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Terence Tao

Identifiers

  • name variant Terence Tao 0.60 · backfill

Papers (200)

  1. Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond math.NT · 2026 · author #8
  2. Products of consecutive integers with unusual anatomy math.NT · 2026 · author #1
  3. Local Bernstein theory, and lower bounds for Lebesgue constants math.CA · 2026 · author #1
  4. Quantitative correlations and some problems on prime factors of consecutive integers math.NT · 2025 · author #1
  5. Mathematical exploration and discovery at scale cs.NE · 2025 · author #3
  6. On the number of exceptional intervals to the prime number theorem in short intervals math.NT · 2025 · author #2
  7. Decomposing a factorial into large factors math.NT · 2025 · author #5
  8. Sumsets and entropy revisited math.NT · 2023 · author #3
  9. On the universality of the incompressible Euler equation on compact manifolds, II. Non-rigidity of Euler flows math.AP · 2019 · author #1
  10. Fourier uniformity of bounded multiplicative functions in short intervals on average math.NT · 2018 · author #3
  11. Embedding the Heisenberg group into a bounded dimensional Euclidean space with optimal distortion math.AP · 2018 · author #1
  12. Commutators close to the identity math.OA · 2018 · author #1
  13. An inverse theorem for an inequality of Kneser math.CO · 2017 · author #1
  14. Odd order cases of the logarithmically averaged Chowla conjecture math.NT · 2017 · author #1
  15. On the universality of the incompressible Euler equation on compact manifolds math.AP · 2017 · author #1
  16. Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges math.NT · 2017 · author #3
  17. New bounds for Szemer\'edi's theorem, III: A polylogarithmic bound for $r_4(N)$ math.CO · 2017 · author #2
  18. A bound on partitioning clusters math.CO · 2017 · author #2
  19. Some remarks on the lonely runner conjecture math.CO · 2017 · author #1
  20. Finite time blowup for a supercritical defocusing nonlinear Schr\"odinger system math.AP · 2016 · author #1
  21. An integration approach to the Toeplitz square peg problem math.GN · 2016 · author #1
  22. Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation math.AP · 2016 · author #1
  23. Equivalence of the logarithmically averaged Chowla and Sarnak conjectures math.NT · 2016 · author #1
  24. Polynomial patterns in the primes math.NT · 2016 · author #1
  25. Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors math.CO · 2016 · author #1
  26. Sumfree sets in groups: a survey math.CO · 2016 · author #1
  27. Sum-avoiding sets in groups math.CO · 2016 · author #1
  28. Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity math.AP · 2016 · author #1
  29. Finite time blowup for a supercritical defocusing nonlinear wave system math.AP · 2016 · author #1
  30. The logarithmically averaged Chowla and Elliott conjectures for two-point correlations math.NT · 2015 · author #1
  31. The Erdos discrepancy problem math.CO · 2015 · author #1
  32. Sign patterns of the Liouville and M\"obius functions math.NT · 2015 · author #3
  33. Inverse theorems for sets and measures of polynomial growth math.CO · 2015 · author #1
  34. Cancellation for the multilinear Hilbert transform math.CA · 2015 · author #1
  35. Failure of the $L^1$ pointwise and maximal ergodic theorems for the free group math.DS · 2015 · author #1
  36. Random matrices: tail bounds for gaps between eigenvalues math.PR · 2015 · author #2
  37. Random matrices have simple spectrum math.PR · 2014 · author #1
  38. The Elliott-Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture math.NT · 2014 · author #1
  39. Narrow progressions in the primes math.NT · 2014 · author #1
  40. Large gaps between consecutive prime numbers math.NT · 2014 · author #4
  41. Finite time blowup for an averaged three-dimensional Navier-Stokes equation math.AP · 2014 · author #1
  42. On the quantitative distribution of polynomial nilsequences - erratum math.NT · 2013 · author #2
  43. Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory math.CO · 2013 · author #1
  44. Expansion in finite simple groups of Lie type math.GR · 2013 · author #4
  45. Local universality of zeroes of random polynomials math.PR · 2013 · author #1
  46. A multi-dimensional Szemer\'edi theorem for the primes via a correspondence principle math.NT · 2013 · author #1
  47. Multiple recurrence and convergence results associated to $\mathbb{F}_{p}^{\omega}$-actions math.DS · 2013 · author #2
  48. Small doubling in groups math.NT · 2013 · author #3
  49. Mixing for progressions in non-abelian groups math.CO · 2012 · author #1
  50. Multiple recurrence in quasirandom groups math.DS · 2012 · author #2
  51. Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets math.CO · 2012 · author #1
