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Terence Tao

  1. What is good mathematics?
    2007/02/13 by Terence Tao, Tao, Terence · 8 voices · 1 citation
    #math.HO
  2. Almost all orbits of the Collatz map attain almost bounded values
    2019/09/08 by Terence Tao, Tao, Terence · 4 voices · 7 citations
    #math.PR #math.DS #math.NT
  3. Stable signal recovery from incomplete and inaccurate measurements
    2006/03/01 by Emmanuel J. Candès, Justin K. Romberg, Justin Romberg +1 · 261 citations
    Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods
  4. Mathematical methods and human thought in the age of AI
    2026/03/27 by Tanya Klowden, Terence Tao · 26 voices · 1 citation
    #math.HO
  5. Mathematical exploration and discovery at scale
    2025/11/03 by Bogdan Georgiev, Javier Gómez-Serrano, Georgiev, Bogdan +6 · 13 voices · 13 citations
    Computer Science · #Evolutionary Algorithms and Applications #Artificial Intelligence in Games #Mathematics, Computing, and Information Processing
  6. Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
    2019/08/10 by Peter B. Denton, Peter Denton, Stephen Parke +3 · 3 voices · 3 citations
    Computer Science · Mathematics · #Mathematical functions and polynomials #Matrix Theory and Algorithms #Tensor decomposition and applications #hep-ph #hep-th #math-ph #math.RA
  7. Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
    2004/09/10 by Emmanuel J. Candès, Justin Romberg, Candes, Emmanuel +3 · 77 citations
    Computer Science · Decision Sciences · Engineering · #94A08 (Secondary) #94A12 (Primary) #94A20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Sparse and Compressive Sensing Techniques
  8. The Erdos discrepancy problem
    2015/09/17 by Terence Tao · 1 voice · 5 citations
    #math.CO #math.NT
  9. Decoding by Linear Programming
    2005/02/15 by Emmanuel Candes, Candes, Emmanuel, Terence Tao +1 · 44 citations
    Computer Science · Mathematics · #94B05 #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #cs.CR #math.MG #msc:94B05
  10. Stable Signal Recovery from Incomplete and Inaccurate Measurements
    2005/03/03 by Emmanuel J. Candès, Candes, Emmanuel, Justin Romberg +3 · 35 citations
    Computer Science · Engineering · #41A45 #42A10 #94A12 #Blind Source Separation Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques
  11. Random matrices: Universality of local eigenvalue statistics
    2011/01/01 by Terence Tao, Van Vu · 37 citations
    Mathematics · #Random Matrices and Applications #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics
  12. The Power of Convex Relaxation: Near-Optimal Matrix Completion
    2009/03/09 by Emmanuel J. Candès, Terence Tao, Candes, Emmanuel J. +1 · 25 citations
    Engineering · Computer Science · #Sparse and Compressive Sensing Techniques #Distributed Sensor Networks and Detection Algorithms #Stochastic Gradient Optimization Techniques
  13. On the multilinear restriction and Kakeya conjectures
    2006/01/01 by Jonathan Bennett, Anthony Carbery, Terence Tao · 20 citations
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #advanced mathematical theories
  14. The Dantzig selector: Statistical estimation when p is much larger than n
    2005/06/05 by Emmanuel Candes, Emmanuel J. Candès, Terence Tao +2 · 16 citations
    Mathematics · Engineering · #Random Matrices and Applications #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference
  15. The primes contain arbitrarily long arithmetic progressions
    2004/04/08 by Ben Green, Green, Ben, Terence Tao +1 · 14 citations
    Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)
  16. Multilinear estimates for periodic KdV equations, and applications
    2003/09/12 by J. Colliander, M. Keel, G. Staffilani +5 · 18 citations
    Mathematics · Engineering · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Advanced Harmonic Analysis Research
  17. The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture
    1998/07/28 by Allen Knutson, Terence Tao, Knutson, Allen +1 · 10 citations
    Mathematics · #05E15 #15A42 #22E46 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CO #math.RA #math.RT #msc:05E15 #msc:15A42 #msc:22E46
  18. On a conjecture of Marton
    2023/11/09 by W. T. Gowers, Ben Green, Gowers, W. T. +5 · 2 voices · 18 citations
    #math.NT #math.CO
  19. Fuglede's conjecture is false in 5 and higher dimensions
