Edit Profile (opens in new tab) Tao, Terence Compute Distance To: Compute Author ID: tao.terence-c Published as: Tao, Terence; Tao, Terence C.; Tao, Terry; Tao, Terence Chi-Shen; Tao, Terence C. S.; Tao, Terrence 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: 343 Publications since 1992, including 26 Books 5 Contributions as Editor · 2 Further Contributions Reviewing Activity: 111 Reviews Biographic References: 10 Publications Co-Authors: 134 Co-Authors with 220 Joint Publications 3,833 Co-Co-Authors all top 5 Co-Authors 129 single-authored 34 Vu, Van H. 32 Green, Ben Joseph 18 Keel, Markus 18 Thiele, Christoph Martin 16 Colliander, James E. 15 Staffilani, Gigliola 14 Takaoka, Hideo 14 Ziegler, Tamar 13 Muscalu, Camil 8 Breuillard, Emmanuel 8 Katz, Nets Hawk 6 Candès, Emmanuel J. 6 Wright, James Robert 5 Christ, Michael 5 Hassell, Andrew 5 Knutson, Allen 5 Matomäki, Kaisa Sofia 5 Radziwiłł, Maksym 5 Seeger, Andreas 5 Visan, Monica 4 Bergelson, Vitaly 4 de Gier, Jan 4 Ford, Kevin B. 4 Maynard, James 4 Praeger, Cheryl Elisabeth 4 Rodnianski, Igor 4 Teräväinen, Joni 4 Wood, David Ronald 3 Bennett, Jonathan M. 3 Carbery, Anthony 3 Demeter, Ciprian 3 Konyagin, Sergeĭ Vladimirovich 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 Nagel, Alexander 2 Naor, Assaf 2 Oberlin, Richard 2 Phong, Duong Hong 2 Pierce, Lillian B. 2 Pipher, Jill Catherine 2 Ricci, Fulvio 2 Romberg, Justin K. 2 Sogge, Christopher D. 2 Sutherland, Andrew V. 2 Wainger, Stephen 2 Woodward, Christopher T. 2 Wunsch, Jared 1 Auscher, Pascal 1 Beckner, William 1 Bejenaru, Ioan 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 S. 1 Elsholtz, Christian 1 Erdős, László 1 Esser, Louis 1 Filoche, Marcel 1 Fouvry, Etienne 1 Frantzikinakis, Nikos 1 Fröhlich, Jürg Martin 1 Gibson, Andrew 1 Gomba, Irene 1 Graham, C. Robin 1 Greenfeld, Rachel 1 Greengard, Leslie F. 1 Guth, Lawrence David 1 Hall, Peter Gavin 1 Helfgott, Harald Andrés 1 Hofmann, Steve 1 Holden, Helge 1 Ionescu, Alex 1 Ionescu, Alexandru D. 1 Jitomirskaya, Svetlana Yakovlevna 1 Kane, Daniel M. ...and 68 more Co-Authors all top 5 Serials 13 Geometric and Functional Analysis. GAFA 10 Journal of the American Mathematical Society 10 Mathematical Research Letters 10 Annals of Mathematics. Second Series 9 American Journal of Mathematics 9 Bulletin of the American Mathematical Society. New Series 8 Journal d’Analyse Mathématique 8 Duke Mathematical Journal 8 Texts and Readings in Mathematics 8 Analysis & PDE 6 Journal of Functional Analysis 6 Notices of the American Mathematical Society 6 Dynamics of Partial Differential Equations 6 Contributions to Discrete Mathematics 6 Graduate Studies in Mathematics 6 Forum of Mathematics, Sigma 5 Acta Mathematica 5 Mathematische Annalen 5 Revista Matemática Iberoamericana 5 Communications in Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 4 Communications in Mathematical Physics 4 IEEE Transactions on Information Theory 4 Mathematics of Computation 4 Probability Theory and Related Fields 4 Journal of the European Mathematical Society (JEMS) 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 Mathematika 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 Forum of Mathematics, Pi 2 Journal of Mathematical Physics 2 Collectanea Mathematica 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 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 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 The Quarterly Journal of Mathematics 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 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 The Annals of Statistics 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 Ergodic Theory and Dynamical Systems 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 1 EMS Surveys in Mathematical Sciences 1 Die Weltweit Besten Mathematischen Artikel im 21. Jahrhundert ...and 5 more Serials all top 5 Fields 105 Number theory (11-XX) 87 Partial differential equations (35-XX) 73 Harmonic analysis on Euclidean spaces (42-XX) 49 Dynamical systems and ergodic theory (37-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 