  52. On sets defining few ordinary lines math.CO · 2012 · author #2
  53. New bounds for Szemeredi's theorem, Ia: Progressions of length 4 in finite field geometries revisited math.NT · 2012 · author #2
  54. The asymptotic distribution of a single eigenvalue gap of a Wigner matrix math.PR · 2012 · author #1
  55. Random matrices: The Universality phenomenon for Wigner ensembles math.PR · 2012 · author #1
  56. Every odd number greater than 1 is the sum of at most five primes math.NT · 2012 · author #1
  57. Nonlinear Fourier Analysis math.CA · 2012 · author #1
  58. Random matrices: Sharp concentration of eigenvalues math.PR · 2012 · author #1
  59. A nilpotent Freiman dimension lemma math.CO · 2011 · author #3
  60. Random matrices: The Four Moment Theorem for Wigner ensembles math.PR · 2011 · author #1
  61. A central limit theorem for the determinant of a Wigner matrix math.PR · 2011 · author #1
  62. The structure of approximate groups math.GR · 2011 · author #3
  63. Localisation and compactness properties of the Navier-Stokes global regularity problem math.AP · 2011 · author #1
  64. Counting the number of solutions to the Erdos-Straus equation on unit fractions math.NT · 2011 · author #2
  65. Noncommutative sets of small doubling math.CO · 2011 · author #1
  66. Effective limiting absorption principles, and applications math.AP · 2011 · author #2
  67. An incidence theorem in higher dimensions math.CO · 2011 · author #2
  68. Random matrices: Universal properties of eigenvectors math.PR · 2011 · author #1
  69. The Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices math.PR · 2011 · author #1
  70. A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups math.GR · 2011 · author #3
  71. The inverse conjecture for the Gowers norm over finite fields in low characteristic math.CO · 2011 · author #1
  72. Outliers in the spectrum of iid matrices with bounded rank perturbations math.PR · 2010 · author #1
  73. Large values of the Gowers-Host-Kra seminorms math.CO · 2010 · author #2
  74. Asymptotic decay for a one-dimensional nonlinear wave equation math.AP · 2010 · author #2
  75. Strongly dense free subgroups of semisimple algebraic groups math.GR · 2010 · author #4
  76. An inverse theorem for the Gowers U^{s+1}[N]-norm math.CO · 2010 · author #2
  77. An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement) math.NT · 2010 · author #2
  78. Random matrices: Localization of the eigenvalues and the necessity of four moments math.PR · 2010 · author #1
  79. Approximate subgroups of linear groups math.GR · 2010 · author #3
  80. Suzuki groups as expanders math.GR · 2010 · author #3
  81. Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem math.MG · 2010 · author #2
  82. The Littlewood-Offord problem in high dimensions and a conjecture of Frankl and F\"uredi math.CO · 2010 · author #1
  83. Yet another proof of Szemeredi's theorem math.NT · 2010 · author #2
  84. Linear Approximate Groups math.GR · 2010 · author #3
  85. Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems math.OA · 2009 · author #3
  86. Random covariance matrices: Universality of local statistics of eigenvalues math.SP · 2009 · author #1
  87. Random Martingales and localization of maximal inequalities math.CA · 2009 · author #2
  88. An inverse theorem for the Gowers U^4 norm math.NT · 2009 · author #2
  89. A finitary version of Gromov's polynomial growth theorem math.GR · 2009 · author #2
  90. Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm math.AP · 2009 · author #3
  91. A variation norm Carleson theorem math.CA · 2009 · author #3
  92. A remark on partial sums involving the Mobius function math.NT · 2009 · author #1
  93. Random matrices: Universality of local eigenvalue statistics up to the edge math.PR · 2009 · author #1
  94. Global regularity of wave maps VII. Control of delocalised or dispersed solutions math.AP · 2009 · author #1
  95. Operator splitting for the KdV equation math.AP · 2009 · author #4
  96. Bulk universality for Wigner hermitian matrices with subexponential decay math.PR · 2009 · author #4
  97. Freiman's theorem for solvable groups math.CO · 2009 · author #1
  98. An equivalence between inverse sumset theorems and inverse conjectures for the U^3 norm math.NT · 2009 · author #2
  99. Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation math.AP · 2009 · author #1
  100. Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions math.AP · 2009 · author #1
  101. Random matrices: Universality of local eigenvalue statistics math.PR · 2009 · author #1
  102. An inverse theorem for the bilinear $L^2$ Strichartz estimate for the wave equation math.AP · 2009 · author #1
  103. The Kakeya set and maximal conjectures for algebraic varieties over finite fields math.CO · 2009 · author #3
  104. The Power of Convex Relaxation: Near-Optimal Matrix Completion cs.IT · 2009 · author #2
