105 citations · 592 across the 57 of their papers we have counts for
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Bounds on oscillatory integral operators based on multilinear estimates
Jean Bourgain, Larry Guth
We apply the Bennett-Carbery-Tao multilinear restriction estimate in order to bound restriction operators and more general oscillatory integral operators. We get improved L^p estim…
Pants decompositions of random surfaces
Larry Guth, Hugo Parlier, Robert Young
Our goal is to show, in two different contexts, that "random" surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus for which any…
On the Erdos distinct distance problem in the plane
Larry Guth, Nets Hawk Katz
In this paper, we prove that a set of points in has at least distinct distances, thus obtaining the sharp exponent in a problem of Erdös. We fol…
Metaphors in systolic geometry
Larry Guth
This is an expository essay about systolic geometry. It describes a central theorem in the subject and why the proof is difficult. Then it discusses different metaphors which sugge…