41 Combinatorics (05-XX) 33 Probability theory and stochastic processes (60-XX) 21 Group theory and generalizations (20-XX) 20 General and overarching topics; collections (00-XX) 17 Measure and integration (28-XX) 16 Functional analysis (46-XX) 14 Real functions (26-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Operator theory (47-XX) 11 History and biography (01-XX) 10 Convex and discrete geometry (52-XX) 9 Information and communication theory, circuits (94-XX) 8 Fluid mechanics (76-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 7 Statistics (62-XX) 7 Quantum theory (81-XX) 6 Integral transforms, operational calculus (44-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) 3 Functions of a complex variable (30-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 310 Publications have been cited 13,799 times in 8,450 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 871 2006 Endpoint Strichartz estimates. Zbl 0922.35028Keel, Markus; Tao, Terence 706 1998 Decoding by linear programming. Zbl 1264.94121Candès, Emmanuel J.; Tao, Terence 595 2005 The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder). Zbl 1139.62019Candès, Emmanuel; Tao, Terence 594 2007 Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence 565 2006 Nonlinear dispersive equations. Local and global analysis. Zbl 1106.35001Tao, Terence 484 2006 Near-optimal signal recovery from random projections: universal encoding strategies? Zbl 1309.94033Candès, Emmanuel J.; Tao, Terence 447 2006 Additive combinatorics. Zbl 1127.11002Tao, Terence; Vu, Van H. 308 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. 261 2003 The power of convex relaxation: near-optimal matrix completion. Zbl 1366.15021Candès, Emmanuel J.; Tao, Terence 244 2010 The primes contain arbitrarily long arithmetic progressions. Zbl 1191.11025Green, Ben; Tao, Terence 199 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 193 2008 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101Christ, Michael; Colliander, James; Tao, Terrence 176 2003 Random matrices: universality of local eigenvalue statistics. Zbl 1217.15043Tao, Terence; Vu, Van 175 2011 A sum-product estimate in finite fields, and applications. Zbl 1145.11306Bourgain, Jean; Katz, N.; Tao, Terence C. 173 2004 Topics in random matrix theory. Zbl 1256.15020Tao, Terence 170 2012 Multilinear weighted convolution of \(L^2\) functions, and applications to nonlinear dispersive equations. Zbl 0998.42005Tao, Terence 161 2001 The honeycomb model of \(\text{GL}_n(\mathbb C)\) tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097Knutson, Allen; Tao, Terence 157 1999 Fuglede’s conjecture is false in 5 and higher dimensions. Zbl 1092.42014Tao, Terence 142 2004 A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011Tao, Terence C. 121 2003 Random matrices: universality of ESDs and the circular law. Zbl 1203.15025Tao, Terence; Vu, Van; Krishnapur, Manjunath 118 2010 Linear equations in primes. Zbl 1242.11071Green, Benjamin; Tao, Terence 112 2010 On the multilinear restriction and Kakeya conjectures. Zbl 1203.42019Bennett, Jonathan; Carbery, Anthony; Tao, Terence 101 2006 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 99 2004 Random matrices: Universality of local eigenvalue statistics up to the edge. Zbl 1202.15038Tao, Terence; Vu, Van 99 2010 The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245Tao, Terence; Visan, Monica; Zhang, Xiaoyi 98 2007 The Möbius function is strongly orthogonal to nilsequences. Zbl 1347.37019Green, Ben; Tao, Terence 97 2012 A bilinear approach to the restriction and Kakeya conjectures. Zbl 0924.42008Tao, Terence; Vargas, Ana; Vega, Luis 96 1998 Global well-posedness of the Benjamin-Ono equation in \(H^ 1(R)\). Zbl 1055.35104Tao, Terence 95 2004 Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem. Zbl 1266.46017Naor, Assaf; Tao, Terence 94 2012 Inverse Littlewood-Offord theorems and the condition number of random discrete matrices. Zbl 1250.60023Tao, Terence; Vu, Van H. 93 2009 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 