  105. Random matrices: The distribution of the smallest singular values math.PR · 2009 · author #1
  106. A sharp inverse Littlewood-Offord theorem math.CO · 2009 · author #1
  107. The high exponent limit $p \to \infty$ for the one-dimensional nonlinear wave equation math.AP · 2009 · author #1
  108. An inverse theorem for the uniformity seminorms associated with the action of $F^\omega$ math.DS · 2009 · author #2
  109. The inverse conjecture for the Gowers norm over finite fields via the correspondence principle math.CO · 2008 · author #1
  110. From the Littlewood-Offord problem to the Circular Law: universality of the spectral distribution of random matrices math.PR · 2008 · author #1
  111. Global regularity of wave maps V. Large data local wellposedness and perturbation theory in the energy class math.AP · 2008 · author #1
  112. Random matrices: Universality of ESDs and the circular law math.PR · 2008 · author #1
  113. Global existence and uniqueness results for weak solutions of the focusing mass-critical non-linear Schr\"odinger equation math.AP · 2008 · author #1
  114. Classification of Almost Quarter-Pinched Manifolds math.DG · 2008 · author #2
  115. The Mobius function is strongly orthogonal to nilsequences math.NT · 2008 · author #2
  116. Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class math.AP · 2008 · author #1
  117. The sum-product phenomenon in arbitrary rings math.CO · 2008 · author #1
  118. Global regularity of wave maps III. Large energy from $\R^{1+2}$ to hyperbolic spaces math.AP · 2008 · author #1
  119. Smooth analysis of the condition number and the least singular value math.PR · 2008 · author #1
  120. A global compact attractor for high-dimensional defocusing non-linear Schr\"odinger equations with potential math.AP · 2008 · author #1
  121. Rejoinder: The Dantzig selector: Statistical estimation when $p$ is much larger than $n$ math.ST · 2008 · author #2
  122. A remark on primality testing and decimal expansions math.NT · 2008 · author #1
  123. Why are solitons stable? math.AP · 2008 · author #1
  124. On the testability and repair of hereditary hypergraph properties math.CO · 2008 · author #2
  125. Multi-linear multipliers associated to simplexes of arbitrary length math.CA · 2007 · author #2
  126. The Walsh model for $M_2^{*}$ Carleson math.CA · 2007 · author #3
  127. The distribution of polynomials over finite fields, with applications to the Gowers norms math.CO · 2007 · author #2
  128. A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation math.AP · 2007 · author #1
  129. The quantitative behaviour of polynomial orbits on nilmanifolds math.NT · 2007 · author #2
  130. Random Matrices: The circular Law math.PR · 2007 · author #1
  131. Structure and randomness in combinatorics math.CO · 2007 · author #1
  132. The cubic nonlinear Schr\"odinger equation in two dimensions with radial data math.AP · 2007 · author #2
  133. Norm convergence of multiple ergodic averages for commuting transformations math.DS · 2007 · author #1
  134. A quantitative version of the Besicovitch projection theorem via multiscale analysis math.CA · 2007 · author #1
  135. Freiman's theorem in finite fields via extremal set theory math.CO · 2007 · author #2
  136. The condition number of a randomly perturbed matrix math.PR · 2007 · author #1
  137. What is good mathematics? math.HO · 2007 · author #1
  138. A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields math.CO · 2007 · author #2
  139. John-type theorems for generalized arithmetic progressions and iterated sumsets math.CO · 2006 · author #1
  140. A priori bounds and weak solutions for the nonlinear Schr\"odinger equation in Sobolev spaces of negative order math.AP · 2006 · author #3
  141. A (concentration-)compact attractor for high-dimensional non-linear Schr\"odinger equations math.AP · 2006 · author #1
  142. Perelman's proof of the Poincar\'e conjecture: a nonlinear PDE perspective math.DG · 2006 · author #1
  143. The primes contain arbitrarily long polynomial progressions math.NT · 2006 · author #1
  144. A counterexample to an endpoint bilinear Strichartz inequality math.AP · 2006 · author #1
  145. Global well-posedness and scattering for the mass-critical nonlinear Schr\"odinger equation for radial data in high dimensions math.AP · 2006 · author #1
  146. Minimal-mass blowup solutions of the mass-critical NLS math.AP · 2006 · author #1
  147. Global behaviour of nonlinear dispersive and wave equations math.AP · 2006 · author #1
  148. A pseudoconformal compactification of the nonlinear Schr\"odinger equation and applications math.AP · 2006 · author #1
  149. Two remarks on the generalised Korteweg de-Vries equation math.AP · 2006 · author #1
  150. Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data math.AP · 2006 · author #1
