Larry Guth

Q: What Schools Are Affiliated With Larry Guth

Larry Guth is affiliated with the following schools: Stanford University, Massachusetts Institute of Technology, University of Toronto

Larry Guth's AcademicInfluence.com Rankings

Larry Guth

Mathematics

#281

World Rank

#609

Historical Rank

#133

USA Rank

Measure Theory

#1095

World Rank

#1408

Historical Rank

#401

USA Rank

mathematics Degrees

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Mathematics

Larry Guth's Degrees

PhD Mathematics Stanford University

Why Is Larry Guth Influential?

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According to Wikipedia, Lawrence David Guth is a professor of mathematics at the Massachusetts Institute of Technology. Education and career Guth graduated from Yale in 2000, with BS in mathematics. In 2005, he got his PhD in mathematics from the Massachusetts Institute of Technology, where he studied geometry of objects with random shapes under the supervision of Tomasz Mrowka.

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Larry Guth's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On the Erdős distinct distances problem in the plane (2015) (393)
Bounds on Oscillatory Integral Operators Based on Multilinear Estimates (2010) (304)
Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three (2015) (255)
On the Erdos distinct distance problem in the plane (2010) (217)
A restriction estimate using polynomial partitioning (2014) (152)
Algebraic methods in discrete analogs of the Kakeya problem (2008) (130)
Restriction estimates using polynomial partitioning II (2016) (111)
The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture (2008) (108)
On Falconer’s distance set problem in the plane (2018) (105)
Minimax Problems Related to Cup Powers and Steenrod Squares (2007) (89)
Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds (2013) (83)
Symplectic embeddings of polydisks (2007) (76)
Polynomial Methods in Combinatorics (2016) (70)
Weighted restriction estimates and application to Falconer distance set problem (2018) (66)
Polynomial partitioning for a set of varieties (2014) (56)
A sharp square function estimate for the cone in ℝ3 (2019) (54)
Sharp estimates for oscillatory integral operators via polynomial partitioning (2017) (52)
POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES (2018) (51)
A short proof of the multilinear Kakeya inequality (2014) (50)
A sharp Schrodinger maximal estimate in $\mathbb{R}^2$ (2016) (48)
Volumes of balls in large Riemannian manifolds (2006) (48)
Metaphors in Systolic Geometry (2010) (45)
Pants Decompositions of Random Surfaces (2010) (43)
Generalizations of the Kolmogorov–Barzdin embedding estimates (2011) (42)
Systolic Inequalities and Minimal Hypersurfaces (2009) (39)
The Width-Volume Inequality (2006) (36)
Distinct Distance Estimates and Low Degree Polynomial Partitioning (2014) (36)
Strichartz estimates for the Schrödinger equation on irrational tori (2017) (32)
Notes on Gromov’s systolic estimate (2007) (28)
Algebraic curves, rich points, and doubly-ruled surfaces (2015) (26)
Incidence Estimates for Well Spaced Tubes (2019) (25)
Polynomial Wolff axioms and Kakeya‐type estimates in R4 (2017) (25)
Small cap decouplings (2019) (24)
Contraction of Areas vs. Topology of Mappings (2012) (23)
Volumes of balls in Riemannian manifolds and Uryson width (2015) (22)
On the Discretized Sum-Product Problem (2018) (16)
Improved decoupling for the parabola (2020) (15)
THE WAIST INEQUALITY IN GROMOV ’ S WORK LARRY GUTH (2012) (12)
Unexpected Applications of Polynomials in Combinatorics (2013) (10)
2-Complexes with Large 2-Girth (2015) (10)
Degree reduction and graininess for Kakeya-type sets in $\mathbb{R}^3$ (2014) (9)
Recent progress in quantitative topology (2017) (9)
A sharp Schrödinger maximal estimate in R[superscript 2] (2017) (9)
Lipshitz maps from surfaces (2005) (9)
Generalizations of the (2014) (8)