    2003/06/08 by Terence Tao, Tao, Terence · 7 citations
    Mathematics · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Mathematical Analysis and Transform Methods #math.CA #math.CO #msc:20K01 #msc:42B99
  20. Ill-posedness for nonlinear Schrodinger and wave equations
    2003/11/04 by Michael Christ, James Colliander, Christ, Michael +3 · 7 citations
    Mathematics · #35L70 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L70 #msc:35Q55
  21. The structure of approximate groups
    2011/10/22 by Emmanuel Breuillard, Breuillard, Emmanuel, Ben Green +3 · 8 citations
    Mathematics · Computer Science · #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #Finite Group Theory Research
  22. An inverse theorem for the Gowers Us+1[N]-norm (announcement)
    2010/06/01 by Ben Green, Terence Tao, Green, Ben +3 · 8 citations
    Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)
  23. On the Multilinear Restriction and Kakeya conjectures
    2005/09/12 by Jonathan Bennett, Bennett, Jonathan, Anthony Carbery +3 · 5 citations
    Mathematics · #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B10
  24. Expansion in finite simple groups of Lie type
    2013/09/08 by Emmanuel Breuillard, Breuillard, Emmanuel, Ben Green +5 · 6 citations
    Mathematics · #20G40 #20N99 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Limits and Structures in Graph Theory
  25. Restriction theory of the Selberg sieve, with applications
    2004/05/30 by Ben Green, Terence Tao, Green, Ben +1 · 5 citations
    Mathematics · #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.CA #math.NT
  26. Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
    2002/03/05 by Michael Christ, James Colliander, Christ, Michael +3 · 4 citations
    Mathematics · #35Q53 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q53 #msc:35Q55
  27. An inverse theorem for the Gowers U3 norm
    2005/03/01 by Ben Green, Green, Ben, Terence Tao +1 · 5 citations
    Mathematics · #Limits and Structures in Graph Theory #Graph theory and applications #Analytic Number Theory Research
  28. An arithmetic regularity lemma, associated counting lemma, and applications
    2010/02/10 by Ben Green, Terence Tao, Green, Ben +1 · 4 citations
    Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Complexity and Algorithms in Graphs #Limits and Structures in Graph Theory
  29. Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
    2009/06/17 by Terence Tao, Tao, Terence · 4 citations
    Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations
  30. Some remarks on the lonely runner conjecture
    2017/01/09 by Terence Tao, Tao, Terence · 5 citations
    Mathematics · Engineering · #Analytic Number Theory Research #Limits and Structures in Graph Theory #graph theory and CDMA systems
  31. Linear Equations in Primes
    2006/06/04 by Ben Green, Terence Tao, Green, Ben +1 · 5 citations
    Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)
  32. A bilinear approach to the restriction and Kakeya conjectures
    1998/07/29 by Terence Tao, Tao, Terence, Ana Vargas +3 · 3 citations
    Mathematics · #42B10 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B10 #msc:42B25
  33. An improved bound on the Minkowski dimension of Besicovitch sets in R3
    1999/03/31 by Nets Hawk Katz, Izabella Łaba, Terence Tao · 3 citations
    Mathematics · #math.CA #msc:42B15
  34. Multilinear weighted convolution of L2 functions, and applications to non-linear dispersive equations
    2000/05/31 by Terence Tao · 3 citations
    Mathematics · #math.AP #msc:35G25 #msc:42B35 #msc:35L70 #msc:35Q53 #msc:35Q55
  35. New bounds on Kakeya problems
    2001/02/16 by Nets Katz, Terence Tao, Katz, Nets +1 · 4 citations
    Mathematics · #0B540 #28A78 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #math.CA #math.CO #msc:0B540 #msc:28A78
  36. Local universality of zeroes of random polynomials
    2013/07/16 by Terence Tao, Tao, Terence, Van Vu +1 · 4 citations
    Mathematics · #Random Matrices and Applications #Geometry and complex manifolds #Advanced Algebra and Geometry
  37. An uncertainty principle for cyclic groups of prime order
    2003/08/29 by Terence Tao, Tao, Terence · 3 citations
    Mathematics · #Algebraic and Geometric Analysis #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #math.CA #math.NT #msc:42A99
