## Tao, Terence

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1231.94017
Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
2006
Endpoint Strichartz estimates. Zbl 0922.35028
Keel, Markus; Tao, Terence
1998
Decoding by linear programming. Zbl 1264.94121
Candès, Emmanuel J.; Tao, Terence
2005
The Dantzig selector: statistical estimation when $$p$$ is much larger than $$n$$. (With discussions and rejoinder). Zbl 1139.62019
Candès, Emmanuel; Tao, Terence
2007
Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009
Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
2006
Nonlinear dispersive equations. Local and global analysis. Zbl 1106.35001
Tao, Terence
2006
Near-optimal signal recovery from random projections: universal encoding strategies? Zbl 1309.94033
Candès, Emmanuel J.; Tao, Terence
2006
Tao, Terence; Vu, Van H.
2006
Sharp global well-posedness for KdV and modified KdV on $$\mathbb R$$ and $$\mathbb T$$. Zbl 1025.35025
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2003
The power of convex relaxation: near-optimal matrix completion. Zbl 1366.15021
Candès, Emmanuel J.; Tao, Terence
2010
The primes contain arbitrarily long arithmetic progressions. Zbl 1191.11025
Green, Ben; Tao, Terence
2008
Global well-posedness and scattering for the energy-critical Schrödinger equation in $$\mathbb R^{3}$$. Zbl 1178.35345
Colliander, James; Keel, Markus; Staffilani, Gigiola; Takaoka, Hideo; Tao, Terence
2008
Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101
Christ, Michael; Colliander, James; Tao, Terrence
2003
Random matrices: universality of local eigenvalue statistics. Zbl 1217.15043
Tao, Terence; Vu, Van
2011
A sum-product estimate in finite fields, and applications. Zbl 1145.11306
Bourgain, Jean; Katz, N.; Tao, Terence C.
2004
Topics in random matrix theory. Zbl 1256.15020
Tao, Terence
2012
Multilinear weighted convolution of $$L^2$$ functions, and applications to nonlinear dispersive equations. Zbl 0998.42005
Tao, Terence
2001
The honeycomb model of $$\text{GL}_n(\mathbb C)$$ tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097
Knutson, Allen; Tao, Terence
1999
Fuglede’s conjecture is false in 5 and higher dimensions. Zbl 1092.42014
Tao, Terence
2004
A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011
Tao, Terence C.
2003
Random matrices: universality of ESDs and the circular law. Zbl 1203.15025
Tao, Terence; Vu, Van; Krishnapur, Manjunath
2010
Linear equations in primes. Zbl 1242.11071
Green, Benjamin; Tao, Terence
2010
On the multilinear restriction and Kakeya conjectures. Zbl 1203.42019
Bennett, Jonathan; Carbery, Anthony; Tao, Terence
2006
The honeycomb model of $$\text{GL}_n({\mathbb C})$$ tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone. Zbl 1043.05111
Knutson, Allen; Tao, Terence; Woodward, Christopher
2004
Random matrices: Universality of local eigenvalue statistics up to the edge. Zbl 1202.15038
Tao, Terence; Vu, Van
2010
The nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1187.35245
Tao, Terence; Visan, Monica; Zhang, Xiaoyi
2007
The Möbius function is strongly orthogonal to nilsequences. Zbl 1347.37019
Green, Ben; Tao, Terence
2012
A bilinear approach to the restriction and Kakeya conjectures. Zbl 0924.42008
Tao, Terence; Vargas, Ana; Vega, Luis
1998
Global well-posedness of the Benjamin-Ono equation in $$H^ 1(R)$$. Zbl 1055.35104
Tao, Terence
2004
Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem. Zbl 1266.46017
Naor, Assaf; Tao, Terence
2012
Inverse Littlewood-Offord theorems and the condition number of random discrete matrices. Zbl 1250.60023
Tao, Terence; Vu, Van H.
