Harmonic analysis
Study of superpositions in mathematics
Follow Harmonic analysis on Notably News to receive short updates to your email — rarely!
We include updates on Terence Tao, Group action, Haar measure, Group representation, Plancherel theorem, Riemann–Lebesgue lemma, Pontryagin duality, Constant-Q transform, Group ring, Regular representation, Unitary representation, Character group, McKay conjecture, Peter–Weyl theorem, Character theory, Group algebra of a locally compact group ... and more.
| 2023 |
Terence Tao
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 |
Terence Tao
Tao was recognized as the Global Australian of the Year by Advance Global Australians.
|
| 2022 |
Terence Tao
He received the Grande Médaille.
|
| 2021 |
Terence Tao
He was awarded the IEEE Jack S. Kilby Signal Processing Medal.
|
| 2021 |
Terence Tao
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 |
Terence Tao
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 |
Terence Tao
He was awarded the Princess of Asturias Award for Technical and Scientific Research, shared with Emmanuel Candès, for their work on compressed sensing.
|
| 2020 |
Terence Tao
Tao received the Bolyai Prize.
|
| 2020 |
Terence Tao
Terence Tao proved Sendov's conjecture in the special case of polynomials with sufficiently high degree.
|
| 2019 |
Terence Tao
Terence Tao made significant progress on the Collatz conjecture, proving the probabilistic claim that almost all Collatz orbits attain almost bounded values.
|
| 2019 |
Terence Tao
He received the Riemann Prize.
|
| 2019 |
Terence Tao
The Carnegie Corporation of New York honored Tao with the 2019 Great Immigrant Award.
|
| 2018 |
Terence Tao
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 |
Terence Tao
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 |
Terence Tao
Tao won the PROSE award in the category of 'Mathematics' for 'Hilbert's Fifth Problem and Related Topics.'
|
| 2015 |
Terence Tao
Terence Tao resolved the Erdős discrepancy problem, using entropy estimates within analytic number theory.
|
| 2014 |
Terence Tao
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
Terence Tao received both the Royal Medal and the Breakthrough Prize in Mathematics, further acknowledging his significant contributions to the field.
|
| 2014 |
Terence Tao
He was awarded the Royal Medal.
|
| 2012 |
Terence Tao
Tao was awarded the Crafoord Prize.
|
| 2012 |
Terence Tao
In collaboration with Ben J. Green, Tao announced proofs of the conjectured 'orchard-planting problem'.
|
| 2012 |
Terence Tao
He became a Simons Investigator.
|
| 2011 |
Terence Tao
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 |
Terence Tao
He was awarded the King Faisal International Prize.
|
| 2010 |
Terence Tao
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 |
Terence Tao
He won the Polya Prize, shared with Emmanuel Candès.
|
| 2010 |
Terence Tao
Tao received the Nemmers Prize in Mathematics.
|
| 2010 |
Terence Tao
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 |
Terence Tao
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.
|
This contents of the box above is based on material from the Wikipedia article Terence Tao, which is released under the Creative Commons Attribution-ShareAlike 4.0 International License.