Professor of Mathematics
Research Interests: Geometric measure theory, partial differential equations, differential geometry
Publications
Fine properties of branch point singularities: stationary two-valued
graphs and stable minimal hypersurfaces near points of density $< 3$
(2021)
A Structure Theory for Stable Codimension 1 Integral Varifolds with
Applications to Area Minimising Hypersurfaces mod p
(2021)
Stable prescribed-mean-curvature integral varifolds of codimension 1: regularity and compactness
(2019)
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
– Advances in Mathematics
(2018)
352,
133
(DOI: 10.1016/j.aim.2019.05.023)
Stable CMC integral varifolds of codimension $1$: regularity and
compactness
(2018)
Fine properties of branch point singularities: Dirichlet energy
minimizing multi-valued functions
(2017)
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
– Surveys in Differential Geometry
(2015)
19,
231
(DOI: 10.4310/sdg.2014.v19.n1.a9)
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