Terence Tao

发表

Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory

Terence Tao, T. Tao, 2013, 1310.6482.

Additive combinatorics

Terence Tao, Van H. Vu, T. Tao, 2007, Cambridge studies in advanced mathematics.

Decoding by linear programming

Emmanuel J. Candès, Terence Tao, E. Candès, 2005, IEEE Transactions on Information Theory.

Analysis I: Third Edition

Terence Tao, T. Tao, 2006 .

A nilpotent Freiman dimension lemma

Ben Green, Terence Tao, Emmanuel Breuillard, 2011, Eur. J. Comb..

Solving mathematical problems - a personal perspective

Terence Tao, 2006 .

Every odd number greater than 1 is the sum of at most five primes

Terence Tao, T. Tao, 2012, Math. Comput..

The condition number of a randomly perturbed matrix

Terence Tao, Van H. Vu, 2007, STOC '07.

Freiman's theorem for solvable groups

Terence Tao, T. Tao, 2009, Contributions Discret. Math..

The $T(b)$ theorem and its variants

Terence Tao, 2003 .

A Positive Proof of the Littlewood-Richardson Rule using the Octahedron Recurrence

Terence Tao, Allen Knutson, Christopher Woodward, 2004, Electron. J. Comb..

Building Lie structure from representations and metrics

Terence Tao, T. Tao, 2014 .

Sumset and Inverse Sumset Theory for Shannon Entropy

Terence Tao, T. Tao, 2009, Combinatorics, Probability and Computing.

Structure and Randomness in Combinatorics

Terence Tao, T. Tao, 2007, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07).

Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?

Emmanuel J. Candès, Terence Tao, E. Candès, 2004, IEEE Transactions on Information Theory.

Real analysis : pages from year three of a mathematical blog

Terence Tao, T. Tao, 2010 .

Szemerédi's regularity lemma revisited

Terence Tao, 2006, Contributions Discret. Math..

Error correction via linear programming

Emmanuel J. Candès, Terence Tao, Mark Rudelson, 2005, 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05).

The sum-product phenomenon in arbitrary rings

Terence Tao, T. Tao, 2008, Contributions Discret. Math..

An Incidence Theorem in Higher Dimensions

József Solymosi, Terence Tao, 2012, Discret. Comput. Geom..

Smooth analysis of the condition number and the least singular value

Terence Tao, Van H. Vu, T. Tao, 2008, Math. Comput..

Random matrices have simple spectrum

Terence Tao, Van H. Vu, T. Tao, 2014, Comb..

Smooth analysis of the condition number and the least singular value

Terence Tao, Van H. Vu, T. Tao, 2008, Math. Comput..

Some remarks on the lonely runner conjecture

Terence Tao, T. Tao, 2017, Contributions Discret. Math..

On random plus/minus 1 matrices: Singularity and determinant

Terence Tao, Van H. Vu, 2006, Random Struct. Algorithms.

Product set estimates for non-commutative groups

Terence Tao, 2008, Comb..

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2001, SIAM J. Math. Anal..

Freiman's Theorem in Finite Fields via Extremal Set Theory

Ben Green, Terence Tao, 2009, Comb. Probab. Comput..

A Quantitative Ergodic Theory Proof of Szemerédi's Theorem

Terence Tao, 2006, Electron. J. Comb..

Testability and repair of hereditary hypergraph properties

Terence Tao, Tim Austin, T. Tao, 2008, Random Struct. Algorithms.

On random ±1 matrices: Singularity and determinant

Terence Tao, Van H. Vu, T. Tao, 2006, Random Struct. Algorithms.

The distribution of polynomials over finite fields, with applications to the Gowers norms

Ben Green, Terence Tao, T. Tao, 2007, Contributions Discret. Math..

Global Well-Posedness for Schrödinger Equations with Derivative

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2001, SIAM J. Math. Anal..

Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets

Terence Tao, T. Tao, 2012, Contributions Discret. Math..

Operator splitting for the KdV equation

Kenneth H. Karlsen, Terence Tao, Helge Holden, 2009, Math. Comput..

On Sets Defining Few Ordinary Lines

Ben Green, Terence Tao, T. Tao, 2012, Discret. Comput. Geom..

The Littlewood-Offord problem in high dimensions and a conjecture of Frankl and Füredi

Terence Tao, Van H. Vu, T. Tao, 2010, Comb..

The Dantzig selector: Statistical estimation when P is much larger than n

Terence Tao, Emmanuel Candes, E. Candès, 2005, math/0506081.