91 2010 Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation. Zbl 1090.35162Bejenaru, Ioan; Tao, Terence 79 2006 The cubic nonlinear Schrödinger equation in two dimensions with radial data. Zbl 1187.35237Killip, Rowan; Tao, Terence; Visan, Monica 77 2009 An inverse theorem for the Gowers \(U^{s+1}[N]\)-norm. Zbl 1282.11007Green, Ben; Tao, Terence; Ziegler, Tamar 77 2012 Random matrices: the circular law. Zbl 1156.15010Tao, Terence; Van, Vu 76 2008 Global regularity of wave maps. II: Small energy in two dimensions. Zbl 1020.35046Tao, Terence 76 2001 Product set estimates for non-commutative groups. Zbl 1254.11017Tao, Terence 74 2008 Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063Knutson, Allen; Tao, Terence 74 2003 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. 74 2002 Global well-posedness for Schrödinger equations with derivative. Zbl 1002.35113Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 72 2001 Multilinear estimates for periodic KdV equations, and applications. Zbl 1062.35109Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 72 2004 The quantitative behaviour of polynomial orbits on nilmanifolds. Zbl 1251.37012Green, Ben; Tao, Terence 72 2012 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 69 2008 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. 67 2002 Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004Tao, Terence 67 2008 Bi-parameter paraproducts. Zbl 1087.42016Muscalu, Camil; Pipher, Jill; Tao, Terence; Thiele, Christoph 66 2004 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. 65 2004 Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177Tao, Terence 64 2009 Multi-linear operators given by singular multipliers. Zbl 0994.42015Muscalu, Camil; Tao, Terence; Thiele, Christoph 62 2002 Approximate subgroups of linear groups. Zbl 1229.20045Breuillard, Emmanuel; Green, Ben; Tao, Terence 61 2011 Some recent progress on the restriction conjecture. Zbl 1083.42008Tao, Terence 60 2004 A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013Tao, Terence C.; Vargas, Ana M. 60 2000 A variant of the hypergraph removal lemma. Zbl 1105.05052Tao, Terence 58 2006 An uncertainty principle for cyclic groups of prime order. Zbl 1080.42002Tao, Terence 58 2005 On the singularity probability of random Bernoulli matrices. Zbl 1116.15021Tao, Terence; Vu, Van 56 2007 An introduction to measure theory. Zbl 1231.28001Tao, Terence 55 2011 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 54 2007 A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012Tao, Terence C.; Vargas, Ana M. 53 2000 From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices. Zbl 1168.15018Tao, Terence; Vu, Van 52 2009 An inverse theorem for the Gowers \(U^3(G)\) norm. Zbl 1202.11013Green, Ben; Tao, Terence 52 2008 Minimal-mass blowup solutions of the mass-critical NLS. Zbl 1154.35085Tao, Terence; Visan, Monica; Zhang, Xiaoyi 51 2008 The structure of approximate groups. Zbl 1260.20062Breuillard, Emmanuel; Green, Ben; Tao, Terence 51 2012 An incidence theorem in higher dimensions. Zbl 1253.51004Solymosi, József; Tao, Terence 49 2012 Global regularity of wave maps. I: Small critical Sobolev norm in high dimension. Zbl 0983.35080Tao, Terence 48 2001 Random matrices: The distribution of the smallest singular values. Zbl 1210.60014Tao, Terence; Vu, Van 48 2010 The Fuglede spectral conjecture holds for convex planar domains. Zbl 1087.42018Iosevich, Alex; Katz, Nets; Tao, Terence 47 2003 Finite time blowup for an averaged three-dimensional Navier-Stokes equation. Zbl 1342.35227Tao, Terence 47 2016 Random covariance matrices: universality of local statistics of eigenvalues. Zbl 1247.15036Tao, Terence; Vu, Van 47 2012 On random \(\pm 1\) matrices: Singularity and determinant. Zbl 1086.60008Tao, Terence; Vu, Van 46 2006 Restriction and Kakeya phenomena for finite fields. Zbl 1072.42007Mockenhaupt, Gerd; Tao, Terence 45 2004 Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation. Zbl 0966.35027Tao, Terence 44 2000 The Bochner-Riesz conjecture implies the restriction conjecture. Zbl 