Hang Xu
APM 6305 

Fall 2021: Math 18, Linear Algebra.
Fall 2021: Math 120A, Applied
Complex analysis I.
1.
Asymptotic Expansion of the Bergman Kernel via Perturbation
of the BargmannFock Model (with Hamid Hezari, Casey Kelleher and Shoo Seto). Journal of Geometric
Analysis (2016) 26: 2602, arXivpdf.
2. On
instability of the Nikodym maximal function bounds
over Riemannian manifolds, (with Christopher Sogge and Yakun Xi), Journal of Geometric Analysis (2018) 28: 2886, arXivpdf.
3.
Offdiagonal asymptotic properties of Bergman kernels
associated to analytic Kahler potentials (with Hamid Hezari
and Zhiqin Lu), IMRN, arXivpdf.
4.
Quantitative upper bounds for Bergman Kernels associated to smooth
Kahler potentials (with Hamid Hezari), to appear in
Math. Research Letters, arXivpdf.
5.
Analysis
of The Laplacian on the moduli space of polarized CalabiYau
manifolds (with Zhiqin Lu), to appear in HopkinsMaryland
Complex Geometry Seminar proceedings, Contemp. Math., Amer. Math. Soc.
6.
Asymptotic properties of Bergman kernels for potentials
with Gevrey regularity, arXivpdf.
7.
Upper bounds for eigenvalues of conformal Laplacian on
closed Riemannian manifolds (with Yannick Sire), to appear in Commun. Contemp. Math., arXivpdf.
8.
On a property of Bergman kernels when the Kahler potential
is analytic (with Hamid Hezari), to appear in Pacific
J. Math., arXivpdf.
9.
Algebraicity of the Bergman kernel (with Peter Ebenfelt and Ming Xiao), submitted, arXivpdf.
10. The Dirichlet principle for
the complex kHessian functional (with Yi Wang), submitted, arXivpdf.
11. On the classification of
normal Stein spaces and finite ball quotients with BergmanEinstein metrics (with
Peter Ebenfelt and Ming Xiao), IMRN, arXivpdf.
12. Algebraic degree of the
Bergman kernel (with Peter Ebenfelt and Ming Xiao),
in preprint.
UCSD Mathematics Department Home Page