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Office:Shuangqing Complex Bldg. A506
E-mail:czhang98(at)tsinghua.edu.cn
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Harmonic analysis
2010-2014 Bachelor, Zhejiang University
2014-2019 Doctor, Johns Hopkins University
2022-present Assistant Professor, Tsinghua University
2019-2022 Visiting Assistant Professor, University of Rochester
[1] An asymptotic formula for the zeros of the deformed exponential function, J. Math. Anal. Appl.(2016)
[2] Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositve curvature, Comm. Math. Phys. (2017)(With Yakun Xi)
[3] Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem, Cambridge J. Math. (2017)(With C.D. Sogge and Yakun Xi)
[4] Improved critical eigenfunction restriction estimates on Riemannian manifolds with constant negative curvature, J. Funct. Anal. (2017)
[5] An endpoint version of uniform Sobolev inequalities, Forum Math.(2018) (With Tianyi Ren and Yakun Xi)
[6] Zeros of the deformed exponential function, Adv. Math. (2018) (With Liuquan Wang)
[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] Restriction of toral eigenfunctions to totally geodesic submanifolds, Anal. PDE (2021)(With Xiaoqi Huang)
[9] Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2, Adv. Math. (2021) (With Xing Wang)
[10] Spectral cluster estimates for Schrodinger operators of relativistic type, J. Math. Pure. Appl. (2021) (With Xiaoqi Huang and Yannick Sire)
[11] Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded domain, Adv. Math. (2021) (With Xiaoqi Huang and Yannick Sire)
[12] Pointwise Weyl Laws for Schrodinger operators with singular potentials. Adv. Math. (2023) (With Xiaoqi Huang)
[13] Sharp pointwise Weyl laws for Schrodinger operators with singular potentials on flat tori. Comm. Math. Phys. (2023) (With Xiaoqi Huang)
[14] Sharp local $L^p$ estimates for the Hermite eigenfunctions. Trans. Amer. Math. Soc. (2025) (With Xing Wang)
[1] Sharp Lp estimates and size of nodal sets for generalized Steklov eigenfunctions, preprint arXiv:2301.00095 (With Xiaoqi Huang, Yannick Sire and Xing Wang)
[2] Restriction of Schr¨odinger eigenfunctions to submanifolds, preprint arXiv:2408.01947 (With Xiaoqi Huang, Xing Wang)
[3] Weyl laws for Schr¨odinger operators on compact manifolds with boundary, preprint arXiv:2409.05252 (With Xiaoqi Huang, Xing Wang)
[4] A few sharp estimates of harmonic functions with applications to Steklov eigenfunctions, preprint arXiv:2412.13955 (With Xing Wang)
[5]Strichartz estimates for orthonormal systems on compact manifolds, preprint arXiv:2503.08504 (With Xing Wang and An Zhang)
[6] Lp-Logvinenko-Sereda sets and Lp-Carleson measures on compact manifolds, preprint arXiv:2506.22759 (With Xing Wang and Xiangjin Xu)
[1] National Key R&D Program of China, No. 2024YFA1015300, 2024.12-2029.11, PI
[2] National Natural Science Foundation of China No. 12371097, 2024.01-2027.12, PI
[3] National Natural Science Fund for Excellent Young Scientists, 2021, PI