0980.42006Tao, Terence 44 1999 \(L^p\) improving bounds for averages along curves. Zbl 1080.42007Tao, Terence; Wright, James 43 2003 A variation norm Carleson theorem. Zbl 1246.42016Oberlin, Richard; Seeger, Andreas; Tao, Terence; Thiele, Christoph; Wright, James 43 2012 Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data. Zbl 1119.35092Tao, Terence 42 2005 Random matrices: universality of local spectral statistics of non-Hermitian matrices. Zbl 1316.15042Tao, Terence; Vu, Van 42 2015 Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer 41 2010 Some connections between Falconer’s distance set conjecture and sets of Furstenburg type. Zbl 0991.28006Katz, Nets Hawk; Tao, Terence 40 2001 Carleson measures, trees, extrapolation, and \(T(b)\) theorems. Zbl 1027.42009Auscher, P.; Hofmann, S.; Muscalu, Camil; Tao, Terence C.; Thiele, Christoph 40 2002 An averaged form of Chowla’s conjecture. Zbl 1377.11109Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 40 2015 Stability of energy-critical nonlinear Schrödinger equations in high dimensions. Zbl 1245.35122Tao, Terence; Visan, Monica 40 2005 Random symmetric matrices are almost surely nonsingular. Zbl 1110.15020Costello, Kevin P.; Tao, Terence; Vu, Van 39 2006 Multi-parameter paraproducts. Zbl 1114.42005Muscalu, Camil; Pipher, Jill; Tao, Terence; Thiele, Christoph 39 2006 Random matrices: universal properties of eigenvectors. Zbl 1248.15031Tao, Terence; Vu, Van 39 2012 Structure and randomness. Pages from year one of a mathematical blog. Zbl 1245.00024Tao, Terence 38 2008 An arithmetic regularity lemma, an associated counting lemma, and applications. Zbl 1222.11015Green, Ben; Tao, Terence 38 2010 Why are solitons stable? Zbl 1155.35082Tao, Terence 37 2009 Convex bodies with a point of curvature do not have Fourier bases. Zbl 0998.42001Iosevich, Alex; Katz, Nets Hawk; Tao, Terry 37 2001 A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043Tao, Terence; Tian, Gang 37 2004 Effective limiting absorption principles, and applications. Zbl 1310.35204Rodnianski, Igor; Tao, Terence 37 2015 Scattering for the quartic generalised Korteweg-de Vries equation. Zbl 1171.35107Tao, Terence 36 2007 Honeycombs and sums of Hermitian matrices. Zbl 1047.15006Knutson, Allen; Tao, Terence 35 2001 Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates. Zbl 0992.42004Tao, Terence 35 2001 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 34 2008 Operator splitting for the KdV equation. Zbl 1219.35235Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 34 2011 Global well-posedness for KdV in Sobolev spaces of negative index. Zbl 0967.35119Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. 33 2001 Smooth analysis of the condition number and the least singular value. Zbl 1253.65067Tao, Terence; Vu, Van 33 2010 Hilbert’s fifth problem and related topics. Zbl 1298.22001Tao, Terence 33 2014 On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation. Zbl 1082.35144Tao, Terence 32 2004 Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. Zbl 1481.15008Denton, Peter B.; Parke, Stephen J.; Tao, Terence; Zhang, Xining 5 2022 Exploring the toolkit of Jean Bourgain. Zbl 1466.28001Tao, Terence 2 2021 On the sign patterns of entrywise positivity preservers in fixed dimension. Zbl 07466619Khare, Apoorva; Tao, Terence 2 2021 Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle. Zbl 1481.28008Cladek, Laura; Tao, Terence 1 2021 The structure of translational tilings in \(\mathbb{Z}^d\). Zbl 1482.05036Greenfeld, Rachel; Tao, Terence 1 2021 The de Bruijn-Newman constant is non-negative. Zbl 1454.11158Rodgers, Brad; Tao, Terence 9 2020 Fourier uniformity of bounded multiplicative functions in short intervals on average. Zbl 1459.11186Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 3 2020 Sharp bounds for multilinear curved Kakeya, restriction and oscillatory integral estimates away from the endpoint. Zbl 1442.42042Tao, Terence 2 2020 On the universality of the incompressible Euler equation on compact manifolds. II. Non-rigidity of Euler flows. Zbl 1470.35273Tao, Terence 