Research

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

Publications and preprints:

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 ZhouThe asymptotic behaviour of Bergman kernels,  preprint, 2021, arXiv:2112.08893.

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