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List of works by Terence Tao

A Finitary Version of Gromov’s Polynomial Growth Theorem

A REMARK ON PRIMALITY TESTING AND DECIMAL EXPANSIONS

A bilinear approach to the restriction and Kakeya conjectures

scientific article published in 1998

A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal lemma

scientific article published in 2007

A counterexample to a multilinear endpoint question of Christ and Kiselev

scientific article published on 30 August 2013

A multi-dimensional Szemerédi theorem for the primes via a correspondence principle

A nilpotent Freiman dimension lemma

scientific article published in 2013

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

scientific article published in 2007

A sum-product estimate in finite fields, and applications

article

A variant of the hypergraph removal lemma

Almost all orbits of the Collatz map attain almost bounded values

scientific article published in 2022

An Epsilon of Room, I: Real Analysis

scientific paper published on 14th December 2010

An Improved Bound on the Minkowski Dimension of Besicovitch Sets in ℝ 3

article by Nets Katz et al published September 2000 in Annals of Mathematics

An Incidence Theorem in Higher Dimensions

An Inverse Theorem for an Inequality of Kneser

scholarly article

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$

An averaged form of Chowla’s conjecture

scientific article published in 2015

An equivalence between inverse sumset theorems and inverse conjectures for the<i>U</i><sup>3</sup>norm

scientific article published in 2010

An integration approach to the Toeplitz square peg problem

scientific article published in 2017

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

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

An uncertainty principle for cyclic groups of prime order

article published in 2005

An uncountable Moore–Schmidt theorem

scientific article published on 11 May 2022

Analysis and applications: The mathematical work of Elias Stein

scientific article published on 3 March 2020

Book Review: Combinatorics and random matrix theory; Dynamical approach to random matrix theory

scholarly article

Book Review: Polynomial methods in combinatorics

article

Bounds on arithmetic projections, and applications to the Kakeya conjecture

scientific article published in 1999

Correction to: Fourier uniformity of bounded multiplicative functions in short intervals on average ⬇️

scholarly article

Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges

scientific article published in 2018

Cross-linking between the regulatory regions of troponin-I and troponin-C abolishes the inhibitory function of troponin

scientific article published in October 2002

Decoding by Linear Programming ⬇️

journal article from 'IEEE Transactions on Information Theory' published in 2005

Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra

scientific article published on 18 February 2021

Embedding the Heisenberg group into a bounded-dimensional Euclidean space with optimal distortion

scientific article published in 2020

Endpoint Strichartz estimates

article published in 1998

Erratum to “The primes contain arbitrarily long polynomial progressions”

scholarly article published in Acta Mathematica

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

mathematics article published in 2013

Expansion in finite simple groups of Lie type

scientific article published in 2015

Finite time blowup for an averaged three-dimensional Navier-Stokes equation

Fourier uniformity of bounded multiplicative functions in short intervals on average

scientific article published in 2020

Fuglede’s conjecture is false in 5 and higher dimensions

scientific article published in 2004

GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA

scientific article published in 2007

GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H<sup>1</sup>(<b>R</b>)

scientific article published in 2004

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

Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ3

Higher uniformity of arithmetic functions in short intervals I. All intervals

scientific article published in January 2023

Insights From SMPY's Greatest Former Child Prodigies: Drs. Terence (“Terry”) Tao and Lenhard (“Lenny”) Ng Reflect on Their Talent Development

Jean Bourgain, problem solver

scientific article published on 17 June 2019

Large gaps between consecutive prime numbers

scientific article (publication date: May 2016)

Linear equations in primes

scientific article (publication date: 25 April 2010)

Long gaps between primes

scientific article published in 2018

Multilinear weighted convolution of Lˆ2 functions, and applications to nonlinear dispersive equations

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

New bounds for Kakeya problems

New equidistribution estimates of Zhang type ⬇️

article

Obstructions to Uniformity and Arithmetic Patterns in the Primes

scientific article (publication date: 2006)

Odd order cases of the logarithmically averaged Chowla conjecture

scientific article published in 2018

On Sets Defining Few Ordinary Lines

On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation

scientific article published in 2004

On the maximal Bochner-Riesz conjecture in the plane for 𝑝&lt;2

scientific article published in 2002

On the multilinear restriction and Kakeya conjectures

scientific article published in 2006

Optimal Sine and Sawtooth Inequalities

scientific article published on 28 February 2022

Perfectly Packing a Square by Squares of Nearly Harmonic Sidelength

scientific article published in July 2023

Pointwise ergodic theorems for non-conventional bilinear polynomial averages

scientific article published in 2022

Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions

scientific article published on 12 December 2023

RANDOM MATRICES: THE CIRCULAR LAW

Random matrices: Universality of ESDs and the circular law

Random matrices: Universality of local eigenvalue statistics

scientific article published in 2011

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

scientific article published in 2015

Recent progress on the Kakeya conjecture

Restriction theory of the Selberg sieve, with applications

scientific article published in 2006

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

article

Sendov’s conjecture for sufficiently-high-degree polynomials

scientific article published in 2022

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

Singmaster’s Conjecture In The Interior Of Pascal’s Triangle

scientific article published in 2022

Spacetime bounds for the energy-critical nonlinear wave equation in three spatial dimensions

scientific article published in 2006

Stable Signal Recovery from Incomplete and Inaccurate Measurements

scientific article published in 2006

Structural basis of protein phosphatase 1 regulation

scientific article

Structure and Randomness in the Prime Numbers

THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE

scientific article published in 2020

THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS

scientific article published in 2009

THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS

scientific article published in 2016

The Bochner-Riesz conjecture implies the restriction conjecture

scientific article published in 1999

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

scientific article published in 2007

The Elliott–Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture

scientific article published in 2015

The Erdős discrepancy problem

The Fuglede spectral conjecture holds for convex planar domains

scientific article published in 2003

The Gaussian primes contain arbitrarily shaped constellations

scientific article (publication date: December 2006)

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

scientific article published in 2022

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

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

scientific article published in 2012

The Möbius function is strongly orthogonal to nilsequences

The Power of Convex Relaxation: Near-Optimal Matrix Completion

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

scientific article published in 2011

The convergence of an alternating series of Erdős, assuming the Hardy–Littlewood prime tuples conjecture

scientific article published in February 2024

The cubic nonlinear Schrödinger equation in two dimensions with radial data

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

The effective potential of an M -matrix

scientific article published in April 2021

The honeycomb model of GL_n(ℂ) tensor products I: Proof of the saturation conjecture

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

The nonlinear Schrödinger equation with combined power-type nonlinearities

The primes contain arbitrarily long arithmetic progressions

scientific article published in 2008

The primes contain arbitrarily long polynomial progressions

The quantitative behaviour of polynomial orbits on nilmanifolds

scientific article published in 2012

The structure of approximate groups

The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures

scientific article published in 2019

The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures

scientific article published in 2019

The weak-type endpoint Bochner-Riesz conjecture and related topics

scientific article published in 1998

Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

article published in 2010

VALUE PATTERNS OF MULTIPLICATIVE FUNCTIONS AND RELATED SEQUENCES ⬇️

scholarly article

What are the odds, II: the Venezuelan presidential election ⬇️

July 2024 mathematician's blog article on Venezuela presidential election

Why are solitons stable?

Zarankiewicz’s problem for semilinear hypergraphs

scientific article published in 2021

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