  38. Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data
    2004/02/09 by Terence Tao, Tao, Terence · 3 citations
    Mathematics · Medicine · Physics and Astronomy · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Soft tissue tumor case studies #math.AP #msc:35Q55
  39. Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
    2005/05/31 by Jonathan Bennett, Anthony Carbery, Bennett, Jonathan +5 · 3 citations
    Mathematics · #Analytic and geometric function theory #Mathematical Approximation and Integration #Mathematical Inequalities and Applications #math.CA #msc:26D20 #msc:44A35
  40. A variation norm Carleson theorem
    2009/10/08 by Richard Oberlin, Andreas Seeger, Oberlin, Richard +7 · 5 citations
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods
  41. New bounds for Szemerédi's theorem, III: A polylogarithmic bound for r4(N)
    2017/05/04 by Ben Green, Terence Tao, Green, Ben +1 · 4 citations
    Mathematics · Engineering · #Limits and Structures in Graph Theory #Analytic Number Theory Research #graph theory and CDMA systems
  42. The De Bruijn-Newman constant is non-negative
    2018/01/18 by Brad Rodgers, Terence Tao, Rodgers, Brad +1 · 3 citations
    Mathematics · #Analytic Number Theory Research #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods
  43. Some connections between Falconer's distance set conjecture, and sets of Furstenburg type
    2001/01/23 by Nets Hawk Katz, Terence Tao, Katz, Nets Hawk +1 · 2 citations
    Computer Science · Mathematics · #05B99 #28A75 #28A78 #Advanced Graph Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #math.CA #math.CO #msc:05B99 #msc:28A75 #msc:28A78
  44. A sharp bilinear restriction estimate for paraboloids
    2002/10/07 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · #35Q55 #42B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:35Q55 #msc:42B15
  45. A singularity removal theorem for Yang-Mills fields in higher dimensions
    2002/09/25 by Terence Tao, Gang Tian, Tao, Terence +1 · 2 citations
    Mathematics · #53C07 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG #msc:53C07
  46. Some recent progress on the Restriction conjecture
    2003/03/12 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B10
  47. On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation
    2003/09/26 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q55
  48. Random symmetric matrices are almost surely non-singular
    2005/05/09 by Kevin Costello, Costello, Kevin, Terence Tao +3 · 2 citations
    Mathematics · #15A52 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:15A52
  49. Norm convergence of multiple ergodic averages for commuting transformations
    2007/07/08 by Terence Tao, Tao, Terence · 2 citations
    Engineering · Mathematics · #37A30 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory #graph theory and CDMA systems
  50. Large values of the Gowers-Host-Kra seminorms
    2010/12/16 by Tanja Eisner, Eisner, Tanja, Terence Tao +1 · 2 citations
    Mathematics · #11B30 #37A45 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory
  51. Random matrices: The Universality phenomenon for Wigner ensembles
    2012/02/01 by Terence Tao, Tao, Terence, Van Vu +1 · 2 citations
    Mathematics · #15A52 #Advanced Algebra and Geometry #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Spectral Theory in Mathematical Physics
  52. Global regularity of wave maps III. Large energy from \R1+2 to hyperbolic spaces
    2008/05/30 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · Physics and Astronomy · #35L70 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
  53. On Sets Defining Few Ordinary Lines
    2013/06/27 by Ben Green, Terence Tao · 2 citations
  54. Random matrices: tail bounds for gaps between eigenvalues
    2015/04/01 by Hoi H. Nguyen, Nguyen, Hoi, Terence Tao +3 · 3 citations
    Mathematics · #Advanced Algebra and Geometry #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Probability (math.PR) #Random Matrices and Applications
  55. Recent progress on the Kakeya conjecture
    2000/10/07 by Nets Hawk Katz, Nets Katz, Terence Tao +2 · 2 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Harmonic Analysis Research #math.CA #msc:05C35 #msc:42B25
  56. Undecidability of translational monotilings
    2023/09/18 by Rachel Greenfeld, Greenfeld, Rachel, Terence Tao +1 · 1 voice · 4 citations