Area-contracting maps between rectangles (2005) (8)
Bounds on oscillatory integral operators (2011) (8)
Homotopically non-trivial maps with small k-dilation (2007) (8)
Ruled Surface Theory and Incidence Geometry (2016) (8)
Isoperimetric inequalities and rational homotopy invariants (2008) (7)
Three Applications of Entropy to Gerrymandering (2020) (6)
Sharp superlevel set estimates for small cap decouplings of the parabola (2021) (5)
A Few Snapshots from the Work of Mikhail Gromov (2014) (5)
Curves in R 4 and Two-Rich Points. (2017) (5)
Directional isoperimetric inequalities and rational homotopy invariants (2008) (4)
A family of maps with many small fibers (2014) (4)
Curves in $$\mathbb {R}^4$$R4 and Two-Rich Points (2015) (4)
Minimal number of self-intersections of the boundary of an immersed surface in the plane (2009) (3)
2-complexes with large homological systoles (2015) (3)
On Falconer’s distance set problem in the plane (2019) (3)
Area-expanding embeddings of rectangles (2007) (3)
Strichartz estimates for the Schrödinger equation on non-rectangular two-dimensional tori (2018) (3)
The Hopf volume and degrees of maps between 3-manifolds (2007) (2)
Parametric inequalities and Weyl law for the volume spectrum (2022) (2)
STRAIGHT LINE ORTHOGONAL DRAWINGS OF COMPLETE TERNERY TREES SPUR FINAL PAPER (2015) (2)
Amenable groups and smooth topology of 4-manifolds (2015) (1)
Sharp Szemer\'edi-Trotter Constructions in the Plane (2021) (1)
The Bezout theorem (2016) (1)
Decoupling estimates in Fourier analysis (2022) (1)
Remembering Jean Bourgain (1954–2018) (2021) (1)
The joints problem for matroids (2013) (1)
Decoupling inequalities for short generalized Dirichlet sequences (2021) (1)
Macroscopic scalar curvature and codimension 2 width (2021) (1)
The Hopf invariant and simplex straightening (2007) (1)
A DECOUPLING INEQUALITY FOR SHORT GENERALIZED DIRICHLET SEQUENCES (2021) (1)
Amplitude dependent wave envelope estimates for the cone in $\mathbb{R}^3$ (2022) (1)
Optimal homotopies of curves on surfaces (2014) (0)
Systolic almost-rigidity modulo 2 (2022) (0)
Contraction of Areas vs. Topology of Mappings (2013) (0)
Incidence geometry in three dimensions (2016) (0)
An exceptional set estimate for restricted projections to lines in $\mathbb{R}^3$ (2022) (0)
Ruled surfaces and projection theory (2016) (0)
Fundamental examples of the polynomial method (2016) (0)
The polynomial method in number theory (2016) (0)
Small cap decoupling for the moment curve in $\mathbb{R}^3$ (2022) (0)
2-Complexes with Large 2-Girth (2017) (0)
Northern California Symplectic Geometry Seminar (2008) (0)
Degrees of maps and multiscale geometry (2022) (0)
On restricted projections to planes in $\mathbb{R}^3$ (2022) (0)
Curves in $\mathbb{R}^4$ and two-rich points (2015) (0)
An incidence bound for lines in three dimensions (2016) (0)
The polynomial method in differential geometry (2016) (0)
The Polynomial Method Professor Larry Guth (2012) (0)
The polynomial method in error-correcting codes (2016) (0)
Combinatorial structure, algebraic structure, and geometric structure (2016) (0)
On polynomials and linear algebra in combinatorics (2016) (0)
A hardness of approximation result in metric geometry (2019) (0)
Harmonic analysis and the Kakeya problem (2016) (0)
Degree reduction and graininess for Kakeya-type sets in R[superscript 3] (2016) (0)
Contraction of Areas vs. Topology of Mappings Publisher Accessed Terms of Use Contraction of Areas vs. Topology of Mappings (0)
A pr 2 01 8 On the discretized sum-product problem (2018) (0)
Distinct Distance Estimates and Low Degree Polynomial Partitioning (2014) (0)

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Other Resources About Larry Guth

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What Schools Are Affiliated With Larry Guth?

Larry Guth is affiliated with the following schools:

Larry Guth's Academic­Influence.com Rankings