Weixia Zhu
Personal Information
Email：weixia.zhu@univie.ac.at
Phone：+43 1 4277 9803272
Office：06.136
Address：Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
Research Interests
My research interests lie in Several Complex Variables and Cauchy-Riemann Geometry, with a focus on the spectral theory of partial differential operators, specifically spectral stability under structural deformations, heat kernel asymptotics, CR embeddability and its stability, and CR transversality problems.
Publications
Huang X, Zhu W. Transversality of holomorphic maps into hyperquadrics. Mathematische Annalen. 2025. doi: 10.1007/s00208-025-03134-5
Fu S, Jacobowitz H, Zhu W. Spectral stability of the Kohn Laplacian under perturbations of the boundary. J. Math. Anal. Appl. 2024 Jul 15;535(2):128129. doi: 10.1016/j.jmaa.2024.128129
Hsiao CY, Zhu W. Heat kernel asymptotics for Kohn Laplacians on CR manifolds. Journal of Functional Analysis. 2023 Jan 15;284(2):109755. doi: 10.1016/j.jfa.2022.109755
Fu S, Zhu W. Spectral Stability of the $\overline{\partial}$-Neumann Laplacian: Domain Perturbations. Journal of Geometric Analysis. 2022 Feb;32(2):57. doi: 10.1007/s12220-021-00769-z
Fu S, Qiu C, Zhu W. Spectral Stability of the $\overline{\partial}$-Neumann Laplacian: The Kohn-Nirenberg Elliptic Regularization. Journal of Geometric Analysis. 2021 Apr;31(4):3968-3987. doi: 10.1007/s12220-020-00421-2