Hang Xu
APM 6305 

Winter
2020: Math
142A, Introduction to Analysis I.
Fall
2019: Math 20C, Calculus
& Analytic Geometry For Science & Engineering.
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), submitted, arXivpdf.
8.
On a property of Bergman kernels when the Kahler potential
is analytic (with Hamid Hezari), submitted, arXivpdf.
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