2 2020 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 1 2020 The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures. Zbl 1436.11115Tao, Terence; Teräväinen, Joni 14 2019 Correlations of the von Mangoldt and higher divisor functions. I. Long shift ranges. Zbl 1426.11107Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 5 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 4 2019 Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges. Zbl 1416.11138Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 2 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 16 2018 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255Tao, Terence; Teräväinen, Joni 9 2018 Some remarks on the lonely runner conjecture. Zbl 1451.11088Tao, Terence 5 2018 Polynomial patterns in the primes. Zbl 1459.11030Tao, Terence; Ziegler, Tamar 4 2018 Schur polynomials, entrywise positivity preservers, and weak majorization. Zbl 1411.05263Khare, Apoorva; Tao, Terence 3 2018 An inverse theorem for an inequality of Kneser. Zbl 1426.43001Tao, Terence 3 2018 On the universality of the incompressible Euler equation on compact manifolds. Zbl 1397.35193Tao, Terence 2 2018 Finite time blowup for a supercritical defocusing nonlinear Schrödinger system. Zbl 1375.35435Tao, Terence 2 2018 Random matrices have simple spectrum. Zbl 1399.60008Tao, Terence; Vu, V. 21 2017 Equivalence of the logarithmically averaged Chowla and Sarnak conjectures. Zbl 1426.11111Tao, Terence 18 2017 Random matrices: tail bounds for gaps between eigenvalues. Zbl 1391.15111Nguyen, Hoi; Tao, Terence; Vu, Van 14 2017 An integration approach to the Toeplitz square peg problem. Zbl 1422.52001Tao, Terence 9 2017 New bounds for Szemerédi’s theorem. III: A polylogarithmic bound for \(r_{4}(n)\). Zbl 1434.11037Green, Ben; Tao, Terence 9 2017 Sum-free sets in groups: a survey. Zbl 1431.11026Tao, Terence; Vu, Van 7 2017 Inverse theorems for sets and measures of polynomial growth. Zbl 1400.11133Tao, Terence 4 2017 On the universality of potential well dynamics. Zbl 1383.37016Tao, Terence 3 2017 A bound on partitioning clusters. Zbl 1432.05114Kane, Daniel; Tao, Terence 1 2017 Finite time blowup for an averaged three-dimensional Navier-Stokes equation. Zbl 1342.35227Tao, Terence 47 2016 The logarithmically averaged Chowla and Elliott conjectures for two-point correlations. Zbl 1383.11116Tao, Terence 29 2016 Sign patterns of the Liouville and Möbius functions. Zbl 1394.11066Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 17 2016 Large gaps between consecutive prime numbers. Zbl 1338.11083Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence 15 2016 The Erdös discrepancy problem. Zbl 1353.11087Tao, Terence 12 2016 Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181Tao, Terence 11 2016 Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors. Zbl 1400.11028Tao, Terence; Ziegler, Tamar 7 2016 Finite-time blowup for a supercritical defocusing nonlinear wave system. Zbl 1365.35111Tao, Terence 6 2016 Cancellation for the multilinear Hilbert transform. Zbl 1369.42014Tao, 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 Random matrices: universality of local spectral statistics of non-Hermitian matrices. Zbl 1316.15042Tao, Terence; Vu, Van 42 2015 An averaged form of Chowla’s conjecture. Zbl 1377.11109Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence 40 2015 Effective limiting absorption principles, and applications. Zbl 1310.35204Rodnianski, Igor; Tao, Terence 37 2015 Local universality of zeroes of random polynomials. Zbl 1360.60102Tao, Terence; Vu, Van 30 2015 Expansion in finite simple groups of Lie type. Zbl 1331.