Noncommutative sets of small doubling

Terence Tao, T. Tao, 2011, Eur. J. Comb..

The Power of Convex Relaxation: Near-Optimal Matrix Completion

Emmanuel J. Candès, Terence Tao, E. Candès, 2009, IEEE Transactions on Information Theory.

A Bound on Partitioning Clusters

Terence Tao, Daniel Kane, T. Tao, 2017, Electron. J. Comb..

A variant of the hypergraph removal lemma

Terence Tao, 2006, J. Comb. Theory, Ser. A.

Szemerédi's Theorem

Ben Green, Terence Tao, 2007, Scholarpedia.

An Epsilon of Room, II: pages from year three of a mathematical blog

Terence Tao, T. Tao, 2011 .

A sharp inverse Littlewood‐Offord theorem

Terence Tao, Van H. Vu, T. Tao, 2009, Random Struct. Algorithms.

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

Emmanuel J. Candès, Justin K. Romberg, Terence Tao, 2004, IEEE Transactions on Information Theory.

The inverse theorem for the $U^3$ Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches

Terence Tao, Asgar Jamneshan, 2021 .

The structure of arbitrary Conze-Lesigne systems

Terence Tao, Or Shalom, Asgar Jamneshan, 2021, 2112.02056.

On the sign patterns of entrywise positivity preservers in fixed dimension

Terence Tao, Apoorva Khare, T. Tao, 2017, American Journal of Mathematics.

Singmaster's conjecture in the interior of Pascal's triangle

Terence Tao, Xuancheng Shao, Maksym Radziwill, 2021 .

The effective potential of an M-matrix

Terence Tao, Marcel Filoche, Svitlana Mayboroda, 2021 .

Optimal Sine and Sawtooth Inequalities

Terence Tao, Burt Totaro, Chengxi Wang, 2021, Journal of Fourier Analysis and Applications.

The Hardy--Littlewood--Chowla conjecture in the presence of a Siegel zero

Terence Tao, Joni Teravainen, 2021 .

Quantitative bounds for Gowers uniformity of the M\"obius and von Mangoldt functions

Terence Tao, Joni Teravainen, 2021 .

Undecidable translational tilings with only two tiles, or one nonabelian tile

Terence Tao, Rachel Greenfeld, 2021 .

An X-ray transform estimate in "Rn"

Terence Tao, Izabella Laba, T. Tao, 2001 .

Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

Terence Tao, Monica Visan, Xiaoyi Zhang, 2007 .

Sharp global well-posedness for KdV and modified KdV on ℝ and

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2003 .

Velocity averaging, kinetic formulations, and regularizing effects in quasi‐linear PDEs

Eitan Tadmor, Terence Tao, T. Tao, 2007 .

The Gaussian primes contain arbitrarily shaped constellations

Terence Tao, T. Tao, 2005 .

New bounds for Szemeredi's theorem, II: A new bound for r_4(N)

Ben Green, Terence Tao, 2006 .

GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)

Terence Tao, T. Tao, 2004 .

The Inverse Conjecture for the Gowers Norm over Finite Fields in Low Characteristic

Terence Tao, Tamar Ziegler, T. Tao, 2011, 1101.1469.

Random matrices: Universal properties of eigenvectors

Terence Tao, Van Vu, T. Tao, 2011, 1103.2801.

A Finitary Version of Gromov’s Polynomial Growth Theorem

Terence Tao, Yehuda Shalom, T. Tao, 2009, 0910.4148.

An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications

Ben Green, Terence Tao, T. Tao, 2010, 1002.2028.

An improved bound on the Minkowski dimension of Besicovitch sets in R^3

Terence Tao, Nets Hawk Katz, Izabella Łaba, 1999 .

Fuglede's conjecture is false in 5 and higher dimensions

Terence Tao, T. Tao, 2003, math/0306134.

Higher Order Fourier Analysis

Terence Tao, T. Tao, 2012 .

Puzzles and (equivariant) cohomology of Grassmannians

Terence Tao, Allen Knutson, T. Tao, 2001, math/0112150.

Restriction and Kakeya phenomena for finite fields

Terence Tao, T. Tao, G. Mockenhaupt, 2002 .

Linear equations in primes

Ben Green, Terence Tao, T. Tao, 2006, math/0606088.

The high exponent limit p →∞ for the one-dimensional nonlinear wave equation

Terence Tao, T. Tao, 2009 .

