** Professor of Mathematics **

*Research Interests: *Geometric measure theory, partial differential equations, differential geometry

## Publications

A structure theory for stable codimension 1 integral varifolds with applications to area minimising hypersurfaces mod p p

– Journal of the American Mathematical Society

(2023)

37,

861

(doi: 10.1090/jams/1032)

Analysis of singularities of area minimizing currents: planar frequency, branch points of rapid decay, and weak locally uniform approximation

(2023)

(doi: 10.48550/arxiv.2304.10653)

Analysis of singularities of area minimizing currents: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones

(2023)

(doi: 10.48550/arxiv.2304.10272)

Fine properties of branch point singularities: stationary two-valued
graphs and stable minimal hypersurfaces near points of density $< 3$

(2021)

(2021)

(doi: 10.48550/arxiv.2111.12246)

A Structure Theory for Stable Codimension 1 Integral Varifolds with
Applications to Area Minimising Hypersurfaces mod p

(2021)

(2021)

(2021)

(doi: 10.48550/arxiv.2111.11202)

The inhomogeneous Allen--Cahn equation and the existence of prescribed-mean-curvature hypersurfaces

(2020)

(doi: 10.48550/arxiv.2010.05847)

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