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 17 2015 Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets. Zbl 1370.11135Tao, Terence 12 2015 A multi-dimensional Szemerédi theorem for the primes via a correspondence principle. Zbl 1414.11019Tao, Terence; Ziegler, Tamar 7 2015 Failure of the \(L^1\) pointwise and maximal ergodic theorems for the free group. Zbl 1359.37010Tao, Terence 6 2015 Expansion in finite simple groups of Lie type. Zbl 1336.20015Tao, Terence 6 2015 Multiple recurrence and convergence results associated to \(\mathbb F_P^\omega\)-actions. Zbl 1361.37006Bergelson, Vitaly; Tao, Terence; Ziegler, Tamar 4 2015 Narrow progressions in the primes. Zbl 1391.11131Tao, Terence; Ziegler, Tamar 3 2015 The Elliott-Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture. Zbl 1319.11067Tao, Terence 3 2015 Hilbert’s fifth problem and related topics. Zbl 1298.22001Tao, Terence 33 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 25 2014 Random matrices: The universality phenomenon for Wigner ensembles. Zbl 1310.15077Tao, Terence; Vu, Van 24 2014 Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory. Zbl 1294.05044Tao, Terence 21 2014 Every odd number greater than 1 is the sum of at most five primes. Zbl 1318.11126Tao, Terence 10 2014 Multiple recurrence in quasirandom groups. Zbl 1336.37007Bergelson, Vitaly; Tao, Terence 9 2014 Random matrices: the four-moment theorem for Wigner ensembles. Zbl 1327.15075Tao, Terence; Vu, Van 6 2014 On the quantitative distribution of polynomial nilsequences – erratum. Zbl 1290.37004Green, Ben; Tao, Terence 5 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 2 2014 Analysis I. 3rd ed. Zbl 1300.26002Tao, Terence 2 2014 On sets defining few ordinary lines. Zbl 1309.51002Green, Ben; Tao, Terence 32 2013 Outliers in the spectrum of iid matrices with bounded rank perturbations. Zbl 1261.60009Tao, Terence 23 2013 Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018Elsholtz, Christian; Tao, Terence 14 2013 Random matrices: sharp concentration of eigenvalues. Zbl 1296.15022Tao, Terence; Vu, Van 14 2013 Localisation and compactness properties of the Navier-Stokes global regularity problem. Zbl 1287.35058Tao, Terence 11 2013 The asymptotic distribution of a single eigenvalue gap of a Wigner matrix. Zbl 1280.15023Tao, Terence 11 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 5 2013 Mixing for progressions in nonabelian groups. Zbl 1328.20065Tao, Terence 5 2013 Noncommutative sets of small doubling. Zbl 1371.11032Tao, Terence 3 2013 Compactness and contradiction. Zbl 1276.00007Tao, Terence 2 2013 Erratum to “The primes contain arbitrarily long polynomial progressions”. Zbl 1295.11013Tao, Terence; Ziegler, Tamar 2 2013 Topics in random matrix theory. Zbl 1256.15020Tao, Terence 170 2012 The Möbius function is strongly orthogonal to nilsequences. Zbl 1347.37019Green, Ben; Tao, Terence 97 2012 Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem. Zbl 1266.46017Naor, Assaf; Tao, Terence 94 2012 An inverse theorem for the Gowers \(U^{s+1}[N]\)-norm. Zbl 1282.11007Green, Ben; Tao, Terence; Ziegler, Tamar 77 2012 The quantitative behaviour of polynomial orbits on nilmanifolds. Zbl 1251.37012Green, Ben; Tao, Terence 72 2012 The structure of approximate groups. Zbl 1260.20062Breuillard, Emmanuel; Green, Ben; Tao, Terence 51 2012 An incidence theorem in higher dimensions. Zbl 1253.51004Solymosi, József; Tao, Terence 49 2012 Random covariance matrices: universality of local statistics of eigenvalues. Zbl 1247.15036Tao, Terence; Vu, Van 47 2012 A variation norm Carleson theorem. Zbl 1246.42016Oberlin, Richard; Seeger, Andreas; Tao, Terence; Thiele, Christoph; Wright, James 43 2012 Random matrices: universal properties of eigenvectors. Zbl 1248.15031Tao, Terence; Vu, Van 39 2012 A central limit theorem for the determinant of a Wigner matrix. Zbl 1248.60011Tao, Terence; Vu, Van 22 2012 Higher order Fourier analysis. Zbl 1277.11010Tao, Terence 20 2012 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 20 2012 The inverse conjecture for the Gowers norm over finite fields in low characteristic. Zbl 1306.11015Tao, Terence; Ziegler, Tamar 16 2012 Large values of the Gowers-Host-Kra seminorms. Zbl 1305.11009Eisner, Tanja; Tao, Terence 10 2012 Deterministic methods to find primes. Zbl 1267.11123Tao, Terence; Croot, Ernest III; Helfgott, Harald 9 2012 Asymptotic decay for a one-dimensional nonlinear wave equation. Zbl 1273.35049Lindblad, Hans; Tao, Terence 8 2012 The Littlewood-Offord