I'm broadly interested in differential geometry and partial differential equations, including

• Complex and Kähler geometry,  moduli spaces of special geometries

• Fine structure of singularities in geometric PDEs

• Calculus of variations,  geometric measure theory

• Mathematical physics,  general relativity

• A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces,  with Jiangtao Li and Zuo Lin,  Preprint arXiv:2501.17146

• Symmetry of solutions to a class of geometric equations for hypersurfaces in $\mathbb{R}^{n+1}$,  with Shibing Chen and Qi-Rui Li,  Journal of Differential Equations 401 (2024) 671–682

• Symmetry for a class of geometric equations, and some geometric inequalities via ABP method,  Thesis

• Asymptotically flat manifolds and positive mass theorem,  Thesis