    Computer Science · #Cellular Automata and Applications #semigroups and automata theory #Computability, Logic, AI Algorithms
  57. Suzuki groups as expanders
    2010/05/05 by Emmanuel Breuillard, Breuillard, Emmanuel, Ben Green +3 · 3 citations
    Mathematics · Computer Science · #Finite Group Theory Research #Geometric and Algebraic Topology #Coding theory and cryptography
  58. A counterexample to the periodic tiling conjecture (announcement)
    2022/09/18 by Rachel Greenfeld, Terence Tao, Greenfeld, Rachel +1 · 4 citations
    Materials Science · Mathematics · Computer Science · #Quasicrystal Structures and Properties #Mathematical Dynamics and Fractals #Cellular Automata and Applications
  59. Exploring the toolkit of Jean Bourgain
    2020/09/14 by Terence Tao, Tao, Terence · 2 citations
    Computer Science · Mathematics · #42-02 #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #Topological and Geometric Data Analysis
  60. Rough numbers between consecutive primes
    2025/08/08 by Ayla Gafni, Terence Tao, Gafni, Ayla +1 · 1 voice
    Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Advanced Topology and Set Theory #Rough Sets and Fuzzy Logic
  61. The sum-product phenomenon in arbitrary rings
    2008/06/16 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · #Limits and Structures in Graph Theory #Advanced Topology and Set Theory #Rings, Modules, and Algebras
  62. The weak-type (1,1) of L log L homogeneous convolution operators
    1999/03/29 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20
  63. An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension
    2000/04/04 by Izabella Łaba, Izabella Laba, Terence Tao +2 · 1 citation
    Computer Science · Mathematics · #42B25 #Advanced Graph Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #math.CA #msc:42B25
  64. From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE
    2000/08/14 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · #35L #42B #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA #msc:35L #msc:42B
  65. Carleson measures, trees, extrapolation, and T(b) theorems
    2001/08/21 by Pascal Auscher, Auscher, Pascal, Steve Hofmann +7 · 1 citation
    Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20
  66. Lp improving bounds for averages along curves
    2001/08/21 by Terence Tao, Jim Wright, Tao, Terence +1 · 1 citation
    Mathematics · #42B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B15
  67. The weak-type (1,1) of Fourier integral operators of order -(n-1)/2
    2002/01/23 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20
  68. Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
    2002/02/15 by Andrew Hassell, Terence Tao, Hassell, Andrew +1 · 1 citation
    Mathematics · #35Pxx #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Spectral Theory (math.SP) #math.AP #math.SP #msc:35Pxx
  69. On multilinear oscillatory integrals, nonsingular and singular
    2003/11/04 by Michael Christ, Xiaochun Li, Christ, Michael +5 · 1 citation
    Mathematics · #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B10
  70. Global well-posedness of the Benjamin-Ono equation in H1(R)
    2003/07/31 by Terence Tao · 1 citation
    Mathematics · #math.AP #msc:35Q53
  71. Recent progress on the restriction conjecture
    2003/11/12 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B10
  72. A quantitative ergodic theory proof of Szemerédi's theorem
    2004/05/13 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · #11B25 #37A45 #Advanced Topology and Set Theory #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #math.CO #math.DS #msc:11B25 #msc:37A45
  73. Multi-parameter paraproducts
    2004/11/27 by Camil Muscalu, Muscalu, Camil, Jill Pipher +5 · 1 citation
    Mathematics · #42B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B15
  74. The dichotomy between structure and randomness, arithmetic progressions, and the primes
    2005/12/06 by Terence Tao, Tao, Terence · 1 citation
    Computer Science · Mathematics · #05C65 #05C75 #11P32 #37A45 #42A99 #Analytic Number Theory Research #FOS: Mathematics #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #Number Theory (math.NT)
  75. A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential
    2008/05/11 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · Physics and Astronomy · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
