World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
119
Citations
97783
World Ranking
14
National Ranking
9

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2022 - Research.com Mathematics in United States Leader Award
  • 2021 - Jack S. Kilby Signal Processing Medal For groundbreaking contributions to compressed sensing.
  • 2013 - Fellow of the American Mathematical Society
  • 2010 - George Pólya Prize
  • 2009 - Fellow of the American Academy of Arts and Sciences
  • 2008 - National Science Foundation Alan T. Waterman Award Mathematics
  • 2008 - Member of the National Academy of Sciences
  • 2007 - Fellow of the Royal Society, United Kingdom
  • 2006 - Fields Medal of International Mathematical Union (IMU) For his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.
  • 2006 - Fellow of the MacArthur Foundation
  • 1999 - Fellow of Alfred P. Sloan Foundation

Overview

Terence Tao is affiliated with the University of California, Los Angeles in the United States. The primary field of study for Tao is Mathematics, with a total of 204 publications. Their research spans multiple subfields including Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Applied Mathematics.

The main research topics covered in their work include:

  • Analytic Number Theory Research
  • Limits and Structures in Graph Theory
  • Mathematical Dynamics and Fractals
  • Advanced Topology and Set Theory
  • Mathematical Approximation and Integration
  • Cellular Automata and Applications
  • Mathematics and Applications

Significant recent papers authored by Tao include:

  • "Almost all orbits of the Collatz map attain almost bounded values," 2022, Forum of Mathematics Pi
  • "Quantitative bounds for critically bounded solutions to the Navier-Stokes equations," 2021, Proceedings of Symposia in Pure Mathematics

Other notable papers in the dataset by related or coauthor researchers published in venues of interest are "THE DE BRUIJN-NEWMAN CONSTANT IS NON-NEGATIVE," 2020, Forum of Mathematics Pi and "Pointwise ergodic theorems for non-conventional bilinear polynomial averages," 2022, Annals of Mathematics.

Tao has collaborated frequently with numerous researchers. Frequent coauthors include:

  • T. W. Körner
  • Joni Teräväinen
  • Rachel Greenfeld

The scientist has published extensively in several venues, notably:

  • arXiv (Cornell University)
  • Notices of the American Mathematical Society
  • Annals of Mathematics
  • Journal of the European Mathematical Society
  • Forum of Mathematics Pi

Books published by Tao include:

  • "Analysis I" (2022) and "Analysis II" (2022), both with Texts and readings in mathematics
  • "Fourier Analysis" (2022), published by Cambridge University Press

Throughout their career, Tao has received multiple awards, including:

  • Fields Medal of International Mathematical Union (IMU), 2006, for contributions to partial differential equations, combinatorics, harmonic analysis, and additive number theory
  • Jack S. Kilby Signal Processing Medal, 2021, for groundbreaking contributions to compressed sensing
  • Fellow of the American Mathematical Society, 2013
  • George Pólya Prize, 2010
  • Fellow of the American Academy of Arts and Sciences, 2009
  • National Science Foundation Alan T. Waterman Award, 2008
  • Member of the National Academy of Sciences, 2008
  • Fellow of the Royal Society, United Kingdom, 2007
  • Fellow of the MacArthur Foundation, 2006
  • Fellow of Alfred P. Sloan Foundation, 1999

Best Publications

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

    E.J. Candes;J. Romberg;T. Tao

  • Decoding by linear programming

    E.J. Candes;T. Tao

  • Stable signal recovery from incomplete and inaccurate measurements

    Emmanuel J. Candès;Justin K. Romberg;Terence Tao

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

    E.J. Candes;T. Tao

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

    Emmanuel Candes;Terence Tao

  • The Power of Convex Relaxation: Near-Optimal Matrix Completion

    Emmanuel J Candes;Terence Tao

  • Endpoint Strichartz estimates

    Markus Aloysius Keel;Terence Tao

  • Nonlinear dispersive equations : local and global analysis

    Terence Tao

  • Topics in Random Matrix Theory

    Terence Tao

  • The primes contain arbitrarily long arithmetic progressions

    Benjamin Green;Terence Tao

  • Additive Combinatorics: Frontmatter

    Terence Tao;Van H. Vu

  • The honeycomb model of _{}(ℂ) tensor products I: Proof of the saturation conjecture

    Allen Knutson;Allen Knutson;Terence Tao

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

    J. Colliander;M. Keel;G. Staffilani;G. Staffilani;H. Takaoka;H. Takaoka

  • Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3

    James Colliander;Markus Keel;Gigliola Staffilani;Hideo Takaoka

  • An Introduction to Measure Theory

    Terence Tao

  • A SUM-PRODUCT ESTIMATE IN FINITE FIELDS, AND APPLICATIONS

    Jean Bourgain;Nets Katz;Terence Tao

  • Fuglede's conjecture is false in 5 and higher dimensions

    Terence Tao

  • Random matrices: Universality of ESDs and the circular law

    Terence Tao;Van H. Vu;Manjunath Krishnapur

  • Random matrices: Universality of local eigenvalue statistics

    Terence Tao;Van H. Vu

  • ASYMPTOTICS, FREQUENCY MODULATION, AND LOW REGULARITY ILL-POSEDNESS FOR CANONICAL DEFOCUSING EQUATIONS

    Michael Christ;James Colliander;Terrence Tao

Frequent Co-Authors

Ben Green
Ben Green University of Oxford
Van Vu
Van Vu Yale University
James Colliander
James Colliander University of British Columbia
Emmanuel J. Candès
Emmanuel J. Candès Stanford University
Monica Visan
Monica Visan University of California, Los Angeles
Michael Christ
Michael Christ University of California, Berkeley
Andreas Seeger
Andreas Seeger University of Wisconsin–Madison
Vitaly Bergelson
Vitaly Bergelson The Ohio State University
Igor Rodnianski
Igor Rodnianski Princeton University

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