Tao is arguably the greatest living mathematician, and has been called the greatest mathematician of his generation. Born in South Australia, Tao was a child prodigy, the youngest person ever to win a medal in the International Mathematical Olympiad—he was ten. He has since won the Field Medal, the “Nobel Prize” for mathematicians. Terence Tao holds the James and Carol Collins Chair in Mathematics at the University of California at Los Angeles (UCLA).

At the age of 14, Tao attended the Research Science Institute, a summer seminar for talented high school students hosted by the Massachusetts Institute of Technology (MIT). At the age of 16, he received his bachelor’s and master’s degrees in mathematics at Princeton University. He received his Ph.D. from Princeton at age 20. He joined UCLA at the age of 24 and became the youngest person ever appointed to full professor by the university.

Tao’s focus is on partial differential equations, a nonlinear area of calculus, or the mathematics of change. Those who know him are quick to point out that he has an impressive grasp of seemingly all of mathematics—a rare feat, particularly today in an age of specialization. He has also done important work in fields as diverse as probability theory to number theory. As fellow mathematician Timothy Gowers put it when reviewing one of Tao’s books, *“it is not easy to find gaps in Tao’s knowledge, and if you do then you may well find that the gaps have been filled a year later.”*

Tao has won numerous awards, including but not limited to the Field Medal (referenced above), in 2006 a MacArthur Award (the “genius” award), Fellow of the Royal Society (2007), and in 2009 he was inducted into the American Academy of Arts and Sciences.

**Featured in Top Influential Mathematicians Today**

According to Wikipedia, Terence Chi-Shen Tao is an Australian-American mathematician. He is a professor of mathematics at the University of California, Los Angeles , where he holds the James and Carol Collins chair. His research includes topics in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and analytic number theory.

- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Stable signal recovery from incomplete and inaccurate measurements
- Decoding by linear programming
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- The Power of Convex Relaxation: Near-Optimal Matrix Completion
- Nonlinear dispersive equations : local and global analysis
- Additive combinatorics
- The primes contain arbitrarily long arithmetic progressions
- Topics in Random Matrix Theory
- A sum-product estimate in finite fields, and applications
- Sharp global well-posedness for KdV and modified KdV on ℝ and
- The honeycomb model of _{}(ℂ) tensor products I: Proof of the saturation conjecture
- Random matrices: Universality of local eigenvalue statistics
- Random matrices: Universality of ESDs and the circular law
- Linear equations in primes
- Global well-posedness and scattering for the energy-critical nonlinear Schr\"odinger equation in R^3
- Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$
- Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations
- Fuglede's conjecture is false in 5 and higher dimensions
- The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture
- A sharp bilinear restriction estimate for paraboloids
- The honeycomb model of _{}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
- A bilinear approach to the restriction and Kakeya conjectures
- RANDOM MATRICES: THE CIRCULAR LAW
- On the multilinear restriction and Kakeya conjectures
- Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge
- Almost conservation laws and global rough solutions to a Nonlinear Schr
- The cubic nonlinear Schr\"odinger equation in two dimensions with radial data
- Puzzles and (equivariant) cohomology of Grassmannians
- Product set estimates for non-commutative groups
- An uncertainty principle for cyclic groups of prime order
- Norm convergence of multiple ergodic averages for commuting transformations
- Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions
- A variant of the hypergraph removal lemma
- On the singularity probability of random Bernoulli matrices
- An inverse theorem for the Gowers U^{s+1}[N]-norm
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
- Ill-posedness for nonlinear Schrodinger and wave equations
- Multi-linear operators given by singular multipliers
- The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals
