pointwise and maximal ergodic theorems for the free group. Zbl 1359.37010Tao, Terence 7 2015 Multiple recurrence and convergence results associated to \(\mathbb F_P^\omega\)-actions. Zbl 1361.37006Bergelson, Vitaly; Tao, Terence; Ziegler, Tamar 7 2015 Narrow progressions in the primes. Zbl 1391.11131Tao, Terence; Ziegler, Tamar 5 2015 The Elliott-Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture. Zbl 1319.11067Tao, Terence 4 2015 Hilbert’s fifth problem and related topics. Zbl 1298.22001Tao, Terence 48 2014 Random matrices: The universality phenomenon for Wigner ensembles. Zbl 1310.15077Tao, Terence; Vu, Van 30 2014 New equidistribution estimates of Zhang type. Zbl 1307.11097Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng 29 2014 Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory. Zbl 1294.05044Tao, Terence 25 2014 Every odd number greater than 1 is the sum of at most five primes. Zbl 1318.11126Tao, Terence 11 2014 Multiple recurrence in quasirandom groups. Zbl 1336.37007Bergelson, Vitaly; Tao, Terence 11 2014 Random matrices: the four-moment theorem for Wigner ensembles. Zbl 1327.15075Tao, Terence; Vu, Van 8 2014 On the quantitative distribution of polynomial nilsequences – erratum. Zbl 1290.37004Green, Ben; Tao, Terence 7 2014 Multi-linear multipliers associated to simplexes of arbitrary length. Zbl 1354.42006Muscalu, Camil; Tao, Terence; Thiele, Christoph 3 2014 The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe 3 2014 Analysis I. 3rd ed. Zbl 1300.26002Tao, Terence 2 2014 Analysis II. 3rd ed. Zbl 1300.26003Tao, Terence 1 2014 On sets defining few ordinary lines. Zbl 1309.51002Green, Ben; Tao, Terence 43 2013 Outliers in the spectrum of iid matrices with bounded rank perturbations. Zbl 1261.60009Tao, Terence 27 2013 Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018Elsholtz, Christian; Tao, Terence 18 2013 Localisation and compactness properties of the Navier-Stokes global regularity problem. Zbl 1287.35058Tao, Terence 16 2013 Random matrices: sharp concentration of eigenvalues. Zbl 1296.15022Tao, Terence; Vu, Van 15 2013 The asymptotic distribution of a single eigenvalue gap of a Wigner matrix. Zbl 1280.15023Tao, Terence 12 2013 Small doubling in groups. Zbl 1333.11028Breuillard, Emmanuel; Green, Ben; Tao, Terence 9 2013 A nilpotent Freiman dimension lemma. Zbl 1294.22004Breuillard, Emmanuel; Green, Ben; Tao, Terence 7 2013 Compactness and contradiction. Zbl 1276.00007Tao, Terence 6 2013 Mixing for progressions in nonabelian groups. Zbl 1328.20065Tao, Terence 5 2013 ...and 236 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,927 Authors 146 Tao, Terence 53 Bourgain, Jean 48 Lee, Sanghyuk 46 Shkredov, Il’ya Dmitrievich 46 Vũ Hà Văn 44 Miao, Changxing 43 Erdős, László 41 Oh, Tadahiro 40 Zheng, Jiqiang 34 Tataru, Daniel 32 Iosevich, Alex 32 Kenig, Carlos Eduardo 32 Koh, Doowon 32 Tzvetkov, Nikolay 31 Himonas, A. Alexandrou 29 Rauhut, Holger 29 Yau, Horng-Tzer 28 Chen, Wengu 28 Guo, Zihua 28 Zhang, Junyong 26 Green, Ben Joseph 26 Saanouni, Tarek 26 Wu, Jiahong 25 Fox, Jacob 25 Seo, Ihyeok 24 Dinh, Van Duong 24 Visan, Monica 23 Carles, Rémi 23 Guo, Boling 23 Li, Song 23 Staffilani, Gigliola 22 Fan, Jianqing 22 Lai, Chun-Kit 22 Yan, Wei 21 Bez, Neal 21 Murphy, Jason 21 Shparlinski, Igor E. 21 Thiele, Christoph Martin 21 Vinh, Le Anh 20 Dodson, Benjamin G. 20 Guth, Lawrence David 20 Lacey, Michael T. 20 Linares, Felipe 20 Needell, Deanna 20 Peng, Jigen 20 Pham Van Thang 20 Visciglia, Nicola 20 Xiu, Naihua 19 Candès, Emmanuel J. 19 Demeter, Ciprian 19 Herr, Sebastian 19 Killip, Rowan 19 Krahmer, Felix 19 Osher, Stanley Joel 19 Sah, Ashwin 19 Xu, Guixiang 19 Zahl, Joshua 19 Ziegler, Tamar 18 Carvajal, Xavier Paredes 18 Kovač, Vjekoslav 18 Nguyen, Hoi H. 18 Sawhney, Mehtaab S. 18 Schippa, Robert 18 Shen, Chun-Yen 18 Vega, Luis 18 Wang, Yuzhao 18 Yin, Jun 18 Zhang, Xiaoyi 17 D’Ancona, Piero 17 Ding, Yong 17 Dutkay, Dorin Ervin 17 Frantzikinakis, Nikos 17 Germain, Pierre 17 Grafakos, Loukas 17 Hong, Younghun 17 Ionescu, Alexandru D. 17 Knowles, Antti 17 Krieger, Joachim 17 Kwak, Chulkwang 17 Li, Yongsheng 17 Litvak, Aleksandr Evgen’evich 17 O’Rourke, Sean D. 17 Ozawa, Tohru 17 Ponce, Gustavo 17 Rudnev, Misha 17 Serra, Oriol 17 Tikhomirov, Konstantin E. 17 