A new bound on partial sum-sets and difference-sets, and applications to the Kakeya conjecture

Terence Tao, Nets Hawk Katz, 1999 .

Sumfree sets in groups: a survey

Terence Tao, Van Vu, T. Tao, 2016, 1603.03071.

Suzuki groups as expanders

Ben Green, Terence Tao, Emmanuel Breuillard, 2010, 1005.0782.

Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations

Terence Tao, 2000 .

Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data

Terence Tao, Marcus Keel, 1998 .

Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type

Terence Tao, Nets Hawk Katz, 2001 .

Local well-posedness of the Yang-Mills equation in the temporal gauge below the energy norm

Terence Tao, 2000 .

An equivalence between inverse sumset theorems and inverse conjectures for the U3 norm

Ben Green, Terence Tao, T. Tao, 2009, Mathematical Proceedings of the Cambridge Philosophical Society.

Minimal-mass blowup solutions of the mass-critical NLS

Terence Tao, Monica Visan, Xiaoyi Zhang, 2006, math/0609690.

A Correspondence Principle between (hyper)graph Theory and Probability Theory, and the (hyper)graph Removal Lemma

Terence Tao, Terence Tao, 2006 .

The dichotomy between structure and randomness, arithmetic progressions, and the primes

Terence Tao, T. Tao, 2005, math/0512114.

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

Ben Green, Terence Tao, T. Tao, 2008, Proceedings of the Edinburgh Mathematical Society.

The inverse conjecture for the Gowers norm over finite fields via the correspondence principle

Terence Tao, Tamar Ziegler, T. Tao, 2008, 0810.5527.

Bulk universality for Wigner hermitian matrices with subexponential decay

Terence Tao, Van Vu, Horng-Tzer Yau, 2009, 0906.4400.

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of F

Terence Tao, Vitaly Bergelson, Tamar Ziegler, 2010 .

An improved bound on the Minkowski dimension of Besicovitch sets in $\mathbb{R}^3$

Terence Tao, Izabella Laba, Nets Hawk Katz, 2000 .

Multiple Recurrence in Quasirandom Groups

Terence Tao, Vitaly Bergelson, 2012 .

QUADRATIC UNIFORMITY OF THE MOBIUS FUNCTION

Ben Green, Terence Tao, T. Tao, 2006, math/0606087.

Why are solitons stable

Terence Tao, T. Tao, 2008, 0802.2408.

A new bound for finite field besicovitch sets in four dimensions

Terence Tao, T. Tao, 2002, math/0204251.

Restriction theory of the Selberg sieve, with applications

Ben Green, Terence Tao, 2004 .

The Erdos discrepancy problem

Terence Tao, T. Tao, 2015, 1509.05363.

Poincare's Legacies, Part II: pages from year two of a mathematical blog

Terence Tao, T. Tao, 2009 .

John-type theorems for generalized arithmetic progressions and iterated sumsets

Terence Tao, Van Vu, 2006 .

Random matrices: Localization of the eigenvalues and the necessity of four moments

Terence Tao, Van Vu, 2010 .

L p IMPROVING BOUNDS FOR AVERAGES ALONG CURVES

Terence Tao, T. Tao, Jim Wright, 2001, math/0108137.

Local Universality of Zeroes of Random Polynomials

Terence Tao, Van Vu, T. Tao, 2013, 1307.4357.

Localisation and compactness properties of the Navier-Stokes global regularity problem

Terence Tao, 2011 .

The Lang-Weil bound

Terence Tao, 2015 .

The Kakeya set and maximal conjectures for algebraic varieties over finite fields

Terence Tao, Jordan Ellenberg, Richard Oberlin, 2009, 0903.1879.

Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions

Terence Tao, Andrew Hassell, 2002 .

Poincare's Legacies: Pages from Year Two of a Mathematical Blog

Terence Tao, T. Tao, 2009 .

On the multilinear restriction and Kakeya conjectures

Terence Tao, Anthony Carbery, Jonathan Bennett, 2005, math/0509262.

Random matrices: Universality of ESDs and the circular law

Terence Tao, Van Vu, Manjunath Krishnapur, 2008, 0807.4898.

AN INVERSE THEOREM FOR THE GOWERS U4-NORM

Ben Green, Terence Tao, Tamar Ziegler, 2005, Glasgow Mathematical Journal.

New bounds for Kakeya problems

Terence Tao, Nets Katz, 2001 .

The Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices

Terence Tao, Van Vu, T. Tao, 2011, 1101.5707.

