Professor of Mathematics
Research Interests: Geometric measure theory, partial differential equations, differential geometry
Publications
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
– Advances in Mathematics
(2019)
352,
133
(DOI: 10.1016/j.aim.2019.05.023)
Regularity and compactness for stable codimension $1$ CMC varifolds
– Current Developments in Mathematics
(2017)
2017,
87
(DOI: 10.4310/cdm.2017.v2017.n1.a3)
A Frequency Function and Singular Set Bounds for Branched Minimal Immersions
– Communications on Pure and Applied Mathematics
(2016)
69,
1213
(DOI: 10.1002/cpa.21642)
The Blow Up Method for Brakke Flows: Networks Near Triple Junctions
– Archive for Rational Mechanics and Analysis
(2016)
221,
1161
(DOI: 10.1007/s00205-016-0981-3)
Regularity of stable minimal hypersurfaces: Recent advances in the theory and applications
– Journal of Differential Geometry
(2014)
19,
231
(DOI: 10.4310/sdg.2014.v19.n1.a9)
A general regularity theory for stable codimension 1 integral varifolds
– Annals of Mathematics
(2014)
179,
843
(DOI: 10.4007/annals.2014.179.3.2)
Fine properties of branch point singularities: Two-valued harmonic
functions
– arXiv:1311.0923
A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
– Calculus of Variations and Partial Differential Equations
(2014)
51,
799
(DOI: 10.1007/s00526-013-0695-4)
Stable phase interfaces in the van der Waals-Cahn-Hilliard theory
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2011)
668,
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
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