Research Interests: Geometric Analysis, Geometric Measure Theory
Publications
A Campanato Regularity Theory for Multi-Valued Functions with Applications to Minimal Surface Regularity Theory
– Journal of Functional Analysis
(2025)
289,
110908
(doi: 10.1016/j.jfa.2025.110908)
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces
– Archive for Rational Mechanics and Analysis
(2024)
248,
121
(doi: 10.1007/s00205-024-02071-y)
Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with Bounded Index
– The Journal of Geometric Analysis
(2024)
34,
372
(doi: 10.1007/s12220-024-01822-3)
The structure of stable codimension one integral varifolds near classical cones of density $Q+1/2$
– Calculus of Variations and Partial Differential Equations
(2023)
63,
5
(doi: 10.1007/s00526-023-02603-6)
A structure theory for stable codimension 1 integral varifolds with applications to area minimising hypersurfaces mod 𝑝
– Journal of the American Mathematical Society
(2023)
37,
861
(doi: 10.1090/jams/1032)
The Fine Structure of the Singular Set of Area-Minimizing Integral
Currents III: Frequency 1 Flat Singular Points and $\mathcal{H}^{m-2}$-a.e.
Uniqueness of Tangent Cones
(2023)
On the Structure and Regularity of Stable Branched Minimal Hypersurfaces
(2022)
(doi: 10.17863/CAM.85835)
A Structure Theory for Stable Codimension 1 Integral Varifolds with
Applications to Area Minimising Hypersurfaces mod p
(2021)
- 1 of 2