problem in high dimensions and a conjecture of Frankl and Füredi. Zbl 1289.05453Tao, Terence; Vu, Van 7 2012 Random matrices: universality of local eigenvalue statistics. Zbl 1217.15043Tao, Terence; Vu, Van 175 2011 Approximate subgroups of linear groups. Zbl 1229.20045Breuillard, Emmanuel; Green, Ben; Tao, Terence 61 2011 ...and 210 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,148 Authors 135 Tao, Terence 51 Bourgain, Jean 43 Vu, Van H. 39 Lee, Sanghyuk 39 Shkredov, Il’ya Dmitrievich 36 Oh, Tadahiro 35 Miao, Changxing 34 Erdős, László 33 Zheng, Jiqiang 31 Koh, Doowon 30 Iosevich, Alex 29 Himonas, A. Alexandrou 29 Kenig, Carlos Eduardo 29 Tataru, Daniel 28 Rauhut, Holger 27 Guo, Zihua 27 Yau, Horng-Tzer 26 Green, Ben Joseph 26 Tzvetkov, Nikolay 26 Zhang, Junyong 23 Chen, Wengu 23 Dinh, Van Duong 22 Carles, Rémi 22 Seo, Ihyeok 21 Li, Song 21 Saanouni, Tarek 21 Shparlinski, Igor E. 21 Visan, Monica 20 Bez, Neal 20 Fan, Jianqing 20 Linares, Felipe 20 Pham Van Thang 20 Staffilani, Gigliola 20 Vinh, Le Anh 20 Xiu, Naihua 19 Candès, Emmanuel J. 19 Lai, Chun-Kit 19 Peng, Jigen 19 Thiele, Christoph Martin 19 Wu, Jiahong 19 Xu, Guixiang 18 Demeter, Ciprian 18 Guo, Boling 18 Herr, Sebastian 18 Krahmer, Felix 18 Lacey, Michael T. 18 Osher, Stanley Joel 18 Yan, Wei 18 Yin, Jun 17 Carvajal, Xavier Paredes 17 D’Ancona, Piero 17 Ding, Yong 17 Dodson, Benjamin G. 17 Dutkay, Dorin Ervin 17 Götze, Friedrich 17 Guth, Lawrence David 17 Killip, Rowan 17 Li, Yongsheng 17 Litvak, Aleksandr Evgen’evich 17 Murphy, Jason 17 Needell, Deanna 17 Ponce, Gustavo 17 Vega, Luis 17 Wang, Yuzhao 17 Zahl, Joshua 17 Zhang, Xiaoyi 17 Zhao, Lifeng 17 Ziegler, Tamar 16 Bennett, Jonathan M. 16 Colliander, James E. 16 Fox, Jacob 16 Grafakos, Loukas 16 Hong, Younghun 16 Knowles, Antti 16 Krieger, Joachim 16 Merle, Frank 16 Nguyen, Hoi H. 16 O’Rourke, Sean D. 16 Ozawa, Tohru 16 Rudnev, Misha 16 Sanders, Tom 16 Serra, Oriol 16 Shen, Chun-Yen 16 Tikhomirov, Konstantin E. 16 Tomczak-Jaegermann, Nicole 16 Tsybakov, Alexandre B. 16 Wang, Baoxiang 15 Fang, Daoyuan 15 Frantzikinakis, Nikos 15 Germain, Pierre 15 Ionescu, Alexandru D. 15 Kutyniok, Gitta 15 Martel, Yvan 15 Mixon, Dustin G. 15 Sogge, Christopher D. 15 Stovall, Betsy 15 Vershynin, Roman 15 Visciglia, Nicola 14 Bordenave, Charles 14 Gressman, Philip T. ...and 9,048 more Authors all top 5 Cited in 694 Serials 209 Journal of Mathematical Analysis and Applications 207 Journal of Functional Analysis 173 Advances in Mathematics 171 Transactions of the American Mathematical Society 162 Journal of Differential Equations 158 Proceedings of the American Mathematical Society 152 Communications in Mathematical Physics 150 Applied and Computational Harmonic Analysis 141 The Annals of Statistics 114 Communications in Partial Differential Equations 106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 101 The Journal of Fourier Analysis and Applications 89 Discrete and Continuous Dynamical Systems 87 Journal d’Analyse Mathématique 83 Journal of Mathematical Physics 74 Linear Algebra and its Applications 70 Journal of Number Theory 66 Duke Mathematical Journal 65 Probability Theory and Related Fields 61 Mathematische Annalen 61 Communications on Pure and Applied Analysis 60 Revista Matemática Iberoamericana 58 Electronic Journal of Statistics 57 Geometric and Functional Analysis. GAFA 57 SIAM Journal on Mathematical Analysis 56 Israel Journal of Mathematics 54 Journal of Combinatorial Theory. Series A 54 Mathematische Zeitschrift 53 Comptes Rendus. Mathématique. Académie des Sciences, Paris 53 SIAM Journal on Imaging Sciences 50 Journal of the European Mathematical Society (JEMS) 50 Science China. Mathematics 49 Annales de l’Institut Henri Poincaré. 