Papers:
Restriction and decoupling estimates for the hyperbolic paraboloid in R^3 (with Ciprian Demeter)
On local smoothing estimates for wave equations (with Shengwen Gan)
Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities (with Hong Wang)
On almost everywhere convergence of planar Bochner-Riesz mean (with Xiaochun Li)
A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem (with Shengwen Gan)
A bilinear estimate in F_P (with Necef Kavrut).
Kakeya sets from lines in SL_2 (with Nets Katz and Joshua Zahl). Ars Inven. Anal. (2023)}, Paper No. 6, 23.
An improved restriction estimate in R^3 (with Hong Wang).
Square function estimates for conical regions (with Shengwen Gan), To appear in Indiana Univ. Math. J. (2022).
Heat kernel estimates for non-local operator with critical killing potential (with Renming Song and Peixue Wu).
A note on local smoothing estimates for fractional Schrödinger equations (with Shengwen Gan and Changkeun Oh), J. Funct. Anal. 283 (2022), no. 5, Paper No. 109558.
New bounds for Stein's square functions in higher dimensions (with Shengwen Gan and Changkeun Oh).
New bounds for Stein’s square function in R^3 (with Shengwen Gan and Yifan Jing).
The Bochner-Riesz problem: an old approach revisited (with Shaoming Guo, Changkeun Oh, Hong Wang, and Ruixiang Zhang). To appear in Peking Math J (2024).
A note on the largest sum-free sets of integers (with Yifan Jing). J. Lond. Math. Soc. (2) 109 (2023), no. 1, Paper No. e12819.
On the Bochner-Riesz operator in R^3 To appear in J. Anal. Math (2022).
A note on the refined Strichartz estimates and maximal extension operator J. Fourier Anal. Appl. 27 (2021), no. 3, Article No. 48.
The largest (k,ℓ)-sum-free subsets (with Yifan Jing).Trans. Amer. Math. Soc. 374 (2021), no. 7, 5163–5189.
New estimates of maximal Bochner-Riesz operator in the plane (with Xiaochun Li), Math. Ann. 378 (2020), no. 3-4, 873–890.
Grant:
NSF-2453583
AMS-Simons Travel Grants