Research
Complex Differential Geometry
Asymptotic Expansion of the Bergman Kernel via Pertubation of the Bargmann-Fock Model, joint with H. Hezari, C. Kelleher, and H. Xu
First eigenvalue of the p-Laplacian under integral curvature condition, joint with G. Wei, Nonlinear Anal. 163 (2017), 60 -- 70
Sharp Fundamental Gap Estimate on Convex Domains of Sphere, joint with L. Wang and G. Wei, J. Differential Geom. 112 (2019), no. 2, 347--389
Fundamental Gap Estimate for Convex Domains on Sphere -- The case n=2, joint with X. Dai and G. Wei, to appear in Comm. in Analysis and Geometry
First eigenvalue of the p-Laplacian on Kahler manifolds, joint with C. Blacker, Proc. Amer. Math. Soc. 147 (2019), no. 5, 2197--2206
Fundamental Gap Comparison, joint with X. Dai, G. Wei, Surveys in Geometric Analysis 2018, pp 1-16, Science Press Beijing, Beijing, 2019. ISBN: 9787030611123
Zhong-Yang type eigenvalue estimate with integral curvature condition, joint with X. Ramov-Olive, G. Wei, Q. Zhang, Math. Z. (2019). https://doi.org/10.1007/s00209-019-02448-w
The first nonzero eigenvalue of the p-laplacian on differential forms
Notes for talk on p-Laplacian
Proceedings article for Analysis and geometry in Several Complex Variables Conference at Texas A & M at Qatar on the Bergman Kernel Asymptotics
On the Asymptotic Expansion of the Bergman Kernel (PhD Thesis)