Hang Xu
APM 6305 

Winter 2022: Math 142B, Introduction to Analysis II.
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), to
appear in Comm. Anal. Geom., 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), to appear in Indiana Univ. Math. J., arXivpdf.
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