- Multilinear estimates for periodic KdV equations, and applications
- The quantitative behaviour of polynomial orbits on nilmanifolds
- GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)
- GLOBAL EXISTENCE AND SCATTERING FOR ROUGH SOLUTIONS OF A NONLINEAR SCHR ¨ ODINGER EQUATION ON R 3
- AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
- Honeycombs and sums of Hermitian matrices
- Approximate Subgroups of Linear Groups
- A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
- AN INVERSE THEOREM FOR THE GOWERS U4-NORM
- A bilinear approach to cone multipliers I. Restriction estimates
- On random ±1 matrices: Singularity and determinant
- The Mobius function is strongly orthogonal to nilsequences
- Global Well-Posedness for Schrödinger Equations with Derivative
- Finite time blowup for an averaged three-dimensional Navier-Stokes equation
- An Incidence Theorem in Higher Dimensions
- The structure of approximate groups
- Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
- Minimal-mass blowup solutions of the mass-critical NLS
- Random Matrices: the Distribution of the Smallest Singular Values
- Bi-parameter paraproducts
- The primes contain arbitrarily long polynomial progressions
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
- Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
- Some Recent Progress on the Restriction Conjecture
- The Bochner-Riesz conjecture implies the restriction conjecture
- Global regularity of wave maps, I: small critical Sobolev norm in high dimension
- Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data
- The distribution of polynomials over finite fields, with applications to the Gowers norms
- STABILITY OF ENERGY-CRITICAL NONLINEAR SCHR¨ ODINGER EQUATIONS IN HIGH DIMENSIONS
- Restriction and Kakeya phenomena for finite fields
- From the Littlewood-Offord problem to the Circular Law: universality of the spectral distribution of random matrices
- Random covariance matrices: Universality of local statistics of eigenvalues
- A bilinear approach to cone multipliers II. Applications
- Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
- Sharp well-posedness and ill-posedness results for a quadratic non-linear Schr
- Outliers in the spectrum of iid matrices with bounded rank perturbations
- Bulk universality for Wigner hermitian matrices with subexponential decay
- From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE
- A new proof of the density Hales-Jewett theorem
- Szemerédi's regularity lemma revisited
- Random matrices: Universality of local spectral statistics of non-Hermitian matrices
- An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)
- Variants of the Selberg sieve, and bounded intervals containing many primes
- L p IMPROVING BOUNDS FOR AVERAGES ALONG CURVES
- Why are solitons stable
- Spherically averaged endpoint Strichartz estimates for the two-dimensional Schr
- An averaged form of Chowla's conjecture
- A Quantitative Ergodic Theory Proof of Szemerédi's Theorem
- On Sets Defining Few Ordinary Lines
- Higher Order Fourier Analysis
- Random symmetric matrices are almost surely nonsingular
- Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data
- Global well-posedness for KdV in Sobolev spaces of negative index
- Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type
- Multi-parameter paraproducts
- Structure and randomness
- Random matrices: Universal properties of eigenvectors
- Testability and repair of hereditary hypergraph properties
- Carleson measures, trees, extrapolation, and T(b) theorems
- Smooth analysis of the condition number and the least singular value
- The Fuglede spectral conjecture holds for convex planar domains
- The inverse conjecture for the Gowers norm over finite fields via the correspondence principle
- An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications
- Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
- The dichotomy between structure and randomness, arithmetic progressions, and the primes
- Hilbert's Fifth Problem and Related Topics
- Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates
- On the asymptotic behavior of large radial data for a focusing non-linear Schr\
- QUADRATIC UNIFORMITY OF THE MOBIUS FUNCTION
- A singularity removal theorem for Yang-Mills fields in higher dimensions
- A Finitary Version of Gromov’s Polynomial Growth Theorem
- THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS
- New bounds for Kakeya problems
- The Inverse Conjecture for the Gowers Norm over Finite Fields in Low Characteristic
