Research Areas

Harmonic analysis


Education

2010-2014 Bachelor, Zhejiang University

2014-2019 Doctor, Johns Hopkins University


Work Experience

2022-present  Assistant Professor,  Tsinghua University

2019-2022 Visiting Assistant Professor, University of Rochester

                 

Publications

[1] Sharp pointwise Weyl laws for Schrodinger operators with singular potentials on flat tori. Comm. Math. Phys. (2023) (With Xiaoqi Huang)

[2] Pointwise Weyl Laws for Schrodinger operators with singular potentials. Adv. Math. (2023) (With Xiaoqi Huang)

[3] Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded domain, Adv. Math. (2021) (With Xiaoqi Huang and Yannick Sire)

[4] Spectral cluster estimates for Schrodinger operators of relativistic type, J. Math. Pure. Appl. (2021) (With Xiaoqi Huang and Yannick Sire)

[5] Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2, Adv. Math. (2021) (With Xing Wang)

[6] Restriction of toral eigenfunctions to totally geodesic submanifolds, Anal. PDE (2021)(With Xiaoqi Huang)

[7] On the identifiability of interaction functions in systems of interacting particles, Stoch. Processes Appl. (2021)(With Zhongyang Li, Fei Lu, Mauro Maggioni, Sui Tang)

[8] Zeros of the deformed exponential function, Adv. Math. (2018) (With Liuquan Wang)

[9] An endpoint version of uniform Sobolev inequalities, Forum Math.(2018) (With Tianyi Ren and Yakun Xi)

[10] Improved critical eigenfunction restriction estimates on Riemannian manifolds with constant negative curvature, J. Funct. Anal. (2017)

[11] Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem, Cambridge J. Math.(2017)(With C.D. Sogge and Yakun Xi)

[12] Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositve curvature, Comm. Math. Phys. (2017)(With Yakun Xi)

[13] An asymptotic formula for the zeros of the deformed exponential function, J. Math. Anal. Appl.(2016)