Professor of Mathematics
Research Interests: Geometric measure theory, partial differential equations, differential geometry
Publications
A general regularity theory for stable codimension 1 integral varifolds
– Annals of Mathematics
(2014)
179,
843
(doi: 10.4007/annals.2014.179.3.2)
A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
– Calculus of Variations and Partial Differential Equations
(2013)
51,
799
(doi: 10.1007/s00526-013-0695-4)
Fine properties of branch point singularities: Two-valued harmonic
functions
– arXiv:1311.0923
(2013)
Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2011)
2012,
191
(doi: 10.1515/CRELLE.2011.134)
A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
– J DIFFER GEOM
(2008)
80,
79
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
On the singularities and a Bernstein property of immersed stable minimal hypersurfaces
– Calculus of Variations
(2005)
22,
1
(doi: 10.1007/s00526-004-0263-z)
A rigidity theorem for stable minimal hypercones
– J DIFFER GEOM
(2004)
68,
433
Regularity of minimal and CMC stable hypersurfaces: a brief overview
– Advanced Studies in Pure Mathematics, Vol 85
85,
491
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