- Sumset and Inverse Sumset Theory for Shannon Entropy
- Random matrices: The Universality phenomenon for Wigner ensembles
- Local Universality of Zeroes of Random Polynomials
- An improved bound on the Minkowski dimension of Besicovitch sets in $\mathbb{R}^3$
- GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗
- The Mobius function is strongly orthogonal to nilsequences
- Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data
- Effective Limiting Absorption Principles, and Applications
- A variation norm Carleson theorem
- Expansion in finite simple groups of Lie type
- Scattering for the quartic generalised Korteweg–de Vries equation
- Lp estimates for the biest II. The Fourier case
- Restriction theory of the Selberg sieve, with applications
- A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal lemma
- BOUNDS ON ARITHMETIC PROJECTIONS, AND APPLICATIONS TO THE KAKEYA CONJECTURE
- Operator splitting for the KdV equation
- A Positive Proof of the Littlewood-Richardson Rule using the Octahedron Recurrence
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation
- A pseudoconformal compactification of the nonlinear Schrodinger equation and applications
- What is good mathematics
- A (concentration-)compact attractor for high-dimensional non-linear Schr\
- The Gaussian primes contain arbitrarily shaped constellations
- Global regularity of wave maps III. Large energy from $\R^{1+2}$ to hyperbolic spaces
- Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
- Random matrices have simple spectrum
- Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory
- The condition number of a randomly perturbed matrix
- A central limit theorem for the determinant of a Wigner matrix
- An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$
- Global Regularity for the Maxwell-Klein-Gordon Equation with Small Critical Sobolev Norm in High Dimensions
- Recent progress on the Kakeya conjecture
- Spacetime bounds for the energy-critical nonlinear wave equation in three spatial dimensions
- A priori bounds and weak solutions for the nonlinear Schr
- Velocity averaging, kinetic formulations, and regularizing effects in quasi‐linear PDEs
- A counterexample to a multilinear endpoint question of Christ and Kiselev
- THE WEAK-TYPE ENDPOINT BOCHNER-RIESZ CONJECTURE AND RELATED TOPICS
- Global Existence and Scattering for Rough Solutions of a Nonlinear Schr¨odinger Equation on R
- Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$
- A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds
- The Kakeya set and maximal conjectures for algebraic varieties over finite fields
- New equidistribution estimates of Zhang type
- REMARK ON THE PAPER “SHARP WELL-POSEDNESS AND ILL-POSEDNESS RESULTS FOR A QUADRATIC NON-LINEAR SCHRÖDINGER EQUATION” BY I. BEJENARU AND T. TAO
- Local well-posedness of the Yang-Mills equation in the temporal gauge below the energy norm
- Freiman's Theorem in Finite Fields via Extremal Set Theory
- Breaking the duality in the return times theorem
- Maximal multilinear operators
- Low-regularity global solutions to nonlinear dispersive equations
- Freiman's theorem for solvable groups
- Random Martingales and localization of maximal inequalities
- Geometric renormalization of large energy wave maps
- The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures
- Long gaps between primes
- The sum-product phenomenon in arbitrary rings
- A Carleson type theorem for a Cantor group model of the scattering transform
- Structure and Randomness in Combinatorics
- Recent progress on the restriction conjecture
- Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets
- Random matrices: tail bounds for gaps between eigenvalues
- A sharp inverse Littlewood-Offord theorem
- Global well-posedness of the Benjamin-Ono equation in H^1(R)
- On the Almost Everywhere Convergence of Wavelet Summation Methods
- Random matrices: Universality of eigenvectors
- New bounds for Szemeredi's theorem, II: A new bound for r_4(N)
- An improved bound on the Minkowski dimension of Besicovitch sets in R^3
- Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class
- Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems
- The weak-type (1,1) of L \log L homogeneous convolution operators
- Large gaps between consecutive prime numbers
- Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
- On the maximal Bochner-Riesz conjecture in the plane for p < 2
- The Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices
- On multilinear oscillatory integrals, nonsingular and singular