2009
Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation. Zbl 1197.35265
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence
2010
Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation. Zbl 1090.35162
Bejenaru, Ioan; Tao, Terence
2006
The cubic nonlinear Schrödinger equation in two dimensions with radial data. Zbl 1187.35237
Killip, Rowan; Tao, Terence; Visan, Monica
2009
An inverse theorem for the Gowers $$U^{s+1}[N]$$-norm. Zbl 1282.11007
Green, Ben; Tao, Terence; Ziegler, Tamar
2012
Random matrices: the circular law. Zbl 1156.15010
Tao, Terence; Van, Vu
2008
Global regularity of wave maps. II: Small energy in two dimensions. Zbl 1020.35046
Tao, Terence
2001
Product set estimates for non-commutative groups. Zbl 1254.11017
Tao, Terence
2008
Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063
Knutson, Allen; Tao, Terence
2003
A refined global well-posedness result for Schrödinger equations with derivative. Zbl 1034.35120
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2002
Global well-posedness for Schrödinger equations with derivative. Zbl 1002.35113
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2001
Multilinear estimates for periodic KdV equations, and applications. Zbl 1062.35109
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2004
The quantitative behaviour of polynomial orbits on nilmanifolds. Zbl 1251.37012
Green, Ben; Tao, Terence
2012
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2008
Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation. Zbl 1152.35491
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2002
Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004
Tao, Terence
2008
Bi-parameter paraproducts. Zbl 1087.42016
Muscalu, Camil; Pipher, Jill; Tao, Terence; Thiele, Christoph
2004
Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on $$\mathbb R^3$$. Zbl 1060.35131
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2004
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation. Zbl 1190.35177
Tao, Terence
2009
Multi-linear operators given by singular multipliers. Zbl 0994.42015
Muscalu, Camil; Tao, Terence; Thiele, Christoph
2002
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2011
Some recent progress on the restriction conjecture. Zbl 1083.42008
Tao, Terence
2004
A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013
Tao, Terence C.; Vargas, Ana M.
2000
A variant of the hypergraph removal lemma. Zbl 1105.05052
Tao, Terence
2006
An uncertainty principle for cyclic groups of prime order. Zbl 1080.42002
Tao, Terence
2005
On the singularity probability of random Bernoulli matrices. Zbl 1116.15021
Tao, Terence; Vu, Van
2007
An introduction to measure theory. Zbl 1231.28001
Tao, Terence
2011
Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. Zbl 1187.35246
Tao, Terence; Visan, Monica; Zhang, Xiaoyi
2007
A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012
Tao, Terence C.; Vargas, Ana M.
2000
From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices. Zbl 1168.15018
Tao, Terence; Vu, Van
2009
An inverse theorem for the Gowers $$U^3(G)$$ norm. Zbl 1202.11013
Green, Ben; Tao, Terence
2008
Minimal-mass blowup solutions of the mass-critical NLS. Zbl 1154.35085
Tao, Terence; Visan, Monica; Zhang, Xiaoyi
2008
The structure of approximate groups. Zbl 1260.20062
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2012
An incidence theorem in higher dimensions. Zbl 1253.51004
Solymosi, József; Tao, Terence
2012
Global regularity of wave maps. I: Small critical Sobolev norm in high dimension. Zbl 0983.35080
Tao, Terence
2001
Random matrices: The distribution of the smallest singular values. Zbl 1210.60014
Tao, Terence; Vu, Van
2010
The Fuglede spectral conjecture holds for convex planar domains. Zbl 1087.42018
Iosevich, Alex; Katz, Nets; Tao, Terence
2003
Finite time blowup for an averaged three-dimensional Navier-Stokes equation. Zbl 1342.35227
Tao, Terence
2016
Random covariance matrices: universality of local statistics of eigenvalues. Zbl 1247.15036
Tao, Terence; Vu, Van
2012
On random $$\pm 1$$ matrices: Singularity and determinant. Zbl 1086.60008
Tao, Terence; Vu, Van
2006
Restriction and Kakeya phenomena for finite fields. Zbl 1072.42007
Mockenhaupt, Gerd; Tao, Terence
2004
Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation. Zbl 0966.35027
Tao, Terence
2000
The Bochner-Riesz conjecture implies the restriction conjecture. Zbl 0980.42006
Tao, Terence
1999
$$L^p$$ improving bounds for averages along curves. Zbl 1080.42007
Tao, Terence; Wright, James
2003
A variation norm Carleson theorem. Zbl 1246.42016
Oberlin, Richard; Seeger, Andreas; Tao, Terence; Thiele, Christoph; Wright, James
2012
Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data. Zbl 1119.35092
Tao, Terence
2005
Random matrices: universality of local spectral statistics of non-Hermitian matrices. Zbl 1316.15042
Tao, Terence; Vu, Van
2015
Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027
Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer
2010
Some connections between Falconer’s distance set conjecture and sets of Furstenburg type. Zbl 0991.28006
