Professor of Mathematics
Research Interests: Geometric measure theory, partial differential equations, differential geometry
Publications
Fine properties of branch point singularities: Two-valued harmonic
functions
– arXiv:1311.0923
(2013)
A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
(2013)
(doi: 10.48550/arxiv.1310.4031)
Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
– Journal für die reine und angewandte Mathematik
(2011)
668,
191
(doi: 10.1515/crelle.2011.134)
A frequency function and singular set bounds for branched minimal immersions
(2010)
(doi: 10.48550/arxiv.1012.5028)
Stable phase interfaces in the van der Waals--Cahn--Hilliard theory
(2010)
(doi: 10.48550/arxiv.1007.2060)
A general regularity theory for stable codimension 1 integral varifolds
(2009)
(doi: 10.48550/arxiv.0911.4883)
A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
– Journal of Differential Geometry
(2008)
80,
79
(doi: 10.4310/jdg/1217361067)
A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
(2007)
(doi: 10.48550/arxiv.0710.1740)
Existence and Regularity of Stable Branched Minimal Hypersurfaces
– Pure and Applied Mathematics Quarterly
(2007)
3,
569
(doi: 10.4310/pamq.2007.v3.n2.a8)
Stable branched minimal immersions with prescribed boundary
– Journal of Differential Geometry
(2007)
75,
143
(doi: 10.4310/jdg/1175266256)
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