Welcome to CHENG ZHANG's Webpage
Address:
Cheng Zhang
211 Krieger Hall
3400 N. Charles Street
Baltimore, MD 21218
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Email: czhang67@jhu.edu
I am a PhD student in mathematics. My advisor is Christopher Sogge. I received my undergraduate degree in 2014 from Zhejiang University, Hangzhou, China. Here is my CV.
Research Interest:
Harmonic analysis, PDEs,
with special interests in eigenfunctions of the Laplace-Baltrami
operator,
oscillatory integrals, elliptic PDEs, and analysis
problems from physics and applied math.
Publications and preprints:
(with L. Wang) Zeros of the deformed exponential function, submitted
(with T. Ren and Y. Xi) An endpoint version of uniform resolvent estimate for the Laplacian, submitted
Improved critical eigenfunction restriction estimates on Riemannian manifolds with constant negative curvature, J. Funct. Anal. 272, no. 11 (2017): 4642-4670.
(with C. Sogge and Y. Xi) Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem, Cambridge J. Math. 5, no. 1 (2017): 123-151.
(with Y. Xi) Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature, Comm. Math. Physics 350, no. 3 (2017): 1299-1325.
An asymptotic formula for the zeros of the deformed exponential function, J. Math. Anal. Appl. 441, no. 2 (2016): 565-573.