(Update on 06/24/26 14:47 CST.)
- New preprint: Spectral positive mass theorem for asymptotically hyperbolic 3-manifolds with toroidal infinity (with Yimin Chen, Juncheol Pyo). arXiv.
- 07 Apr, 2026, Some rigidity theorems for spectral curvature bounds, (with Yukai Sun), arXiv.
- 28 Feb, 2026, Band width estimates with lower spectral curvature bound. (with Yukai Sun). arXiv. Accepted in Calc. Var. PDE.
- 28 Jan, 2026, Scalar curvature comparison of rotationally symmetric sets (see arXiv). Accepted in Analysis and PDE.
- 30 Dec 2025, Initial data set rigidity results for polyhedra (see arXiv) accepted in Trans. AMS.
- New preprint on the Dihedral rigidity of spectral scalar curvature, see here. (time: 01:20, 23 Oct KST)
- A new version available here of tilted spacetime positive mass theorem.