276 citations · 4.5k across the 293 of their papers we have counts for
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A nilpotent Freiman dimension lemma
Emmanuel Breuillard, Ben Green, Terence Tao
We prove that a K-approximate subgroup of an arbitrary torsion-free nilpotent group can be covered by a bounded number of cosets of a nilpotent subgroup of bounded rank, where the…
Random matrices: The Four Moment Theorem for Wigner ensembles
Terence Tao, Van Vu
We survey some recent progress on rigorously establishing the universality of various spectral statistics of Wigner random matrix ensembles, focusing in particular on the Four Mome…
A central limit theorem for the determinant of a Wigner matrix
Terence Tao, Van Vu
We establish a central limit theorem for the log-determinant of a Wigner matrix , under the assumption of four matching moments with either the GUE or GOE en…
The structure of approximate groups
Emmanuel Breuillard, Ben Green, Terence Tao
Let K >= 1 be a parameter. A K-approximate group is a finite set A in a (local) group which contains the identity, is symmetric, and such that A^2 is covered by K left translates o…
Localisation and compactness properties of the Navier-Stokes global regularity problem
Terence Tao
In this paper we establish a number of implications between various qualitative and quantitative versions of the global regularity problem for the Navier-Stokes equations, in the p…
Counting the number of solutions to the Erdos-Straus equation on unit fractions
Christian Elsholtz, Terence Tao
For any positive integer , let denote the number of solutions to the Diophantine equation with positive in…