Harmonic analysis

Study of superpositions in mathematics

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2023 Tao was awarded the Alexanderson Award, alongside Kaisa Matomäki, Maksym Radziwiłł, Joni Teräväinen, and Tamar Ziegler, for their work on higher uniformity of bounded multiplicative functions.
2022 Tao was recognized as the Global Australian of the Year by Advance Global Australians.
2022 He received the Grande Médaille.
2021 He was awarded the IEEE Jack S. Kilby Signal Processing Medal.
2021 President Joe Biden announced that Tao was selected as one of 30 members of his President's Council of Advisors on Science and Technology.
2021 Tao was awarded the inaugural Riemann Prize 2019 by the Riemann International School of Mathematics at the University of Insubria during the Riemann Prize Week.
2020 He was awarded the Princess of Asturias Award for Technical and Scientific Research, shared with Emmanuel Candès, for their work on compressed sensing.
2020 Tao received the Bolyai Prize.
2020 Terence Tao proved Sendov's conjecture in the special case of polynomials with sufficiently high degree.
2019 Terence Tao made significant progress on the Collatz conjecture, proving the probabilistic claim that almost all Collatz orbits attain almost bounded values.
2019 He received the Riemann Prize.
2019 The Carnegie Corporation of New York honored Tao with the 2019 Great Immigrant Award.
2018 With Brad Rodgers, Terence Tao showed that the de Bruijn–Newman constant is nonnegative, which is equivalent to the nonpositivity related to the Riemann hypothesis.
2016 Tao constructed a variant of the Navier–Stokes equations that exhibited solutions with irregular behavior in finite time, impacting the understanding of the Navier–Stokes existence and smoothness problem.
2015 Tao won the PROSE award in the category of 'Mathematics' for 'Hilbert's Fifth Problem and Related Topics.'
2015 Terence Tao resolved the Erdős discrepancy problem, using entropy estimates within analytic number theory.
2014 Tao was awarded the CTY Distinguished Alumni Honor by the Johns Hopkins Center for Gifted and Talented Youth in a ceremony attended by 979 students.
2014 Terence Tao received both the Royal Medal and the Breakthrough Prize in Mathematics, further acknowledging his significant contributions to the field.
2014 He was awarded the Royal Medal.
2012 Tao was awarded the Crafoord Prize.
2012 In collaboration with Ben J. Green, Tao announced proofs of the conjectured 'orchard-planting problem'.
2012 He became a Simons Investigator.
2011 Tao and Vu established a 'four moment theorem' for random hermitian matrices, showing that random matrices which agree on specific average values exhibit coinciding expected values of their eigenvalues, with controlled error that diminishes as matrix size increases.
2010 He was awarded the King Faisal International Prize.
2010 In collaboration with Emmanuel Candes, Terence Tao further developed results and techniques concerning the recovery of a low-rank matrix, building upon their earlier findings in the field of compressed sensing.
2010 He won the Polya Prize, shared with Emmanuel Candès.
2010 Tao received the Nemmers Prize in Mathematics.
2010 Terence Tao and Van Vu made a significant contribution to the study of non-symmetric random matrices, proving the long-conjectured circular law, demonstrating that the eigenvalues of large random matrices tend to be uniformly scattered across a disk around the origin.
2010 Green and Tao presented a multilinear extension of Dirichlet's theorem on arithmetic progressions, detailing the conditions under which there exist infinitely many matrices with prime number components.

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