  76. Freiman's theorem for solvable groups
    2009/06/18 by Terence Tao, Tao, Terence · 1 citation
    Computer Science · Mathematics · #05B10 #Advanced Graph Theory Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Limits and Structures in Graph Theory
  77. Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem
    2010/03/21 by Assaf Naor, Terence Tao, Naor, Assaf +1 · 1 citation
    Computer Science · Mathematics · #46B85 #Complexity and Algorithms in Graphs #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Metric Geometry (math.MG) #Random Matrices and Applications
  78. Effective limiting absorption principles, and applications
    2011/05/04 by Igor Rodnianski, Terence Tao, Rodnianski, Igor +1 · 1 citation
    Mathematics · #35J10 #35L05 #35Q41 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
  79. A Maclaurin type inequality
    2023/10/09 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematics and Applications
  80. Sign patterns of the Liouville and Möbius functions
    2015/09/04 by Kaisa Matomäki, Maksym Radziwiłł, Matomäki, Kaisa +3 · 1 citation
    Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  81. Embedding the Heisenberg group into a bounded dimensional Euclidean space with optimal distortion
    2018/11/22 by Terence Tao, Tao, Terence · 1 citation
    Computer Science · Mathematics · #30L05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations
  82. Localisation and compactness properties of the Navier-Stokes global regularity problem
    2011/08/04 by Terence Tao, Tao, Terence · 2 citations
    Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations
  83. Pointwise ergodic theorems for non-conventional bilinear polynomial averages
    2020/08/03 by Ben Krause, Krause, Ben, Mariusz Mirek +3 · 2 citations
    Mathematics · #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration
  84. The inverse theorem for the U3 Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches
    2021/12/27 by Asgar Jamneshan, Terence Tao, Jamneshan, Asgar +1 · 1 citation
    Mathematics · #11B30 #28E05 #37A15 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Markov Chains and Monte Carlo Methods
  85. Perfectly packing a square by squares of nearly harmonic sidelength
    2022/02/08 by Terence Tao, Tao, Terence · 1 citation
    Materials Science · Mathematics · #52C15 #FOS: Mathematics #Mathematical Approximation and Integration #Metric Geometry (math.MG) #Point processes and geometric inequalities #Quasicrystal Structures and Properties
  86. On the quantitative distribution of polynomial nilsequences - erratum
    2013/11/24 by Ben Green, Green, Ben, Terence Tao +1 · 1 citation
    Computer Science · Mathematics · #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)
  87. The asymptotic distribution of a single eigenvalue gap of a Wigner matrix
    2012/03/07 by Terence Tao, Tao, Terence · 1 citation
    Mathematics · #Random Matrices and Applications #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics
  88. A lower bound on the mean value of the Erdős-Hooley Delta function
    2023/08/23 by Kevin R. Ford, Ford, Kevin, Dimitris Koukoulopoulos +3 · 1 citation
    Mathematics · #Limits and Structures in Graph Theory
  89. Dense sets of natural numbers with unusually large least common multiples
    2024/07/05 by Terence Tao, Tao, Terence · 1 citation
    Computer Science · Mathematics · #11N56 #Analytic Number Theory Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  90. Sharp Strichartz estimates on non-trapping asymptotically conic\n manifolds
    2004/08/20 by Andrew Hassell, Terence Tao, Hassell, Andrew +3 · 1 citation
    Mathematics · #35Q55 #58J40 #81Q05 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
  91. On the testability and repair of hereditary hypergraph properties
    2008/01/14 by Tim Austin, Austin, Tim, Terence Tao +1 · 1 citation
    Computer Science · Mathematics · #05C65 #60C05 #68R10 #Advanced Graph Theory Research #Combinatorics (math.CO) #Complexity and Algorithms in Graphs #FOS: Mathematics #Limits and Structures in Graph Theory
  92. An inverse theorem for the Gowers Us+1[N]-norm
    2010/09/21 by Ben Green, Terence Tao, Green, Ben +3 · 1 citation
    Engineering · Mathematics · #11B30 #Analytic Number Theory Research #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #graph theory and CDMA systems