Larry Guth

Applied Mathematics · 2006–2019

A researcher in the Science corpus: 25 papers; trusts 38 researchers and is trusted by 57 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 97 citations into it; #108 of 7,620 by trust here, #260 by citations
• Mathematical Physics — 97 citations into it; #492 of 8,562 by trust here, #810 by citations
• Geometry and Topology — 34 citations into it; #249 of 7,422 by trust here, #494 by citations
• Discrete Mathematics and Combinatorics — 31 citations into it; #1,861 of 2,017 by trust here, #1,149 by citations
• Computational Theory and Mathematics — 25 citations into it; #3,673 of 12,182 by trust here, #7,142 by citations
• Algebra and Number Theory — 17 citations into it
• Numerical Analysis — 13 citations into it; #2,154 of 3,586 by trust here, #2,242 by citations
• Artificial Intelligence — 8 citations into it

Whom Larry Guth trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jean Bourgain
2. Tuomas Orponen
3. Misha Gromov
4. Sanghyuk Lee
5. Nets Hawk Katz
6. Terence Tao
7. T. Wolff
8. Jonathan Bennett
9. Zeev Dvir
10. Tamás Keleti

Who trusts Larry Guth overall

1. Xiumin Du
2. J. Hickman
3. Jean Bourgain
4. Ruixiang Zhang
5. F. C. Marques
6. Nets Hawk Katz
7. Misha Gromov
8. Antoine Song
9. F. Schlenk
10. Keith McKenzie Rogers

Papers from Larry Guth's perspective

Ordered by how strongly the researchers Larry Guth trusts endorse each paper. Same corpus, a different order for every researcher.

1. Local smoothing type estimates on Lp for large p
2. Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators
3. Bounds on Oscillatory Integral Operators Based on Multilinear Estimates
4. A short proof of the multilinear Kakeya inequality (Mathematical Proceedings of the Cambridge Philosophical Society)
5. On the Erdos distinct distance problem in the plane
6. A local smoothing estimate in higher dimensions
7. On plate decompositions of cone multipliers (Proceedings of the Edinburgh Mathematical Society)
8. L p regularity of averages over curves and bounds for associated maximal operators
9. Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
10. New Bounds on the Dimensions of Planar Distance Sets (Geometric and Functional Analysis)

Their papers

• Symplectic embeddings of polydisks (2007) — 82 citations
• Generalizations of the Kolmogorov–Barzdin embedding estimates (2011) — 57 citations
• A sharp square function estimate for the cone in ℝ3 (2019) — 101 citations
• Incidence Estimates for Well Spaced Tubes (2019) — 56 citations
• POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES (2018) — 72 citations
• Weighted restriction estimates and application to Falconer distance set problem (2018) — 92 citations
• On Falconer’s distance set problem in the plane (2018) — 193 citations
• A sharp Schrödinger maximal estimate in R2 (2017) — 148 citations
• Strichartz estimates for the Schrödinger equation on irrational tori (2017) — 49 citations
• Sharp estimates for oscillatory integral operators via polynomial partitioning (2017) — 72 citations
• Restriction estimates using polynomial partitioning II (2016) — 148 citations
• Polynomial Methods in Combinatorics (2016) — 83 citations
• On the Erdős distinct distances problem in the plane (2015) — 432 citations
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three (2015) — 342 citations
• A short proof of the multilinear Kakeya inequality (2014) — 63 citations
• A restriction estimate using polynomial partitioning (2014) — 204 citations
• Polynomial partitioning for a set of varieties (2014) — 59 citations
• Metaphors in Systolic Geometry (2010) — 60 citations
• On the Erdos distinct distance problem in the plane (2010) — 221 citations
• Bounds on Oscillatory Integral Operators Based on Multilinear Estimates (2010) — 385 citations