- Localisation and compactness properties of the Navier-Stokes global regularity problem
- Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures
- COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS
- Sharp Lorentz space estimates for rough operators
- Global regularity of wave maps VII. Control of delocalised or dispersed solutions
- Random matrices: Sharp concentration of eigenvalues
- Endpoint multiplier theorems of Marcinkiewicz type
- Lp estimates for the biest I. The Walsh case
- Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm
- Poincare's Legacies: Pages from Year Two of a Mathematical Blog
- Uniform estimates on multi-linear operators with modulation symmetry
- An Epsilon of Room, II: pages from year three of a mathematical blog
- Classification of almost quarter-pinched manifolds
- Suzuki groups as expanders
- ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS
- A variation norm Carleson theorem
- Instability of the periodic nonlinear Schrodinger equation
- Every odd number greater than 1 is the sum of at most five primes
- A VARIATION
- New bounds for Szemerédi's theorem, I: progressions of length 4 in finite field geometries
- Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm
- Multilinear interpolation between adjoint operators
- COMPRESSIONS, CONVEX GEOMETRY AND THE FREIMAN–BILU THEOREM
- Symplectic nonsqueezing of the korteweg-de vries flow
- Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions
- Deterministic methods to find primes
- John-type theorems for generalized arithmetic progressions and iterated sumsets
- A quantitative version of the Besicovitch projection theorem via multiscale analysis
- Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2
- Strongly dense free subgroups of semisimple algebraic groups
- Large values of the Gowers-Host-Kra seminorms
- Multiple Recurrence in Quasirandom Groups
- Global well-posedness and scattering for the mass-critical nonlinear Schr\"odinger equation for radial data in high dimensions
- Lp bounds for a maximal dyadic sum operator
- An equivalence between inverse sumset theorems and inverse conjectures for the U3 norm
- The weak-type (1,1) of Fourier integral operators of order –(n–1)/2
- Low regularity semi-linear wave equations
- Low regularity semi—linear wave equations 1
- Real analysis : pages from year three of a mathematical blog
- The "bounded gaps between primes" Polymath project - a retrospective
- Additive Combinatorics: Graph-theoretic methods
- Additive Combinatorics: Contents
- PERELMAN'S PROOF OF THE POINCAR´ E CONJECTURE: A NONLINEAR PDE PERSPECTIVE
- THE SATURATION CONJECTURE (AFTER A. KNUTSON
- Global regularity of wave maps V. Large data local wellposedness and perturbation theory in the energy class
- SIGN PATTERNS OF THE LIOUVILLE AND MÖBIUS FUNCTIONS
- An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension
- On the permanent of random Bernoulli matrices
- The bi-Carleson operator
- A NOTE ON THE FREIMAN AND BALOG–SZEMERÉDI–GOWERS THEOREMS IN FINITE FIELDS
- Weak-type endpoint bounds for Riesz means
- Finite Time Blowup for Lagrangian Modifications of the Three-Dimensional Euler Equation
- Density Hales-Jewett and Moser Numbers
- Almost all orbits of the Collatz map attain almost bounded values
- Almost Everywhere Behavior of General Wavelet Shrinkage Operators
- Ill-posedness for one-dimensional wave maps at the critical regularity
- Global behaviour of nonlinear dispersive and wave equations
- Linear Approximate Groups
- Poincare's Legacies, Part II: pages from year two of a mathematical blog
- New equidistribution estimates of Zhang type
- THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE
- The Erdos discrepancy problem
- A Converse Extrapolation Theorem for Translation-Invariant Operators
- The asymptotic distribution of a single eigenvalue gap of a Wigner matrix
- Arithmetic progressions and the primes
- Solving mathematical problems - a personal perspective
- A new bound for finite field besicovitch sets in four dimensions
- The Littlewood-Offord problem in high dimensions and a conjecture of Frankl and Füredi
- Weakly turbulent solutions for the cubic defocusing nonlinear Schr\"odinger equation
- Compactness and Contradiction
- Obstructions to uniformity, and arithmetic patterns in the primes
- Odd order cases of the logarithmically averaged Chowla conjecture
- Random matrices: Localization of the eigenvalues and the necessity of four moments
- Works Title An Inverse Theorem for the Uniformity Seminorms Associated with the Action of
