Research

My research interests include Partial differential equations, Kähler Geometry and Gromov-Hausdorff limits.

Publications and preprints:

Since I will soon get my PhD, the homepage moved to: https://zhoushengxuan.github.io/homepage/

6. Shengxuan Zhou, On the Gromov-Hausdorff limits of Tori with Ricci conditions,  preprint, 2023, arXiv:2309.10997.

5. Linsheng Wang and Shengxuan Zhou, Bergman kernels on degenerations,  preprint, 2023, arXiv:2304.01943.

4. Shengxuan Zhou, Peak sections and Bergman kernels on Kähler manifolds with complex hyperbolic cusps,  preprint, 2022, arXiv:2211.04091 (to appear in Math. Annalen). 

3. Ziang Chen, Jianfeng Lu, Yulong Lu, and Shengxuan Zhou, A Regularity Theory for Static Schrödinger Equations on Rd in Spectral Barron Spaces, SIAM J. Math. Anal. 55 (2023), no. 1, 557–570. 

2. Shengxuan Zhou, The asymptotic behaviour of Bergman kernels,  preprint, 2021, arXiv:2112.08893.

1. Shengxuan Zhou, On the convergence rate of Bergman metrics, Peking Math J (2022).