Tsybakov, Alexandre B. 17 Wang, Baoxiang 17 Zhang, Bingyu 17 Zhao, Lifeng 17 Zhao, Yufei 16 Bennett, Jonathan M. 16 Bergelson, Vitaly 16 Colliander, James E. 16 Götze, Friedrich 16 Kutyniok, Gitta 16 Liu, Jingcheng 16 Lu, Guozhen 16 Merle, Frank ...and 10,827 more Authors all top 5 Cited in 761 Serials 240 Journal of Mathematical Analysis and Applications 228 Journal of Functional Analysis 197 Advances in Mathematics 186 Journal of Differential Equations 186 Transactions of the American Mathematical Society 173 Proceedings of the American Mathematical Society 172 Communications in Mathematical Physics 159 Applied and Computational Harmonic Analysis 147 The Annals of Statistics 125 Nonlinear Analysis. 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Nonlinear Differential Equations and Applications 35 Journal of Evolution Equations 33 Bernoulli 32 Discrete Mathematics 32 Combinatorica 32 SIAM Journal on Scientific Computing 31 Journal of the American Statistical Association 31 Journal of the London Mathematical Society. Second Series 31 Electronic Journal of Probability 30 Acta Arithmetica 30 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 29 Annales de l’Institut Fourier 28 Circuits, Systems, and Signal Processing 28 Journal of Algebraic Combinatorics 28 Finite Fields and their Applications 27 SIAM Journal on Discrete Mathematics 26 Monatshefte für Mathematik 25 Automatica 25 Memoirs of the American Mathematical Society 25 Journal of Mathematical Fluid Mechanics 24 Mathematical Methods in the Applied Sciences 24 Bulletin of the London Mathematical Society ...and 661 more Serials all top 5 Cited in 63 Fields 3,015 Partial differential equations (35-XX) 1,311 Harmonic analysis on Euclidean spaces (42-XX) 1,228 Number theory (11-XX) 1,060 Statistics (62-XX) 1,052 Probability theory and stochastic processes (60-XX) 1,005 Information and communication theory, circuits (94-XX) 946 Numerical analysis (65-XX) 859 Combinatorics (05-XX) 845 Linear and multilinear algebra; matrix theory (15-XX) 742 Operations research, mathematical programming (90-XX) 657 Dynamical systems and ergodic theory (37-XX) 654 Computer science (68-XX) 449 Operator theory (47-XX) 436 Fluid mechanics (76-XX) 432 Functional analysis (46-XX) 401 Quantum theory (81-XX) 343 Convex and discrete geometry (52-XX) 318 Group theory and generalizations (20-XX) 309 Measure and integration (28-XX) 281 Algebraic geometry (14-XX) 228 Global analysis, analysis on manifolds (58-XX) 226 Statistical mechanics, structure of matter (82-XX) 192 Topological groups, Lie groups (22-XX) 179 Real functions (26-XX) 176 Calculus of variations and optimal control; optimization (49-XX) 175 Biology and other natural sciences (92-XX) 165 Differential geometry (53-XX) 158 Abstract harmonic analysis (43-XX) 138 Systems theory; control (93-XX) 136 Approximations and expansions (41-XX) 125 Mathematical logic and foundations (03-XX) 97 Functions of a complex variable (30-XX) 95 Ordinary differential equations (34-XX) 90 Optics, electromagnetic theory (78-XX) 86 Geometry (51-XX) 74 Integral transforms, operational calculus (44-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Manifolds and cell complexes (57-XX) 49 General and overarching topics; collections (00-XX) 47 Special functions (33-XX) 45 Nonassociative rings and algebras (17-XX) 44 Commutative algebra (13-XX) 43 Relativity and gravitational theory (83-XX) 42 Several complex variables and analytic spaces (32-XX) 42 Integral equations (45-XX) 39 Associative rings and algebras (16-XX) 39 Potential theory (31-XX) 37 Mechanics of deformable solids (74-XX) 35 History and biography (01-XX) 35 Geophysics (86-XX) 33 General topology (54-XX) 32 Mechanics of particles and systems (70-XX) 31 Difference and functional equations (39-XX) 25 Algebraic topology (55-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 23 Field theory and polynomials (12-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Sequences, series, summability (40-XX) 8 Category theory; homological algebra (18-XX) 7 Mathematics education (97-XX) 6 \(K\)-theory (19-XX) 6 Astronomy and astrophysics (85-XX) 2 General algebraic systems (08-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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