- Two remarks on the generalised Korteweg de-Vries equation
- Asymptotic decay for a one-dimensional nonlinear wave equation
- A physical space approach to wave equation bilinear estimates
- New equidistribution estimates of Zhang type, and bounded gaps between primes
- Yet Another Proof Of Szemerédi's Theorem
- Structure and Randomness in the Prime Numbers
- Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem
- Testability and repair of hereditary hypergraph properties
- AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
- An X-ray transform estimate in "Rn"
- A REMARK ON PARTIAL SUMS INVOLVING THE MÖBIUS FUNCTION
- On the universality of the incompressible Euler equation on compact manifolds
- Cancellation for the multilinear Hilbert transform
- On the sign patterns of entrywise positivity preservers in fixed dimension
- A COUNTEREXAMPLE TO AN ENDPOINT BILINEAR STRICHARTZ INEQUALITY
- Long-time decay estimates for the Schr\"odinger equation on manifolds
- A global compact attractor for high-dimensional defocusing non-linear Schr
- A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation
- Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges
- Uniform estimates on paraproducts
- New bounds for Szemeredi's theorem, Ia: Progressions of length 4 in finite field geometries revisited
- Small Doubling in Groups
- BOUNDS FOR A MAXIMAL DYADIC SUM OPERATOR
- Nonlinear Fourier Analysis
- A REMARK ON PRIMALITY TESTING AND DECIMAL EXPANSIONS
- Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors
- AN INVERSE THEOREM FOR THE BILINEAR L 2 STRICHARTZ ESTIMATE FOR THE WAVE EQUATION
- Quantitative bounds for critically bounded solutions to the Navier-Stokes equations
- POLYNOMIAL PATTERNS IN THE PRIMES
- A multi-dimensional Szemerédi theorem for the primes via a correspondence principle
- WELL-POSEDNESS AND SCATTERING FOR THE MASS-CRITICAL NONLINEAR SCHRÖDINGER EQUATION FOR RADIAL DATA IN HIGH DIMENSIONS
- The Lang-Weil bound
- Szemerédi's Theorem
- FINITE TIME BLOWUP FOR A SUPERCRITICAL DEFOCUSING NONLINEAR WAVE SYSTEM
- A Discrete Model for the Bi-Carleson Operator
- Inverse theorems for sets and measures of polynomial growth
- Erratum for "Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions"
- WAVE MAPS
- A sharp inverse Littlewood-Offord theorem
- On the universality of potential well dynamics
- A nilpotent Freiman dimension lemma
- Polynomial upper bounds for the instability of the Nonlinear Schr
- Searching for singularities in the Navier–Stokes equations
- An x-ray estimate in $R^n$
- E pluribus unum: From Complexity, Universality
- Random matrices: The Four Moment Theorem for Wigner ensembles
- Fourier uniformity of bounded multiplicative functions in short intervals on average
- Some light on Littlewood–Paley theory
- On multilinear oscillatory integrals, nonsingular and singular
- Sum-avoiding sets in groups
- New bounds for Szemer\'edi's theorem, III: A polylogarithmic bound for $r_4(N)$
- UNIVERSALITY OF ESDS AND THE CIRCULAR LAW
- Correlations of the von Mangoldt and higher divisor functions II: divisor correlations in short ranges
- Pointwise ergodic theorems for non-conventional bilinear polynomial averages
- Multi-linear multipliers associated to simplexes of arbitrary length
- A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
- Arithmetic progressions and the primes - El Escorial lectures
- Pointwise convergence of lacunary spherical means
- FAILURE OF THE $L^{1}$ POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP
- Sumfree sets in groups: a survey
- Noncommutative sets of small doubling
- MIXING FOR PROGRESSIONS IN NONABELIAN GROUPS
- An Inverse Theorem for an Inequality of Kneser
- The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures
- On random pm 1 matrices: singularity and determinant
- Random Matrices: a General Approach for the Least Singular Value Problem
- Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds
- DIFFERENTIAL FORMS AND INTEGRATION
- Erratum to “The primes contain arbitrarily long polynomial progressions”
- An uncountable Moore-Schmidt theorem
- Narrow Progressions in the Primes
- Large prime gaps and probabilistic models
- Global existence and uniqueness results for weak solutions of the focusing mass-critical non-linear Schr\"odinger equation
- The Elliott-Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture
- Sharp bounds for multilinear curved Kakeya, restriction and oscillatory integral estimates away from the endpoint.
