Publications

论文

Twelve selected papers, followed by a complete chronological list of 38 works.

十二篇代表论文,以及按年份排列的 38 项完整论文清单。

12
selected
代表论文
38
works
全部论文
02

Complete list

完整清单

2013–2026 · newest first

2013–2026 · 按年份倒序

Filter by research area按研究方向筛选

2026

1 work1 项
01

Streamlined version of the proof of the Kakeya set conjecture in R³

Larry Guth · Hong Wang · Joshua Zahl

Preprintstreamlined proof
↗

2025

4 works4 项
01

Simple proofs of discretised projection theorems

William O'Regan · Pablo Shmerkin · Hong Wang

Preprintpreprint
↗
02

Heilbronn's triangle problem in three dimensions

Dominique Maldague · Hong Wang · Dmitrii Zakharov

Preprintpreprint
↗
03

Two-ends Furstenberg estimates in the plane

Hong Wang · Shukun Wu

Preprintpreprint
↗
04

Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Hong Wang · Joshua Zahl

arXiv · 127 pagespreprint
↗

2024

4 works4 项
01

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Hong Wang · Shukun Wu

arXiv · revised 2025preprint
↗
02

Szemerédi–Trotter bounds for tubes and applications

Ciprian Demeter · Hong Wang

Preprintpreprint
↗
03

Lᵖ weighted Fourier restriction estimates

Xiumin Du · Jianhui Li · Hong Wang · Ruixiang Zhang

Preprintpreprint
↗
04

The Assouad dimension of Kakeya sets in R³

Hong Wang · Joshua Zahl

Inventiones Mathematicae 241published 2025
↗

2023

3 works3 项
01

How much can heavy lines cover?

Damian Dąbrowski · Tuomas Orponen · Hong Wang

Preprintpreprint
↗
02

Furstenberg sets estimate in the plane

Kevin Ren · Hong Wang

arXiv · revised 2024preprint
↗
03

Some sharp inequalities of Mizohata–Takeuchi-type

Anthony Carbery · Marina Iliopoulou · Hong Wang

Preprintpreprint
↗

2022

7 works7 项
01

Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem

Pablo Shmerkin · Hong Wang

Analysis & PDE 18published 2025
↗
02

A restricted projection problem for fractal sets in Rⁿ

Shengwen Gan · Shaoming Guo · Hong Wang

Preprintpreprint
↗
03

Sticky Kakeya sets and the sticky Kakeya conjecture

Hong Wang · Joshua Zahl

Journal of the AMS 39published 2026
↗
04

A dichotomy for Hörmander-type oscillatory integral operators

Shaoming Guo · Hong Wang · Ruixiang Zhang

Preprintpreprint
↗
05

An improved restriction estimate in R³

Hong Wang · Shukun Wu

Preprintsuperseded
↗
06

Kaufman and Falconer estimates for radial projections and a continuum version of Beck's theorem

Tuomas Orponen · Pablo Shmerkin · Hong Wang

Preprintpreprint
↗
07

On restricted projections to planes in R³

Shengwen Gan · Shaoming Guo · Larry Guth · Terence L. J. Harris · Dominique Maldague · Hong Wang

Preprintpreprint
↗

2021

2 works2 项
01

On the distance sets spanned by sets of dimension d/2 in Rᵈ

Pablo Shmerkin · Hong Wang

Preprintpreprint
↗
02

The Bochner–Riesz problem: an old approach revisited

Shaoming Guo · Changkeun Oh · Shukun Wu · Hong Wang · Ruixiang Zhang

Preprintpublished 2024
↗

2020

2 works2 项
01

Improved decoupling for the parabola

Larry Guth · Dominique Maldague · Hong Wang

Journal of the EMSpublished 2024
↗
02

An improved result for Falconer's distance set problem in even dimensions

Xiumin Du · Alex Iosevich · Yumeng Ou · Hong Wang · Ruixiang Zhang

Mathematische Annalenpublished 2021
↗

2019

6 works6 项
01

Optimal analysis of subset-selection based ℓᵖ low-rank approximation

Chen Dan · Hong Wang · Hongyang Zhang · Yuchen Zhou · Pradeep Ravikumar

PreprintNeurIPS 2019
↗
02

2D defocusing nonlinear Schrödinger equation with random data on irrational tori

Chenjie Fan · Yumeng Ou · Gigliola Staffilani · Hong Wang

Preprintpreprint
↗
03

A sharp square function estimate for the cone in R³

Larry Guth · Hong Wang · Ruixiang Zhang

Preprintpreprint
↗
04

Small cap decouplings

Ciprian Demeter · Larry Guth · Hong Wang

Preprintpreprint
↗
05

Incidence estimates for well-spaced tubes

Larry Guth · Noam Solomon · Hong Wang

Preprintpreprint
↗
06

Lower bounds for estimates of the Schrödinger maximal function

Xiumin Du · Jongchon Kim · Hong Wang · Ruixiang Zhang

Preprintpreprint
↗

2018

3 works3 项
01

On Falconer's distance set problem in the plane

Larry Guth · Alex Iosevich · Yumeng Ou · Hong Wang

Preprintpreprint
↗
02

Weighted restriction estimates and application to Falconer distance set problem

Xiumin Du · Larry Guth · Yumeng Ou · Hong Wang · Bobby Wilson · Ruixiang Zhang

American Journal of Mathematicspublished 2021
↗
03

A restriction estimate in R³ using brooms

Hong Wang

Duke Mathematical Journalpublished 2022
↗

2017

1 work1 项
01

A cone restriction estimate using polynomial partitioning

Yumeng Ou · Hong Wang

Journal of the EMSpublished 2022
↗

2016

3 works3 项
01

On a bilinear Strichartz estimate on irrational tori and some application

Chenjie Fan · Gigliola Staffilani · Hong Wang · Bobby Wilson

Preprintpreprint
↗
02

Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet

Hong Wang · Lingfu Zhang

Preprintpreprint
↗
03

Decoupling and near-optimal restriction estimates for Cantor sets

Izabella Laba · Hong Wang

International Mathematics Research Noticespublished 2017
↗

2015

1 work1 项
01

Exposition of the Elekes–Szabó paper

Hong Wang

Preprintexpository
↗

2013

1 work1 项
01

Bounds of incidences between points and algebraic curves

Hong Wang · Ben Yang · Ruixiang Zhang

Preprintpreprint
↗