H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 106 Citations 84,623 379 World Ranking 8 National Ranking 5

Research.com Recognitions

Awards & Achievements

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 - Member of the National Academy of Sciences

2008 - National Science Foundation Alan T. Waterman Award Mathematics

2007 - Fellow of the Royal Society, United Kingdom

2006 - Fellow of the MacArthur Foundation

2006 - Fields Medal of International Mathematical Union (IMU) For his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.

1999 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Combinatorics
  • Algebra

Terence Tao mainly focuses on Combinatorics, Mathematical analysis, Discrete mathematics, Nonlinear system and Pure mathematics. His Combinatorics study focuses on Conjecture in particular. His Mathematical analysis research incorporates themes from Scattering and Mathematical physics.

Terence Tao focuses mostly in the field of Discrete mathematics, narrowing it down to topics relating to Convex optimization and, in certain cases, Sigma. His Pure mathematics study also includes

  • Algebra that connect with fields like Operator norm and Spectral theorem,

  • Norm which is related to area like Fourier series. His Random matrix study also includes fields such as

  • Hermitian matrix most often made with reference to Universality,

  • Gaussian which is related to area like Restricted isometry property.

His most cited work include:

  • Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information (12980 citations)
  • Decoding by linear programming (6013 citations)
  • Stable signal recovery from incomplete and inaccurate measurements (5850 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Combinatorics, Discrete mathematics, Pure mathematics, Mathematical analysis and Conjecture. He combines subjects such as Matrix, Random matrix, Bounded function and Inverse with his study of Combinatorics. His biological study spans a wide range of topics, including Universality and Random variable.

His research ties Polynomial and Discrete mathematics together. He has included themes like Energy, Scattering and Nonlinear system in his Mathematical analysis study. His Nonlinear system study combines topics from a wide range of disciplines, such as Schrödinger equation and Mathematical physics.

He most often published in these fields:

  • Combinatorics (44.38%)
  • Discrete mathematics (20.80%)
  • Pure mathematics (20.65%)

What were the highlights of his more recent work (between 2015-2021)?

  • Combinatorics (44.38%)
  • Bounded function (11.71%)
  • Discrete mathematics (20.80%)

In recent papers he was focusing on the following fields of study:

Combinatorics, Bounded function, Discrete mathematics, Pure mathematics and Conjecture are his primary areas of study. Terence Tao works in the field of Combinatorics, focusing on Abelian group in particular. Terence Tao has researched Bounded function in several fields, including Arbitrarily large, Integer, Torsion and Prime.

The Discrete mathematics study combines topics in areas such as Cardinality and Random matrix. His Pure mathematics research is multidisciplinary, incorporating elements of Nabla symbol and Ode. His study in Conjecture is interdisciplinary in nature, drawing from both Zero, Unit circle, Constant, Arithmetic progression and Function.

Between 2015 and 2021, his most popular works were:

  • THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS (67 citations)
  • Long gaps between primes (37 citations)
  • Random matrices have simple spectrum (34 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Combinatorics

Terence Tao mostly deals with Combinatorics, Conjecture, Bounded function, Lambda and Liouville function. His Combinatorics research is multidisciplinary, relying on both Discrete mathematics and Inverse. Terence Tao interconnects Random matrix, Algebra over a field and Random field in the investigation of issues within Discrete mathematics.

His Conjecture research incorporates elements of Multiplicative function and Arithmetic progression. His Bounded function research is multidisciplinary, incorporating perspectives in Collatz conjecture, Random variable, Pure mathematics, Natural number and Natural density. His work carried out in the field of Lambda brings together such families of science as Minor, Identity, State, Unit and Eigenvalues and eigenvectors.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

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

E.J. Candes;J. Romberg;T. Tao.
IEEE Transactions on Information Theory (2006)

16660 Citations

Decoding by linear programming

E.J. Candes;T. Tao.
IEEE Transactions on Information Theory (2005)

7501 Citations

Stable signal recovery from incomplete and inaccurate measurements

Emmanuel J. Candès;Justin K. Romberg;Terence Tao.
Communications on Pure and Applied Mathematics (2006)

7450 Citations

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

E.J. Candes;T. Tao.
IEEE Transactions on Information Theory (2006)

7405 Citations

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

Emmanuel Candes;Terence Tao.
Annals of Statistics (2007)

3480 Citations

The Power of Convex Relaxation: Near-Optimal Matrix Completion

Emmanuel J Candes;Terence Tao.
IEEE Transactions on Information Theory (2010)

1943 Citations

Endpoint Strichartz estimates

Markus Aloysius Keel;Terence Tao.
American Journal of Mathematics (1998)

1701 Citations

Nonlinear dispersive equations : local and global analysis

Terence Tao.
(2006)

1260 Citations

Topics in Random Matrix Theory

Terence Tao.
(2012)

864 Citations

The primes contain arbitrarily long arithmetic progressions

Benjamin Green;Terence Tao.
Annals of Mathematics (2008)

828 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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