- On the quantitative distribution of polynomial nilsequences — erratum
- A SHORT PROOF OF THE COIFMAN-MEYER MULTILINEAR THEOREM
- The Walsh model for $M_2^*$ Carleson
- A new bound on partial sum-sets and difference-sets, and applications to the Kakeya conjecture
- A ] 2 3 Ja n 20 01 Some connections between Falconer ’ s distance set conjecture , and sets of Furstenburg type Nets
- A Bound on Partitioning Clusters
- Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration
- Finite time blowup for a supercritical defocusing nonlinear Schrödinger system
- An uncountable Mackey-Zimmer theorem
- Effective approximation of heat flow evolution of the Riemann $\xi$ function, and a new upper bound for the de Bruijn-Newman constant
- The honeycomb model of the Berenstein-Zelevinsky polytope I. Klyachko's saturation conjecture
- Some remarks on the lonely runner conjecture
- POLYNOMIAL UPPER BOUNDS FOR THE ORBITAL INSTABILITY OF THE 1 D CUBIC NLS BELOW THE ENERGY
- Apiary views of the Berenstein-Zelevinsky polytope, and Klyachko's saturation conjecture
- The nonlinear Schr
- Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations
- Restriction and Kakeya Phenomena for Finite Field
- Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity
- A PHYSICAL SPACE PROOF OF THE BILINEAR STRICHARTZ AND LOCAL SMOOTHING ESTIMATES FOR THE SCHRÖDINGER EQUATION
- Exploring the toolkit of Jean Bourgain
- The high exponent limit p →∞ for the one-dimensional nonlinear wave equation
- Sendov's conjecture for sufficiently high degree polynomials.
- Global well-posedness of the Benjamin-Ono equation in H¹(R)
- Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle
- Zarankiewicz's problem for semilinear hypergraphs
- VALUE PATTERNS OF MULTIPLICATIVE FUNCTIONS AND RELATED SEQUENCES
- Bochner-Riesz Summability for analytic functions on the m-complex unit sphere and for cylindrically symmetric functions on R^n-1 x R
- 2016 MATRIX Annals
- THE PROBABILITY THAT A RANDOM TRIPLE OF DICE IS TRANSITIVE
- THE IONESCU–WAINGER MULTIPLIER THEOREM AND THE ADELES
- Least singular value, circular law, and Lindeberg exchange
- Homogeneous length functions on groups
- On random plus/minus 1 matrices: Singularity and determinant
- Chains of large gaps between primes
- The $T(b)$ theorem and its variants
- The Mobius and Nilsequences Conjecture
- A SHARP BILINEAR RESTRICTION ESTIMATE FOR ELLIPTIC SURFACES
- The structure of locally compact groups
- Embedding the Heisenberg group into a bounded dimensional Euclidean space with optimal distortion
- Erratum to: Variants of the Selberg sieve, and bounded intervals containing many primes
- Analysis I: Third Edition
- On the bi-carleson operator I. The Walsh case
- Correction to: Fourier uniformity of bounded multiplicative functions in short intervals on average
- Additive Combinatorics: The Littlewood–Offord problem
- Commutators close to the identity
- Symplectic nonsqueezing of the KdV flow
- Homogeneous length functions on groups
- Multiple recurrence and convergence results associated to $${\text{F}}_P^\omega $$-actions
- Notes on symplectic non-squeezing of the KdV flow
- AND REGULARIZING EFFECTS IN QUASILINEAR PDES
- Several Variable Differential Calculus
- Polynomial bounds via nonstandard analysis
- DENSITY HALES-JEWETT AND MOSER NUMBERS IN LOW DIMENSIONS
- LECTURE NOTES 6 FOR 247B
- The effective potential of an M-matrix
- 2017 MATRIX Annals
- LECTURE NOTES 2 FOR 247A
- Polymath and Small Gaps Between Primes
- 1/3 Bounded gaps between primes Download
- LECTURE NOTES 4 FOR 247A
- 1 Arithmetic progressions in primes I after
