Guth, Larry

1. On Falconer's distance set problem in the plane
   2018/08/28 by Larry Guth, Alex Iosevich, Guth, Larry +5 · 16 citations
   Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Mathematical Approximation and Integration
2. New large value estimates for Dirichlet polynomials
   2024/05/31 by Larry Guth, Guth, Larry, James Maynard +1 · 1 voice · 5 citations
   #math.NT
3. Bounds on oscillatory integral operators based on multilinear estimates
   2010/12/16 by Bourgain, Jean, Guth, Larry · 10 citations
   #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
4. Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
   2015/12/04 by Jean Bourgain, Ciprian Demeter, Bourgain, Jean +3 · 1 voice · 5 citations
   #math.NT
5. A restriction estimate using polynomial partitioning
   2014/07/08 by Guth, Larry · 5 citations
   #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
6. Sharp estimates for oscillatory integral operators via polynomial\n partitioning
   2017/10/27 by Larry Guth, Guth, Larry, Jonathan E. Hickman +3 · 5 citations
   Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems
7. A sharp square function estimate for the cone in ℝ³
   2019/09/24 by Guth, Larry, Wang, Hong, Zhang, Ruixiang · 5 citations
   #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
8. Restriction estimates using polynomial partitioning II
   2016/03/14 by Guth, Larry · 4 citations
   #42B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
9. Pants decompositions of random surfaces
   2010/11/02 by Guth, Larry, Parlier, Hugo, Young, Robert · 3 citations
   #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
10. Incidence estimates for well spaced tubes
    2019/04/10 by Larry Guth, Noam Solomon, Guth, Larry +3 · 4 citations
    Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Analysis and Transform Methods
11. The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture
    2008/11/14 by Guth, Larry · 2 citations
    #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
12. Metaphors in systolic geometry
    2010/03/22 by Guth, Larry · 2 citations
    #53C23 #Differential Geometry (math.DG) #FOS: Mathematics
13. Weighted restriction estimates and application to Falconer distance set problem
    2018/02/27 by Du, Xiumin, Guth, Larry, Ou, Yumeng +3 · 2 citations
    #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
14. Volumes of balls in large Riemannian manifolds
    2006/10/06 by Guth, Larry · 1 citation
    #53C23 #Differential Geometry (math.DG) #FOS: Mathematics
15. Strichartz estimates for the Schrodinger equation on irrational tori
    2017/02/18 by Deng, Yu, Germain, Pierre, Guth, Larry · 1 citation
    #35Q55 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
16. Small cap decouplings
    2019/08/24 by Demeter, Ciprian, Guth, Larry, Wang, Hong · 1 citation
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
17. Sharp Szemerédi-Trotter Constructions in the Plane
    2021/12/01 by Guth, Larry, Silier, Olivine · 1 citation
    #05Dxx #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics
18. Systolic almost-rigidity modulo 2
    2022/06/04 by Alpert, Hannah, Balitskiy, Alexey, Guth, Larry · 1 citation
    #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)