Publications

The Singular Strata of a Free-Boundary problem for harmonic measure. Analysis and PDEs. Accepted 2022. arXiv:1904.09361
(with Max Goering) Wild Examples of Rectifiable Sets. Annales Academiæ Scientiarum Fennicæ, 46(1), 553-570., 2021 arxiv:1905.01763
Unique Continuation on Convex Domains. Revista Matemática Iberoamericana, 39 (2023), no. 1, p. 1–28 arXiv:1905.02640
(with Matthew Badger) Subsets of rectifiable curves in Banach spaces I: sharp exponents in traveling salesman theorems. Illinois J. Math. 67 (2023), no. 2, 203–274. arXiv:2002.11878v3
(with Raghavendra Venkatraman) Quantitative stability for the Heisenberg–Pauli–Weyl inequality. Nonlinear Analysis, Volume 202 (2021), 112147. arXiv:2007.07111
One-phase free-boundary problems with degeneracy. Calculus of Variations and Partial Differential Equations. Accepted (2023) arXiv: 2010.06726
(with Matthew Badger) Subsets of rectifiable curves in Banach spaces II: universal estimates for almost flat arcs. Illinois J. Math. 67 (2023), no. 2, 275–331. arXiv:2208.10288
Conditions for Eliminating Cusps in One-Phase Free Boundary Problems with Degeneracy. Accepted to Taiwan Journal of Mathematics. (2021) arXiv: 2111.03150
Non-existence of cusps for a Free-boundary Problem for Water Waves. Accepted to Interfaces and Free Boundaries. Preprint (2022), arXiv: 2208.01873

(with Lisa Naples) Non-existence of cusps for degenerate Alt-Caffarelli functionals. Preprint (2022). arXiv: 2202.00616
(with Nicolau S. Aiex and Paul Minter) Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with Bounded Index. Preprint (2022) arXiv: 2209.11992
(with Kuan Ting Yeh) Structure of measures for which Ehrhard symmetrization is perimeter non-increasing. Preprint (2023). arXiv: 2310.00292