- Multiple recurrence and convergence results associated to $\mathbb{F}_{p}^ω$-actions
- Szemerédi’s proof of Szemerédi’s theorem
- Sumfree sets in groups
- LECTURE NOTES 8 FOR 247B
- Analysis and applications: The mathematical work of Elias Stein
- On the number of solutions to $\frac{4}{p}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$
- Ado’s theorem
- PUZZLES AND ( EQUIVARIANT )
- Additive Combinatorics: Prologue
- Simply-laced isomonodromy systems . On the functions counting walks with small steps in the quarter plane . The structure of approximate groups . On stably free modules over affine algebras . Perfectoid spaces
- Analysis II: Third Edition
- A variation norm Carleson theorem
- LECTURE NOTES 7 FOR 247B
- The real numbers
- A ug 2 00 7 RANDOM MATRICES : THE CIRCULAR LAW
- DISCREPANCY THEOREMS AND REPRESENTING DIAGONAL MATRICES
- A remark on circular means of Fourier transforms of measures
- Book Reviews
- Building Lie structure from representations and metrics
- Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula
- BOOK REVIEWS
- OF A DOUBLEROTOR DOUBLEROTOR DOUBLEROTOR MICRO FLYING ROBOT
- ON ZHANG ’ S PRIME GAPS PAPER
- Tao, Terence - University of California, Los Angeles
- Non-concentration in subgroups
- Tools from harmonic analysis
- Additive Combinatorics: Long arithmetic progressions in sum sets
- The Riemann Integral
- III.18 Distributions
- HARMONIC ANALYSIS
- Differentiation of functions
- III.29 Function Spaces
- A variation norm Carleson theorem
- FUNCTION SPACES
- Construction of ground states
- L2 Bounds for Normal Derivatives of Dirichlet Eigenfunctions
- Ju l 2 00 8 GLOBAL EXISTENCE AND UNIQUENESS RESULTS FOR WEAK SOLUTIONS OF THE FOCUSING MASS-CRITICAL NON-LINEAR SCHRÖDINGER EQUATION
- Applications of the structural theory of approximate groups
- Multiple recurrence and convergence results associated to $\mathbb{F}_{p}^{\omega}$-actions
- Fourier Transform
- Lectures in additive prime number theory
- Information theory, relative versions of the hypergraph regularity and removal lemmas, the Szemer\'edi-Furstenberg-Katznelson theorem, and prime constellations in number fields
- Associativity of the Baker-Campbell-Hausdorff-Dynkin law
- Additive Combinatorics: Incidence geometry
- THE T (b) THEOREM AND ITS VARIANTS
- Additive Combinatorics: The probabilistic method
- LECTURE NOTES 1 FOR 247A
- Notes on Lie algebras
- III.9 Compactness and Compactification
- C A ] 9 D ec 2 00 9 RANDOM MARTINGALES AND LOCALIZATION OF MAXIMAL INEQUALITIES
- N T ] 4 J un 2 00 6 QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION
- On a problem by Arens, Goldberg, and Luxemburg
- The Korteweg de Vries equation
- A remark on primality testing and the binary expansion
- A variation norm Carleson theorem
- Semilinear dispersive equations
- Expander graphs: Basic theory
- SYMPLECTIC NON-SQUEEZING OF THE KDV FLOW
- 2 2 Se p 20 07 QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION
- Book Review: Concentration compactness for critical wave maps
- An Invitation to Mathematics-ReadingSample
- Quantitative bounds for Gowers uniformity of the M\"obius and von Mangoldt functions
- Additive Combinatorics: Algebraic methods
- Erratum
- Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory
- Book Review: Polynomial methods in combinatorics
- Limits of sequences
- Two notes on Lie groups
- Additive Combinatorics: Inverse sum set theorems
- Additive Combinatorics: Bibliography
- Sieving and expanders
- The Balog-Szemerédi-Gowers lemma, and the Bourgain-Gamburd expansion machine
- The microscopic structure of approximate groups
