L. Guth

Most-cited papers

On the Erdős distinct distances problem in the plane
L. Guth, N. Katz
2015441 citations Open access
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Bounds on Oscillatory Integral Operators Based on Multilinear Estimates
J. Bourgain, L. Guth
2010400 citations Open access
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Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
J. Bourgain, C. Demeter, L. Guth
2015368 citations Open access
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On the Erdos distinct distance problem in the plane
L. Guth, N. Katz
2010221 citations
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On Falconer’s distance set problem in the plane
L. Guth, A. Iosevich, Yumeng Ou, Hong Wang
2018Inventiones Mathematicae211 citations Open access
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A restriction estimate using polynomial partitioning
L. Guth
2014211 citations Open access
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Restriction estimates using polynomial partitioning II
L. Guth
2016156 citations Open access
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A sharp Schrödinger maximal estimate in R2
Xiu-Min Du, L. Guth, Xiao-Chun Li
2017152 citations Open access
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Algebraic methods in discrete analogs of the Kakeya problem
L. Guth, N. Katz
2008140 citations Open access
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The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture
L. Guth
2008133 citations Open access
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A sharp square function estimate for the cone in ℝ3
L. Guth, Hong Wang, Rui-Xiang Zhang
2019115 citations Open access
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Minimax Problems Related to Cup Powers and Steenrod Squares
L. Guth
2007113 citations Open access
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Weighted restriction estimates and application to Falconer distance set problem
Xiu-Min Du, L. Guth, Yumeng Ou, Hong Wang +2 more
2018American Journal of Mathematics100 citations Open access
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Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds
L. Guth, A. Lubotzky
201397 citations Open access
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Polynomial Methods in Combinatorics
L. Guth
201685 citations
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Symplectic embeddings of polydisks
L. Guth
200783 citations Open access
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POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
Xiu-Min Du, L. Guth, Xiao-Chun Li, Rui-Xiang Zhang
2018Forum of Mathematics, Sigma79 citations Open access
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Sharp estimates for oscillatory integral operators via polynomial partitioning
L. Guth, J. Hickman, M. Iliopoulou
2017Acta Mathematica76 citations Open access
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Volumes of balls in large Riemannian manifolds
L. Guth
200670 citations Open access
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Metaphors in Systolic Geometry
L. Guth
201066 citations
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A short proof of the multilinear Kakeya inequality
L. Guth
2014Mathematical Proceedings of the Cambridge Philosophical Society65 citations Open access
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Polynomial partitioning for a set of varieties
L. Guth
2014Mathematical Proceedings of the Cambridge Philosophical Society60 citations Open access
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Pants Decompositions of Random Surfaces
L. Guth, H. Parlier, Robert Young
201060 citations
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Generalizations of the Kolmogorov–Barzdin embedding estimates
M. Gromov, L. Guth
201159 citations Open access
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Incidence Estimates for Well Spaced Tubes
L. Guth, N. Solomon, Hong Wang
2019Geometric and Functional Analysis57 citations
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Strichartz estimates for the Schrödinger equation on irrational tori
Yu Deng, P. Germain, L. Guth
201752 citations Open access
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Systolic Inequalities and Minimal Hypersurfaces
L. Guth
200944 citations Open access
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Small cap decouplings
C. Demeter, L. Guth, Hong Wang
2019Geometric and Functional Analysis43 citations Open access
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Volumes of balls in Riemannian manifolds and Uryson width
L. Guth
201541 citations Open access
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Improved decoupling for the parabola
L. Guth, Dominique Maldague, Hong Wang
2020Journal of the European Mathematical Society (Print)39 citations Open access
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Polynomial Wolff axioms and Kakeya‐type estimates in R4
L. Guth, Joshua Zahl
201739 citations Open access
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The Width-Volume Inequality
L. Guth
200638 citations Open access
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Notes on Gromov’s systolic estimate
L. Guth
200735 citations Open access
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Distinct Distance Estimates and Low Degree Polynomial Partitioning
L. Guth
2014Discrete & Computational Geometry34 citations Open access
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On the Discretized Sum-Product Problem
L. Guth, N. Katz, Joshua Zahl
2018International mathematics research notices27 citations Open access
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Algebraic curves, rich points, and doubly-ruled surfaces
L. Guth, Joshua Zahl
2015arXiv.org25 citations Open access
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Contraction of Areas vs. Topology of Mappings
L. Guth
201225 citations
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THE WAIST INEQUALITY IN GROMOV ’ S WORK LARRY GUTH
L. Guth, ≥. V. oln−qS
201219 citations
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On restricted projections to planes in ℝ3
Sheng-Wen Gan, Shao-Ming Guo, L. Guth, Terence L. J. Harris +2 more
2022American Journal of Mathematics17 citations Open access
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Recent progress in quantitative topology
L. Guth
201716 citations Open access
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Sharp superlevel set estimates for small cap decouplings of the parabola
Yu Fu, L. Guth, Dominique Maldague
2021Revista matemática iberoamericana14 citations Open access
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Generalizations of the
Saarik Kalia, Mentor Ben Yang, L. Guth
201413 citations
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Strichartz estimates for the Schrödinger equation on non-rectangular two-dimensional tori
Yu Deng, P. Germain, L. Guth, Simon L. Rydin Myerson
2018American Journal of Mathematics12 citations Open access
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2-Complexes with Large 2-Girth
Dominic Dotterrer, L. Guth, M. Kahle
2015Discrete & Computational Geometry12 citations Open access
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Degree reduction and graininess for Kakeya-type sets in $\mathbb{R}^3$
L. Guth
201412 citations Open access
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Decoupling estimates in Fourier analysis
L. Guth
202211 citations
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Macroscopic scalar curvature and codimension 2 width
Hannah Alpert, Alexey Balitskiy, L. Guth
2021Journal of Topology and Analysis (JTA)11 citations Open access
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Decoupling inequalities for short generalized Dirichlet sequences
Yu Fu, L. Guth, Dominique Maldague
2021Analysis & PDE11 citations Open access
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Unexpected Applications of Polynomials in Combinatorics
L. Guth
2013The Mathematics of Paul Erdős I11 citations Open access
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Lipshitz maps from surfaces
L. Guth
200510 citations Open access
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