I am currently working with Prof. Allan Greenleaf and Prof. Alex Iosevich. I am interested in solving problems motivated by physical science and data science, where I use techniques from Fourier/harmonic analysis, PDE, probability and number theory. Recently, I am working on problems related to the spectral properties of Laplacian, fractional Laplacian, and the Schrodinger operators.

- 2019, Ph.D. in Mathematics , Johns Hopkins Univerity, Advisor: J. J. Sylvester Professor Christopher D. Sogge
- 2018, M.S.E. in Applied Mathematics and Statistics, Johns Hopkins Univerity
- 2015, M.A. in Mathematics, Johns Hopkins Univerity
- 2014, B.S. in Mathematics, Zhejiang University

- Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2, submitted. (With Xing Wang)
- L^p eigenfunction bounds for fractional Schrodinger operators on manifolds, submitted. (With Xiaoqi Huang and Yannick Sire)
- On the identifiability of interaction functions in systems of interacting particles, submitted. (With Zhongyang Li, Fei Lu, Mauro Maggioni, Sui Tang)
- Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded Euclidean domain, submitted. (With Xiaoqi Huang and Yannick Sire)
- Restriction of toral eigenfunctions to totally geodesic submanifolds, to appear in
**Analysis & PDE**. (With Xiaoqi Huang) - Zeros of the deformed exponential function,
**Advances in Mathematics**332(2018): 311-348. (With Liuquan Wang) -
An endpoint version of uniform Sobolev inequalities ,
**Forum Mathematicum**Vol. 30. No. 5. De Gruyter, 2018. (With Tianyi Ren and Yakun Xi) - Improved critical eigenfunction restriction estimates on Riemannian manifolds with constant negative curvature ,
**Journal of Functional Analysis**272.11(2017):4642-4670. - Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem ,
**Cambridge Journal of Mathematics**5.1(2017):123-151. (With Chris Sogge and Yakun Xi) - Improved critical eigenfuction restriction estimates on Riemannian surfaces with nonpositve curvature,
**Communications in Mathematical Physics**350.3(2017):1299-1325. (With Yakun Xi) - An asymptotic formula for the zeros of the deformed exponential function ,
**J. Math. Anal. Appl.**441.2(2016):565-573.

- Xiaoqi Huang, Johns Hopkins University
- Zhongyang Li , University of Connecticut
- Fei Lu, Johns Hopkins University
- Mauro Maggioni, Johns Hopkins University
- Simon Marshall, University of Wisconsin-Madison
- Yannick Sire, Johns Hopkins University
- Christopher D. Sogge, Johns Hopkins University
- Sui Tang, Johns Hopkins University
- Liuquan Wang, Wuhan University
- Xing Wang, Wayne State University
- Yakun Xi, University of Rochester