Sharp bounds for the cubic Parsell–Vinogradov system in two dimensions

On the multilinear restriction and Kakeya conjectures

Jonathan Bennett, Anthony Carbery, Terence Tao · Acta Mathematica · 2006 · 321 citations · Full text

Bounds on Oscillatory Integral Operators Based on Multilinear Estimates

Jean Bourgain, Larry Guth · Geometric and Functional Analysis · 2011 · 305 citations

Resolvent Kernel, Riemann-hilbert Problem, Interpolation Space +2

Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three

Jean Bourgain, Ciprian Demeter, Larry Guth · Annals of Mathematics · 2016 · 259 citations

Main Conjecture, Analytic Number Theory, Sharp Decoupling Inequality +2

Local smoothing type estimates on Lp for large p

Thomas Wolff · Geometric and Functional Analysis · 2000 · 183 citations

Mathematical Programming, Parameter Estimation, Density Estimation +6

The cubic case of the main conjecture in Vinogradov's mean value theorem

Trevor D. Wooley · Advances in Mathematics · 2016 · 144 citations · Full text

Mean Value Theorem, Cubic Case, Analytic Number Theory +1