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English Series 37 Journal of Hyperbolic Differential Equations 36 Mathematics of Computation 36 Journal of Computational and Applied Mathematics 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Communications in Contemporary Mathematics 34 Journal of Machine Learning Research (JMLR) 33 Journal of Scientific Computing 32 Calculus of Variations and Partial Differential Equations 32 Journal of Evolution Equations 31 Communications on Pure and Applied Mathematics 31 Nonlinearity 31 Journal of Theoretical Probability 31 SIAM Journal on Scientific Computing 30 Mathematical Proceedings of the Cambridge Philosophical Society 30 SIAM Journal on Optimization 30 Bernoulli 30 Annales Henri Poincaré 29 Journal of Computational Physics 29 Applied Mathematics and Computation 29 The Electronic Journal of Combinatorics 29 NoDEA. Nonlinear Differential Equations and Applications 29 Forum of Mathematics, Sigma 27 Annales de l’Institut Fourier 27 Combinatorica 27 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 26 Discrete Mathematics 26 Finite Fields and their Applications 24 Mathematical Methods in the Applied Sciences 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Monatshefte für Mathematik 24 Random Structures & Algorithms 24 Journal of Algebraic Combinatorics 24 Combinatorics, Probability and Computing 23 Automatica 23 Mathematika 23 Journal of Inequalities and Applications 23 Inverse Problems and Imaging 22 Circuits, Systems, and Signal Processing 22 Electronic Journal of Probability 21 Journal of Algebra 21 Journal of the American Statistical Association 21 Journal of Approximation Theory 21 SIAM Journal on Discrete Mathematics 21 Nonlinear Analysis. Real World Applications 21 Computational & Mathematical Methods in Medicine ...and 594 more Serials all top 5 Cited in 63 Fields 2,511 Partial differential equations (35-XX) 1,093 Harmonic analysis on Euclidean spaces (42-XX) 1,000 Number theory (11-XX) 886 Statistics (62-XX) 878 Probability theory and stochastic processes (60-XX) 872 Information and communication theory, circuits (94-XX) 809 Numerical analysis (65-XX) 712 Linear and multilinear algebra; matrix theory (15-XX) 698 Combinatorics (05-XX) 624 Operations research, mathematical programming (90-XX) 534 Computer science (68-XX) 518 Dynamical systems and ergodic theory (37-XX) 379 Operator theory (47-XX) 359 Functional analysis (46-XX) 326 Fluid mechanics (76-XX) 326 Quantum theory (81-XX) 281 Convex and discrete geometry (52-XX) 256 Group theory and generalizations (20-XX) 236 Measure and integration (28-XX) 234 Algebraic geometry (14-XX) 207 Global analysis, analysis on manifolds (58-XX) 187 Statistical mechanics, structure of matter (82-XX) 150 Topological groups, Lie groups (22-XX) 149 Biology and other natural sciences (92-XX) 145 Calculus of variations and optimal control; optimization (49-XX) 138 Differential geometry (53-XX) 129 Abstract harmonic analysis (43-XX) 124 Systems theory; control (93-XX) 118 Real functions (26-XX) 112 Approximations and expansions (41-XX) 89 Mathematical logic and foundations (03-XX) 78 Ordinary differential equations (34-XX) 73 Functions of a complex variable (30-XX) 73 Optics, electromagnetic theory (78-XX) 68 Geometry (51-XX) 60 Integral transforms, operational calculus (44-XX) 57 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Commutative algebra (13-XX) 37 Manifolds and cell complexes (57-XX) 36 Special functions (33-XX) 33 Relativity and gravitational theory (83-XX) 32 Nonassociative rings and algebras (17-XX) 32 Potential theory (31-XX) 32 Integral equations (45-XX) 31 General and overarching topics; collections (00-XX) 31 Associative rings and algebras (16-XX) 30 Mechanics of deformable solids (74-XX) 29 Geophysics (86-XX) 27 History and biography (01-XX) 27 Several complex variables and analytic spaces (32-XX) 27 Mechanics of particles and systems (70-XX) 26 General topology (54-XX) 22 Algebraic topology (55-XX) 21 Difference and functional equations (39-XX) 20 Field theory and polynomials (12-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Category theory; homological algebra (18-XX) 7 Sequences, series, summability (40-XX) 6 \(K\)-theory (19-XX) 5 Mathematics education (97-XX) 3 Astronomy and astrophysics (85-XX) 1 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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