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

Spectrum of Laplacian

• First eigenvalue of the p-Laplacian under integral curvature condition, joint with G. Wei

• Sharp Fundamental Gap Estimate on Convex Domains of Sphere, joint with L. Wang and G. Wei

• Fundamental Gap Estimate for Convex Domains on Sphere -- The case n=2, joint with X. Dai and G. Wei

Miscellaneous

• 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)