Welcome to my homepage! I am a PhD candidate in the Math Department at JHU. My advisor is Professor Christopher Sogge. I am expected to graduate in May 2019. Currently, I am on the job market. I can be reached via

Office: 211 Krieger Hall

Department of Mathematics

Johns Hopkins University

3400 N. Charles Street

Baltimore, MD 21218

czhang67@jhu.edu

My main field of research is analysis, where I like questions combining PDEs, geometry, probability, spectral theory, number theory and harmonic analysis.

curriculum vitae

Fall 2018: Teaching Assistant for Math 415 (Honors Analysis I)

Office Hours: Th 9-11

- Zeros of the
deformed exponential function,
**Advances in Mathematics**332 (2018): 311-348 (with L. Wang) - An endpoint version of uniform Sobolev inequalities,
**Forum Mathematicum**(with T. Ren and Y. Xi) - Improved critical eigenfunction restriction estimates on Riemannian manifolds with constant negative curvature,
**Journal of Functional Analysis**272, no. 11 (2017): 4642-4670. - Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem,
**Cambridge Journal of Mathematics**5, no. 1 (2017): 123-151. (with C. Sogge and Y. Xi) - Improved critical eigenfunction restriction estimates on Riemannian
surfaces with nonpositive curvature,
**Communications in Mathematical Physics**350, no. 3 (2017): 1299-1325. (with Y. Xi) - An asymptotic formula for the zeros of the deformed exponential function,
**J. Math. Anal. Appl.**441, no. 2 (2016): 565-573. - Sharp eigenfunction restriction estimates and Hilbert transforms along curves, in preparation.