* 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