Katz, Nets Hawk; Tao, Terence
2001
Carleson measures, trees, extrapolation, and $$T(b)$$ theorems. Zbl 1027.42009
Auscher, P.; Hofmann, S.; Muscalu, Camil; Tao, Terence C.; Thiele, Christoph
2002
An averaged form of Chowla’s conjecture. Zbl 1377.11109
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2015
Stability of energy-critical nonlinear Schrödinger equations in high dimensions. Zbl 1245.35122
Tao, Terence; Visan, Monica
2005
Random symmetric matrices are almost surely nonsingular. Zbl 1110.15020
Costello, Kevin P.; Tao, Terence; Vu, Van
2006
Multi-parameter paraproducts. Zbl 1114.42005
Muscalu, Camil; Pipher, Jill; Tao, Terence; Thiele, Christoph
2006
Random matrices: universal properties of eigenvectors. Zbl 1248.15031
Tao, Terence; Vu, Van
2012
Structure and randomness. Pages from year one of a mathematical blog. Zbl 1245.00024
Tao, Terence
2008
An arithmetic regularity lemma, an associated counting lemma, and applications. Zbl 1222.11015
Green, Ben; Tao, Terence
2010
Why are solitons stable? Zbl 1155.35082
Tao, Terence
2009
Convex bodies with a point of curvature do not have Fourier bases. Zbl 0998.42001
Iosevich, Alex; Katz, Nets Hawk; Tao, Terry
2001
A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043
Tao, Terence; Tian, Gang
2004
Effective limiting absorption principles, and applications. Zbl 1310.35204
Rodnianski, Igor; Tao, Terence
2015
Scattering for the quartic generalised Korteweg-de Vries equation. Zbl 1171.35107
Tao, Terence
2007
Honeycombs and sums of Hermitian matrices. Zbl 1047.15006
Knutson, Allen; Tao, Terence
2001
Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates. Zbl 0992.42004
Tao, Terence
2001
A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order. Zbl 1136.35087
Christ, Michael; Colliander, James; Tao, Terence
2008
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
2011
Global well-posedness for KdV in Sobolev spaces of negative index. Zbl 0967.35119
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
2001
Smooth analysis of the condition number and the least singular value. Zbl 1253.65067
Tao, Terence; Vu, Van
2010
Hilbert’s fifth problem and related topics. Zbl 1298.22001
Tao, Terence
2014
On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation. Zbl 1082.35144
Tao, Terence
2004
Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. Zbl 1481.15008
Denton, Peter B.; Parke, Stephen J.; Tao, Terence; Zhang, Xining
2022
Exploring the toolkit of Jean Bourgain. Zbl 1466.28001
Tao, Terence
2021
On the sign patterns of entrywise positivity preservers in fixed dimension. Zbl 07466619
Khare, Apoorva; Tao, Terence
2021
Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle. Zbl 1481.28008
2021
The structure of translational tilings in $$\mathbb{Z}^d$$. Zbl 1482.05036
Greenfeld, Rachel; Tao, Terence
2021
The de Bruijn-Newman constant is non-negative. Zbl 1454.11158
2020
Fourier uniformity of bounded multiplicative functions in short intervals on average. Zbl 1459.11186
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2020
Sharp bounds for multilinear curved Kakeya, restriction and oscillatory integral estimates away from the endpoint. Zbl 1442.42042
Tao, Terence
2020
On the universality of the incompressible Euler equation on compact manifolds. II. Non-rigidity of Euler flows. Zbl 1470.35273
Tao, Terence
2020
Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001
Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen
2020
The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures. Zbl 1436.11115
Tao, Terence; Teräväinen, Joni
2019
Correlations of the von Mangoldt and higher divisor functions. I. Long shift ranges. Zbl 1426.11107
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2019
The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures. Zbl 1476.11127
Tao, Terence; Teräväinen, Joni
2019
Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges. Zbl 1416.11138
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2019
Value patterns of multiplicative functions and related sequences. Zbl 1433.11112
Tao, Terence; Teräväinen, Joni
2019
Least singular value, circular law, and Lindeberg exchange. Zbl 1451.15002
Tao, Terence
2019
Commutators close to the identity. Zbl 1449.47037
Tao, Terence
2019
Long gaps between primes. Zbl 1392.11071
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence
2018
Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255
Tao, Terence; Teräväinen, Joni
2018
Some remarks on the lonely runner conjecture. Zbl 1451.11088
Tao, Terence
2018
Polynomial patterns in the primes. Zbl 1459.11030
Tao, Terence; Ziegler, Tamar
2018
Schur polynomials, entrywise positivity preservers, and weak majorization. Zbl 1411.05263
Khare, Apoorva; Tao, Terence
2018
An inverse theorem for an inequality of Kneser. Zbl 1426.43001
Tao, Terence
2018
On the universality of the incompressible Euler equation on compact manifolds. Zbl 1397.35193
Tao, Terence
2018
Finite time blowup for a supercritical defocusing nonlinear Schrödinger system. Zbl 1375.35435
Tao, Terence
2018
Random matrices have simple spectrum. Zbl 1399.60008
Tao, Terence; Vu, V.
