Larry Guth

2.6k total citations
41 papers, 805 citations indexed

About

Larry Guth is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Larry Guth has authored 41 papers receiving a total of 805 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Applied Mathematics, 18 papers in Mathematical Physics and 17 papers in Geometry and Topology. Recurrent topics in Larry Guth's work include Advanced Harmonic Analysis Research (11 papers), Geometric Analysis and Curvature Flows (9 papers) and Mathematical Analysis and Transform Methods (8 papers). Larry Guth is often cited by papers focused on Advanced Harmonic Analysis Research (11 papers), Geometric Analysis and Curvature Flows (9 papers) and Mathematical Analysis and Transform Methods (8 papers). Larry Guth collaborates with scholars based in United States, Canada and Switzerland. Larry Guth's co-authors include Jean Bourgain, Nets Hawk Katz, Ciprian Demeter, Xiumin Du, Hong Wang, Xiaochun Li, Ruixiang Zhang, Yumeng Ou, Alex Iosevich and Pierre Germain and has published in prestigious journals such as SHILAP Revista de lepidopterología, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Larry Guth

33 papers receiving 756 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Larry Guth United States 15 422 391 242 146 140 41 805
Nets Hawk Katz United States 14 327 0.8× 255 0.7× 174 0.7× 341 2.3× 184 1.3× 30 774
Jeffrey D. Vaaler United States 15 367 0.9× 370 0.9× 418 1.7× 147 1.0× 162 1.2× 52 996
Marilyn Breen United States 14 215 0.5× 122 0.3× 236 1.0× 68 0.5× 240 1.7× 112 622
T. Figiel United States 14 702 1.7× 882 2.3× 254 1.0× 39 0.3× 247 1.8× 29 1.2k
Bo’az Klartag Israel 17 591 1.4× 118 0.3× 183 0.8× 28 0.2× 91 0.7× 45 768
Claus Scheiderer Germany 14 125 0.3× 189 0.5× 379 1.6× 53 0.4× 335 2.4× 60 670
Victor Vinnikov Israel 14 326 0.8× 265 0.7× 236 1.0× 55 0.4× 279 2.0× 55 723
József Solymosi Canada 13 101 0.2× 46 0.1× 195 0.8× 380 2.6× 286 2.0× 75 653
Per Enflo United States 16 597 1.4× 702 1.8× 284 1.2× 24 0.2× 233 1.7× 37 1.0k
Hermann König Germany 15 638 1.5× 506 1.3× 107 0.4× 15 0.1× 155 1.1× 57 885

Countries citing papers authored by Larry Guth

Since Specialization
Citations

This map shows the geographic impact of Larry Guth's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Larry Guth with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Larry Guth more than expected).

Fields of papers citing papers by Larry Guth

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Larry Guth. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Larry Guth. The network helps show where Larry Guth may publish in the future.

Co-authorship network of co-authors of Larry Guth

This figure shows the co-authorship network connecting the top 25 collaborators of Larry Guth. A scholar is included among the top collaborators of Larry Guth based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Larry Guth. Larry Guth is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Guth, Larry, et al.. (2025). ℓ2 decoupling theorem for surfaces inℝ3. Analysis & PDE. 19(1). 167–202.
2.
Guth, Larry, et al.. (2024). Small cap decoupling for the moment curve inℝ3. Analysis & PDE. 17(10). 3551–3588.
3.
Guth, Larry, et al.. (2024). Degrees of maps and multiscale geometry. SHILAP Revista de lepidopterología. 12.
4.
Guth, Larry, et al.. (2023). Decoupling inequalities for short generalized Dirichlet sequences. Analysis & PDE. 16(10). 2401–2464.
5.
Guth, Larry, et al.. (2022). Improved decoupling for the parabola. Journal of the European Mathematical Society. 26(3). 875–917. 4 indexed citations
6.
Guth, Larry, et al.. (2022). Sharp superlevel set estimates for small cap decouplings of the parabola. Revista Matemática Iberoamericana. 39(3). 975–1004.
7.
Du, Xiumin, et al.. (2021). Weighted restriction estimates and application to Falconer distance set problem. American Journal of Mathematics. 143(1). 175–211. 19 indexed citations
8.
Du, Xiumin, Larry Guth, Xiaochun Li, & Ruixiang Zhang. (2018). POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES. Forum of Mathematics Sigma. 6. 18 indexed citations
9.
Guth, Larry & Joshua Zahl. (2018). Polynomial Wolff axioms and Kakeya-type estimates in R4. DSpace@MIT (Massachusetts Institute of Technology). 7 indexed citations
10.
Deng, Yu, Pierre Germain, & Larry Guth. (2017). Strichartz estimates for the Schrödinger equation on irrational tori. Journal of Functional Analysis. 273(9). 2846–2869. 20 indexed citations
11.
Guth, Larry. (2016). Polynomial Methods in Combinatorics. 19 indexed citations
12.
Guth, Larry. (2016). Volumes of balls in Riemannian manifolds and Uryson width. Journal of Topology and Analysis. 9(2). 195–219. 5 indexed citations
13.
Guth, Larry. (2015). Polynomial partitioning for a set of varieties. Mathematical Proceedings of the Cambridge Philosophical Society. 159(3). 459–469. 11 indexed citations
14.
Guth, Larry & Nets Hawk Katz. (2014). On the Erdős distinct distances problem in the plane. Annals of Mathematics. 155–190. 119 indexed citations
15.
Guth, Larry & Nets Hawk Katz. (2011). On the Erdýos distinct distance problem in the plane. 2 indexed citations
16.
Guth, Larry. (2011). Metaphors in Systolic Geometry. 745–768. 12 indexed citations
17.
Guth, Larry & Nets Hawk Katz. (2010). Algebraic methods in discrete analogs of the Kakeya problem. Advances in Mathematics. 225(5). 2828–2839. 38 indexed citations
18.
Guth, Larry. (2010). Systolic Inequalities and Minimal Hypersurfaces. Geometric and Functional Analysis. 19(6). 1688–1692. 11 indexed citations
19.
Guth, Larry. (2010). Volumes of balls in large Riemannian manifolds. Annals of Mathematics. 173(1). 51–76. 13 indexed citations
20.
Guth, Larry. (2009). Minimax Problems Related to Cup Powers and Steenrod Squares. Geometric and Functional Analysis. 18(6). 1917–1987. 35 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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