Publications

You can also find my articles on my Google Scholar profile.

Publications and Preprints

Rigidity and flexibility under positive isotropic curvature (joint with Tsz-Kiu Aaron Chow). Preprint. arXiv.
Minimal Two-Spheres and Manifolds with Positive Isotropic Curvature (joint with Tsz-Kiu Aaron Chow). Preprint. arXiv.
On a Variant of the Penrose Conjecture (joint with Sven Hirsch). Submitted. arXiv.
On the spacetime positive energy theorem in arbitrary dimension (joint with Simon Brendle). Submitted. PDF. arXiv.
A dimension descent scheme for the positive mass theorem in arbitrary dimension (joint with Simon Brendle). Submitted. PDF. arXiv.
Area-minimizing capillary cones (joint with Benjy Firester and Raphael Tsiamis). Preprint. arXiv.
Stability inequalities for one-phase cones (joint with Benjy Firester and Raphael Tsiamis). Preprint. arXiv.
Uniqueness of Cylindrical Tangent Cones \(C_{p,q}\times\mathbb{R}\) (joint with Benjy Firester and Raphael Tsiamis). Calc. Var. 65, 165 (2026). DOI.
Effective volume growth of three-manifolds with positive scalar curvature. Proc. Amer. Math. Soc. 154 (2026), no. 1, 329–337. DOI.
A sharp estimate for fill-ins with scalar curvature bounded from below (joint with Simon Brendle and Raphael Tsiamis). Submitted. arXiv.
Rigidity Results Involving Stabilized Scalar Curvature. Submitted. arXiv.
On Gromov's rigidity theorem for polytopes with acute angles (joint with Simon Brendle). J. reine angew. Math. (2025). DOI.
Fill-Ins of Tori with Scalar Curvature Bounded from Below. Submitted. arXiv.
Scalar curvature rigidity of warped product metrics (joint with Christian Bär, Bernhard Hanke, and Simon Brendle). SIGMA 20 (2024), 035, 26 pages. Contribution to the Special Issue on Differential Geometry Inspired by Mathematical Physics in honor of Jean-Pierre Bourguignon for his 75th birthday. DOI.

Expository

Scalar Curvature Rigidity of Polytopes. Oberwolfach Report 9/2024.