  151. Linear Equations in Primes math.NT · 2006 · author #2
  152. Quadratic Uniformity of the Mobius Function math.NT · 2006 · author #2
  153. Scattering for the quartic generalised Korteweg-de Vries equation math.AP · 2006 · author #1
  154. The ergodic and combinatorial approaches to Szemer\'edi's theorem math.CO · 2006 · author #1
  155. A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal lemma math.CO · 2006 · author #1
  156. Breaking the duality in the return times theorem math.DS · 2006 · author #3
  157. Product set estimates for non-commutative groups math.CO · 2006 · author #1
  158. Spacetime bounds for the energy-critical nonlinear wave equation in three spatial dimensions math.AP · 2006 · author #1
  159. The dichotomy between structure and randomness, arithmetic progressions, and the primes math.NT · 2005 · author #1
  160. Inverse Littlewood-Offord theorems and the condition number of random discrete matrices math.PR · 2005 · author #1
  161. The nonlinear Schr\"odinger equation with combined power-type nonlinearities math.AP · 2005 · author #1
  162. Compressions, convex geometry and the Freiman-Bilu theorem math.NT · 2005 · author #2
  163. The Averaging lemma and regularizing effect math.AP · 2005 · author #2
  164. New bounds for Szemeredi's Theorem, I: Progressions of length 4 in finite field geometries math.CO · 2005 · author #2
  165. On the Multilinear Restriction and Kakeya conjectures math.CA · 2005 · author #3
  166. Sharp well-posedness and ill-posedness results for a quadratic non-linear Schr\"odinger equation math.AP · 2005 · author #2
  167. Stability of energy-critical nonlinear Schr\"odinger equations in high dimensions math.AP · 2005 · author #1
  168. The Dantzig selector: Statistical estimation when $p$ is much larger than $n$ math.ST · 2005 · author #2
  169. Finite bounds for Holder-Brascamp-Lieb multilinear inequalities math.CA · 2005 · author #4
  170. Obstructions to uniformity, and arithmetic patterns in the primes math.NT · 2005 · author #1
  171. Random symmetric matrices are almost surely non-singular math.PR · 2005 · author #2
  172. The Brascamp-Lieb inequalities: finiteness, structure, and extremals math.MG · 2005 · author #4
  173. Szemer\'edi's regularity lemma revisited math.CO · 2005 · author #1
  174. A variant of the hypergraph removal lemma math.CO · 2005 · author #1
  175. Stable Signal Recovery from Incomplete and Inaccurate Measurements math.NA · 2005 · author #3
  176. Decoding by Linear Programming math.MG · 2005 · author #2
  177. The Gaussian primes contain arbitrarily shaped constellations math.CO · 2005 · author #1
  178. On the singularity probability of random Bernoulli matrices math.CO · 2005 · author #1
  179. Long-time decay estimates for the Schr\"odinger equation on manifolds math.AP · 2004 · author #2
  180. Multi-parameter paraproducts math.CA · 2004 · author #3
  181. Geometric renormalization of large energy wave maps math.AP · 2004 · author #1
  182. Arithmetic progressions and the primes - El Escorial lectures math.NT · 2004 · author #1
  183. On random $\pm 1$ matrices: Singularity and Determinant math.CO · 2004 · author #1
  184. Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? math.CA · 2004 · author #2
  185. The Bi-Carleson operator math.CA · 2004 · author #2
  186. Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information math.NA · 2004 · author #3
  187. Sharp Strichartz estimates on non-trapping asymptotically conic manifolds math.AP · 2004 · author #2
  188. Restriction theory of the Selberg sieve, with applications math.NT · 2004 · author #2
  189. A quantitative ergodic theory proof of Szemer\'edi's theorem math.CO · 2004 · author #1
  190. The primes contain arbitrarily long arithmetic progressions math.NT · 2004 · author #2
  191. Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data math.AP · 2004 · author #1
  192. A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds math.AP · 2003 · author #2
  193. Recent progress on the restriction conjecture math.CA · 2003 · author #1
  194. Bi-parameter paraproducts math.CA · 2003 · author #3
  195. On the asymptotic behavior of large radial data for a focusing non-linear Schr\"odinger equation math.AP · 2003 · author #1
  196. Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions math.AP · 2003 · author #2
  197. An uncertainty principle for cyclic groups of prime order math.CA · 2003 · author #1
  198. Global well-posedness of the Benjamin-Ono equation in H^1(R) math.AP · 2003 · author #1
  199. A positive proof of the Littlewood-Richardson rule using the octahedron recurrence math.CO · 2003 · author #2
  200. Fuglede's conjecture is false in 5 and higher dimensions math.CO · 2003 · author #1

Mentions

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Frequent Coauthors