276 citations · 4.5k across the 293 of their papers we have counts for
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Global regularity of wave maps I. Small critical Sobolev norm in high dimension
Terence Tao
We show that wave maps from Minkowski space to a sphere are globally smooth if the initial data is smooth and has small norm in the critical Sobolev space …
Some light on Littlewood-Paley theory
Michael Cowling, Terence Tao
The purpose of this note is to correct an error in a paper of M. Cowling, G. Fendler and J.J.F. Fournier, and to give a counterexample to a conjecture of J.-L. Rubio de Francia.
Global regularity of wave maps II. Small energy in two dimensions
Terence Tao
We show that wave maps from Minkowski space to a sphere are globally smooth if the initial data is smooth and has small norm in the critical Sobolev space $\do…
Recent progress on the Kakeya conjecture
Nets Katz, Terence Tao
The purpose of this article is to survey the developments on the Kakeya problem in recent years, concentrating on the period after the excellent 1999 survey of Wolff, and including…
Honeycombs and sums of Hermitian matrices
Allen Knutson, Terence Tao
Horn's conjecture, which given the spectra of two Hermitian matrices describes the possible spectra of the sum, was recently settled in the affirmative. In this survey we discuss o…
From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE
Terence Tao
We survey the interconnections between geometric combinatorics (such as the Kakeya problem), arithmetic combinatorics (such as the classical problem of determining which sets conta…