Research Interests: Geometric Analysis
Supervisor: Professor Neshan Wickramasekera
Publications
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 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)
The Structure of Stable Codimension One Integral Varifolds near
Classical Cones of Density $Q+1/2$
(2022)
Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with
Bounded Index
(2022)
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