Multilinear estimates for periodic KdV equations, and applications

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2001, math/0110049.

A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation

Terence Tao, T. Tao, 2007, 0710.1604.

The nonlinear Schr

Terence Tao, Monica Visan, Xiaoyi Zhang, 2005 .

Works Title An Inverse Theorem for the Uniformity Seminorms Associated with the Action of

Terence Tao, Vitaly Bergelson, Tamar Ziegler, 2010 .

The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

Terence Tao, Monica Visan, Xiaoyi Zhang, 2005 .

An inverse theorem for the Gowers U^{s+1}[N]-norm

Terence Tao, Tamar Ziegler, T. Tao, 2010 .

Low-regularity global solutions to nonlinear dispersive equations

Terence Tao, T. Tao, 2002 .

A sharp inverse Littlewood-Offord theorem

Terence Tao, Van Vu, 2010 .

Norm convergence of multiple ergodic averages for commuting transformations

Terence Tao, T. Tao, 2007, Ergodic Theory and Dynamical Systems.

The cubic nonlinear Schr\"odinger equation in two dimensions with radial data

Terence Tao, Monica Visan, Rowan Killip, 2007, 0707.3188.

A NOTE ON THE FREIMAN AND BALOG–SZEMERÉDI–GOWERS THEOREMS IN FINITE FIELDS

Ben Green, Terence Tao, T. Tao, 2007, Journal of the Australian Mathematical Society.

A REMARK ON PARTIAL SUMS INVOLVING THE MÖBIUS FUNCTION

Terence Tao, 2010, Bulletin of the Australian Mathematical Society.

On multilinear oscillatory integrals, nonsingular and singular

Terence Tao, Christoph Thiele, Michael Christ, 2005 .

The structure of approximate groups

Ben Green, Terence Tao, Emmanuel Breuillard, 2011, Publications mathématiques de l'IHÉS.

An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)

Ben Green, Terence Tao, Tamar Ziegler, 2010, 1009.3998.

Linear Approximate Groups

Ben Green, Terence Tao, Emmanuel Breuillard, 2010, 1001.4570.

Testability and repair of hereditary hypergraph properties

Terence Tao, Tim Austin, T. Tao, 2010 .

Random matrices: Universality of local spectral statistics of non-Hermitian matrices

Terence Tao, Van Vu, T. Tao, 2012, 1206.1893.

Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem

Assaf Naor, Terence Tao, T. Tao, 2010, 1003.4013.

BOUNDS ON ARITHMETIC PROJECTIONS, AND APPLICATIONS TO THE KAKEYA CONJECTURE

Terence Tao, Nets Hawk Katz, T. Tao, 1999 .

New bounds for Szemerédi's theorem, I: progressions of length 4 in finite field geometries

Ben Green, Terence Tao, T. Tao, 2009 .

PERELMAN'S PROOF OF THE POINCAR´ E CONJECTURE: A NONLINEAR PDE PERSPECTIVE

Terence Tao, T. Tao, 2006, math/0610903.

Approximate Subgroups of Linear Groups

Ben Green, Terence Tao, Emmanuel Breuillard, 2010, 1005.1881.

Sum-avoiding sets in groups

Terence Tao, Van Vu, T. Tao, 2016, 1603.03068.

Nonlinear Fourier Analysis

Terence Tao, Christoph Thiele, 2012 .

Almost Everywhere Behavior of General Wavelet Shrinkage Operators

Brani Vidakovic, Terence Tao, 2000 .

Bi-parameter paraproducts

Terence Tao, Christoph Thiele, Jill Pipher, 2003, math/0310367.

Recent progress on the Kakeya conjecture

Terence Tao, T. Tao, N. Katz, 2000 .

COMPRESSIONS, CONVEX GEOMETRY AND THE FREIMAN–BILU THEOREM

Ben Green, Terence Tao, 2005 .

From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE

Terence Tao, T. Tao, 2000 .

Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions

Terence Tao, 2001 .

The quantitative behaviour of polynomial orbits on nilmanifolds

Ben Green, Terence Tao, T. Tao, 2007, 0709.3562.

The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture

Terence Tao, Allen Knutson, T. Tao, 1998, math/9807160.

Ill-posedness for one-dimensional wave maps at the critical regularity

Terence Tao, 1998 .

A sum-product estimate in finite fields, and applications

Terence Tao, Jean Bourgain, T. Tao, 2003, math/0301343.