Cheng Zhang

  
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

Research  

  1. Zeros of the deformed exponential function, Advances in Mathematics 332 (2018): 311-348 (with L. Wang)
  2. An endpoint version of uniform Sobolev inequalities, Forum Mathematicum (with T. Ren and Y. Xi)
  3. Improved critical eigenfunction restriction estimates on Riemannian manifolds with constant negative curvature, Journal of Functional Analysis 272, no. 11 (2017): 4642-4670.
  4. 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)
  5. Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature, Communications in Mathematical Physics 350, no. 3 (2017): 1299-1325. (with Y. Xi)
  6. An asymptotic formula for the zeros of the deformed exponential function, J. Math. Anal. Appl. 441, no. 2 (2016): 565-573.
  7. Sharp eigenfunction restriction estimates and Hilbert transforms along curves, in preparation.