- Continuous functions on metric spaces
- Starting at the beginning: The natural numbers
- The Hilbert-Smith conjecture
- THE THEORY OF NONLINEAR SCHRÖDINGER
- Deterministic methods to find primes
- Logic and foundations
- Models of ultra approximate groups
- The Averaging lemma and regularizing effect
- C A ] 1 3 D ec 1 99 9 SHARP LORENTZ SPACE ESTIMATES FOR ROUGH OPERATORS
- Additive Combinatorics: Szemerédi' theorem for k = 3
- A COUNTEREXAMPLE TO AN ENDPOINT BILINEAR
- III.35 Hamiltonians
- En:primes in Arithmetic Progression#largest Known Primes in ap
- Fe b 19 99 THE HONEYCOMB MODEL OF GL n ( C ) TENSOR PRODUCTS I : PROOF OF THE SATURATION
- III.27 The Fourier Transform
- The Peter-Weyl theorem and nonabelian Fourier analysis
- Continuous functions on R
- Cayley graphs the algebra of groups
- Seven days: 20–26 January 2012
- ENDPOINT STRICHARTZ ESTIMATESMARKUS KEEL
- Long gaps in sieved sets
- Upper bounds for the k = 3 Moser problem in small dimensions
- BOUNDS FOR NORMAL DERIVATIVES OF DIRICHLET EIGENFUNCTIONS
- Building metrics on groups, and the Gleason-Yamabe theorem
- Expansion in Cayley graphs, and Kazhdan’s property (T)
- Product theorems, pivot arguments, and the Larsen-Pink non-concentration inequality
- Varieties of general type with many vanishing plurigenera, and optimal sine and sawtooth inequalities
- Integers and Rationals
- COMBINATORIAL AND ERGODIC APPROACHES TO SZEMERÉDI 3 where
- LECTURE NOTES 5 FOR 247A
- LECTURE NOTES 9 FOR 247B
- Orbital Instability Bounds for the Non-linear Schr¨odinger Equation below the Energy Norm
- Constant coefficient linear dispersive equations
- Three regularity results in harmonic analysis
- Additive Combinatorics: Additive geometry
- The high exponent limit $p \to \infty$ for the one-dimensional nonlinear wave equation
- Nilpotent groups and nilprogressions
- An inverse theorem for the Kemperman inequality
- Jean Bourgain, problem solver
- Central extensions of Lie groups, and cocycle averaging
- Clay Research Conference
- Additive Combinatorics: Fourier-analytic methods
- The Poincaré conjecture
- Loeb measure and the triangle removal lemma
- C A ] 1 4 M ay 2 00 2 ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS
- IV.11 Harmonic Analysis
- The spectral theorem and its converses for unbounded self-adjoint operators
- ENDPOINT STRICHARTZ ESTIMATES By MARKUS KEEL and TERENCE TAO
- LECTURE NOTES 10 FOR 247B
- Haar measure, the Peter-Weyl theorem, and compact or abelian groups
- The Mathematics of Cathleen Synge Morawetz
- III.16 Differential Forms and Integration
- Book Reviews.
- TERENCE TAO GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL HYPERDISSIPATIVE NAVIER–STOKES EQUATION
- The Saturation Conjecture (after A. Knutson and T. Tao)
- C A ] 1 4 M ay 2 00 2 POINTWISE CONVERGENCE OF LACUNARY SPHERICAL MEANS
- Additive Combinatorics: Sum set estimates
- Zero-Viscosity Limit of the Navier-Stokes Equations with the Navier Friction Boundary Condition
- Homogenization of iterated singular integrals with applications to random quasiconformal maps.
- ON THE PERMANENT OF A RANDOM BERNOULLI MATRIX
- Notes on groups of Lie type
- Book Review: Combinatorics and random matrix theory; Dynamical approach to random matrix theory
- LECTURE NOTES 3 FOR 247A
- Title A Finitary Version of Gromov ’ s Polynomial Growth Theorem Permalink
- III.83 The Schrödinger Equation
- The Jordan-Schur theorem
- Singmaster's conjecture in the interior of Pascal's triangle
- The structure of translational tilings in $\mathbb{Z}^d$
- Energy-critical semilinear dispersive equations

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