2017
Equivalence of the logarithmically averaged Chowla and Sarnak conjectures. Zbl 1426.11111
Tao, Terence
2017
Random matrices: tail bounds for gaps between eigenvalues. Zbl 1391.15111
Nguyen, Hoi; Tao, Terence; Vu, Van
2017
An integration approach to the Toeplitz square peg problem. Zbl 1422.52001
Tao, Terence
2017
New bounds for Szemerédi’s theorem. III: A polylogarithmic bound for $$r_{4}(n)$$. Zbl 1434.11037
Green, Ben; Tao, Terence
2017
Sum-free sets in groups: a survey. Zbl 1431.11026
Tao, Terence; Vu, Van
2017
Inverse theorems for sets and measures of polynomial growth. Zbl 1400.11133
Tao, Terence
2017
On the universality of potential well dynamics. Zbl 1383.37016
Tao, Terence
2017
A bound on partitioning clusters. Zbl 1432.05114
Kane, Daniel; Tao, Terence
2017
Finite time blowup for an averaged three-dimensional Navier-Stokes equation. Zbl 1342.35227
Tao, Terence
2016
The logarithmically averaged Chowla and Elliott conjectures for two-point correlations. Zbl 1383.11116
Tao, Terence
2016
Sign patterns of the Liouville and Möbius functions. Zbl 1394.11066
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2016
Large gaps between consecutive prime numbers. Zbl 1338.11083
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence
2016
The Erdös discrepancy problem. Zbl 1353.11087
Tao, Terence
2016
Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181
Tao, Terence
2016
Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors. Zbl 1400.11028
Tao, Terence; Ziegler, Tamar
2016
Finite-time blowup for a supercritical defocusing nonlinear wave system. Zbl 1365.35111
Tao, Terence
2016
Cancellation for the multilinear Hilbert transform. Zbl 1369.42014
Tao, Terence
2016
Sum-avoiding sets in groups. Zbl 1400.11027
Tao, Terence; Vu, Van
2016
Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity. Zbl 1353.35254
Tao, Terence
2016
Random matrices: universality of local spectral statistics of non-Hermitian matrices. Zbl 1316.15042
Tao, Terence; Vu, Van
2015
An averaged form of Chowla’s conjecture. Zbl 1377.11109
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2015
Effective limiting absorption principles, and applications. Zbl 1310.35204
Rodnianski, Igor; Tao, Terence
2015
Local universality of zeroes of random polynomials. Zbl 1360.60102
Tao, Terence; Vu, Van
2015
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
2015
Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets. Zbl 1370.11135
Tao, Terence
2015
A multi-dimensional Szemerédi theorem for the primes via a correspondence principle. Zbl 1414.11019
Tao, Terence; Ziegler, Tamar
2015
Failure of the $$L^1$$ pointwise and maximal ergodic theorems for the free group. Zbl 1359.37010
Tao, Terence
2015
Expansion in finite simple groups of Lie type. Zbl 1336.20015
Tao, Terence
2015
Multiple recurrence and convergence results associated to $$\mathbb F_P^\omega$$-actions. Zbl 1361.37006
Bergelson, Vitaly; Tao, Terence; Ziegler, Tamar
2015
Narrow progressions in the primes. Zbl 1391.11131
Tao, Terence; Ziegler, Tamar
2015
The Elliott-Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture. Zbl 1319.11067
Tao, Terence
2015
Hilbert’s fifth problem and related topics. Zbl 1298.22001
Tao, Terence
2014
New equidistribution estimates of Zhang type. Zbl 1307.11097
Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng
2014
Random matrices: The universality phenomenon for Wigner ensembles. Zbl 1310.15077
Tao, Terence; Vu, Van
2014
Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory. Zbl 1294.05044
Tao, Terence
2014
Every odd number greater than 1 is the sum of at most five primes. Zbl 1318.11126
Tao, Terence
2014
Multiple recurrence in quasirandom groups. Zbl 1336.37007
Bergelson, Vitaly; Tao, Terence
2014
Random matrices: the four-moment theorem for Wigner ensembles. Zbl 1327.15075
Tao, Terence; Vu, Van
2014
On the quantitative distribution of polynomial nilsequences – erratum. Zbl 1290.37004
Green, Ben; Tao, Terence
2014
Multi-linear multipliers associated to simplexes of arbitrary length. Zbl 1354.42006
Muscalu, Camil; Tao, Terence; Thiele, Christoph
2014
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
2014
Analysis I. 3rd ed. Zbl 1300.26002
Tao, Terence
2014
On sets defining few ordinary lines. Zbl 1309.51002
Green, Ben; Tao, Terence
2013
Outliers in the spectrum of iid matrices with bounded rank perturbations. Zbl 1261.60009
