Professor of Mathematics
Research Interests: Geometric measure theory, partial differential equations, differential geometry
Publications
A structure theory for stable codimension 1 integral varifolds with applications to area minimising hypersurfaces mod 𝑝
– Journal of the American Mathematical Society
(2023)
(doi: 10.1090/jams/1032)
Analysis of singularities of area minimizing currents: planar frequency, branch points of rapid decay, and weak locally uniform approximation
(2023)
(doi: 10.48550/arxiv.2304.10653)
Analysis of singularities of area minimizing currents: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones
(2023)
(doi: 10.48550/arxiv.2304.10272)
Fine properties of branch point singularities: stationary two-valued
graphs and stable minimal hypersurfaces near points of density $< 3$
(2021)
Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density $< 3$
(2021)
(doi: 10.48550/arxiv.2111.12246)
A Structure Theory for Stable Codimension 1 Integral Varifolds with
Applications to Area Minimising Hypersurfaces mod p
(2021)
A Structure Theory for Stable Codimension 1 Integral Varifolds with
Applications to Area Minimising Hypersurfaces mod p
(2021)
A Structure Theory for Stable Codimension 1 Integral Varifolds with Applications to Area Minimising Hypersurfaces mod p
(2021)
(doi: 10.48550/arxiv.2111.11202)
The inhomogeneous Allen--Cahn equation and the existence of prescribed-mean-curvature hypersurfaces
(2020)
(doi: 10.48550/arxiv.2010.05847)
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