Improved regularity for minimizing capillary hypersurfaces, joint with Otis Chodosh and Nick Edelen. arXiv
Stable minimal hypersurfaces in R^5, joint with Otis Chodosh, Douglas Stryker and Paul Minter, submitted. arXiv
Attaching faces of positive scalar curvature manifolds with corners, joint with Alessandro Carlotto, submitted. arXiv
A note about isotopy and concordance of positive scalar curvature metrics on compact manifolds with boundary, joint with Alessandro Carlotto, submitted. arXiv
Volume growth of 3-manifolds with scalar curvature lower bounds, joint with Otis Chodosh and Douglas Stryker, to appear in Proc. Amer. Math Soc. arXiv
Decomposing 4-manifolds with positive scalar curvature, joint with Richard Bamler and Christos Mantoulidis, to appear in Adv. Math. . arXiv
Stable anisotropic minimal hypersurfaces in 𝗥⁴, joint with Otis Chodosh, Forum of Mathematics, Pi, 11, E3. arXiv
Complete stable minimal hypersurfaces in positively curved 4-manifolds, joint with Otis Chodosh and Douglas Stryker, to appear in J. Eur. Math. Soc. arXiv
Min-max theory for capillary surfaces, joint with Xin Zhou and Jonathan Zhu, submitted. arXiv
Stable minimal hypersurfaces in 𝗥⁴, joint with Otis Chodosh, to appear in Acta Math. arXiv
Constrained deformations of positive scalar curvature metrics, II, joint with Alessandro Carlotto, to appear in Comm. Pure Appl. Math. arXiv
Metrics with λ₁(-Δ+kR)≥0 and flexibility in the Riemannian Penrose Inequality, joint with Christos Mantoulidis, to appear in Comm. Math. Phys. arXiv
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions, joint with Otis Chodosh and Yevgeny Liokumovich, to appear in Geom. Topo. arXiv
Generalized soap bubbles and the topology of manifolds with positive scalar curvature, joint with Otis Chodosh, to appear in Ann. Math. arXiv
Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces, SIGMA 16 (2020), 099. Contribution to the Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday. arXiv
Regularity of free boundary minimal surfaces in locally polyhedral domains, joint with Nick Edelen, Comm. Pure Appl. Math., 75: 970-1031 (2022). arXiv
The dihedral rigidity conjecture for n-prisms , accepted by J. Differential Geom. arXiv
Constrained deformations of positive scalar curvature metrics , joint with A. Carlotto, accepted by J. Differential Geom. arXiv
Singularity and comparison theorems for metrics with positive scalar curvature , Ph.D. Thesis, Stanford University. PDF file. Video of a talk at the Institute for Advanced Study.
A polyhedron comparison theorem for three-manifolds with positive scalar curvature, Invent. Math. 219, 1-37 (2020) arXiv
A mistake in Lemma 3.1 requires an additional assumption for Theorem 1.4 and Theorem 1.5. See correction.
Positive scalar curvature and skeleton singularities, joint with C. Mantoulidis, Math. Ann. (2019) 374: 99. arXiv
(A note fixing some imprecisions in Lemma 6.1. Thank Luen-Fai Tam for pointing them out!)
Index and topology of minimal hypersurfaces in 𝗥ⁿ, Calc. Var. (2017) 56:180. arXiv