Tao, Terence
2013
Counting the number of solutions to the Erdős-Straus equation on unit fractions. Zbl 1304.11018
Elsholtz, Christian; Tao, Terence
2013
Random matrices: sharp concentration of eigenvalues. Zbl 1296.15022
Tao, Terence; Vu, Van
2013
Localisation and compactness properties of the Navier-Stokes global regularity problem. Zbl 1287.35058
Tao, Terence
2013
The asymptotic distribution of a single eigenvalue gap of a Wigner matrix. Zbl 1280.15023
Tao, Terence
2013
Small doubling in groups. Zbl 1333.11028
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2013
A nilpotent Freiman dimension lemma. Zbl 1294.22004
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2013
Mixing for progressions in nonabelian groups. Zbl 1328.20065
Tao, Terence
2013
Noncommutative sets of small doubling. Zbl 1371.11032
Tao, Terence
2013
Tao, Terence
2013
Erratum to “The primes contain arbitrarily long polynomial progressions”. Zbl 1295.11013
Tao, Terence; Ziegler, Tamar
2013
Topics in random matrix theory. Zbl 1256.15020
Tao, Terence
2012
The Möbius function is strongly orthogonal to nilsequences. Zbl 1347.37019
Green, Ben; Tao, Terence
2012
Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem. Zbl 1266.46017
Naor, Assaf; Tao, Terence
2012
An inverse theorem for the Gowers $$U^{s+1}[N]$$-norm. Zbl 1282.11007
Green, Ben; Tao, Terence; Ziegler, Tamar
2012
The quantitative behaviour of polynomial orbits on nilmanifolds. Zbl 1251.37012
Green, Ben; Tao, Terence
2012
The structure of approximate groups. Zbl 1260.20062
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2012
An incidence theorem in higher dimensions. Zbl 1253.51004
Solymosi, József; Tao, Terence
2012
Random covariance matrices: universality of local statistics of eigenvalues. Zbl 1247.15036
Tao, Terence; Vu, Van
2012
A variation norm Carleson theorem. Zbl 1246.42016
Oberlin, Richard; Seeger, Andreas; Tao, Terence; Thiele, Christoph; Wright, James
2012
Random matrices: universal properties of eigenvectors. Zbl 1248.15031
Tao, Terence; Vu, Van
2012
A central limit theorem for the determinant of a Wigner matrix. Zbl 1248.60011
Tao, Terence; Vu, Van
2012
Higher order Fourier analysis. Zbl 1277.11010
Tao, Terence
2012
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
2012
The inverse conjecture for the Gowers norm over finite fields in low characteristic. Zbl 1306.11015
Tao, Terence; Ziegler, Tamar
2012
Large values of the Gowers-Host-Kra seminorms. Zbl 1305.11009
Eisner, Tanja; Tao, Terence
2012
Deterministic methods to find primes. Zbl 1267.11123
Tao, Terence; Croot, Ernest III; Helfgott, Harald
2012
Asymptotic decay for a one-dimensional nonlinear wave equation. Zbl 1273.35049
2012
The Littlewood-Offord problem in high dimensions and a conjecture of Frankl and Füredi. Zbl 1289.05453
Tao, Terence; Vu, Van
2012
Random matrices: universality of local eigenvalue statistics. Zbl 1217.15043
Tao, Terence; Vu, Van
2011
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2011
...and 210 more Documents
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### 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
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### 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. Analyse Non Linéaire 49 Mathematical Problems in Engineering 49 Random Matrices: Theory and Applications 48 Inventiones Mathematicae 48 The Journal of Geometric Analysis 47 Discrete & Computational Geometry 47 Bulletin of the American Mathematical Society. New Series 45 Annals of Mathematics. Second Series 44 Journal of the American Mathematical Society 44 Discrete Analysis 43 Inverse Problems 43 Journal of Multivariate Analysis 43 Mathematical Programming. Series A. Series B 43 Foundations of Computational Mathematics 42 Archive for Rational Mechanics and Analysis 41 The Annals of Probability 41 European Journal of Combinatorics 40 Journal of Statistical Physics 40 Ergodic Theory and Dynamical Systems 40 Computational Statistics and Data Analysis 40 Computational Optimization and Applications 38 Forum Mathematicum 37 Acta Mathematica Sinica. 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
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### 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)

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