Professor of Mathematics
Research Interests: Geometric measure theory, partial differential equations, differential geometry
Publications
The inhomogeneous Allen--Cahn equation and the existence of prescribed-mean-curvature hypersurfaces
(2020)
(doi: 10.48550/arxiv.2010.05847)
Stable prescribed-mean-curvature integral varifolds of codimension 1: regularity and compactness
(2020)
Regularity of minimal and CMC stable hypersurfaces: a brief overview
– Advanced Studies in Pure Mathematics, Vol 85
(2020)
85,
491
(doi: 10.2969/aspm/08510491)
Stable prescribed-mean-curvature integral varifolds of codimension 1: regularity and compactness
(2019)
(doi: 10.48550/arxiv.1902.09669)
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
– Advances in Mathematics
(2018)
352,
133
(doi: 10.1016/j.aim.2019.05.023)
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
(2018)
(doi: 10.48550/arxiv.1802.08928)
Stable CMC integral varifolds of codimension $1$: regularity and
compactness
(2018)
Stable CMC integral varifolds of codimension $1$: regularity and compactness
(2018)
(doi: 10.48550/arxiv.1802.00377)
Fine properties of branch point singularities: Dirichlet energy
minimizing multi-valued functions
(2017)
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