7 citations · 7 across the 6 of their papers we have counts for
6 papers
Entire area-minimizing surfaces in of density two are quadratic or planar
Nick Edelen, Luis Atzin Franco Reyna, Paul Minter
We classify any entire area-minimizing surface with density at infinity as either planar, or the zero set of a quadratic holomorphic polynomial inside…
Minimal Surfaces with Stratified Branching Sets
Federico Franceschini, Rafe Mazzeo, Paul Minter
Inspired by the Taubes-Wu construction of two-valued harmonic functions by the use of symmetry, we construct minimal surfaces with stratified branching sets as…
Quantitative Estimates on the Topology and Singular Set of Prescribed Mean Curvature Hypersurfaces
Nicolau S. Aiex, Sean McCurdy, Paul Minter
We establish quantitative topological and singularity properties for (certain) prescribed mean curvature (PMC) hypersurfaces in Riemannian manifolds . Indeed, if…
Entire area-minimizing surfaces in R^4 are algebraic
Nick Edelen, Luis Atzin Franco Reyna, Paul Minter
We classify entire 2-dimensional area-minimizing or stable surfaces in R^4 with quadratic area growth as algebraic, cut out by a finite union of holomorphic polynomials whose colle…
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces
Nick Edelen, Paul Minter
We establish uniqueness and regularity results for tangent cones (at a point or at infinity) with isolated singularities arising from a given immersed stable minimal hypersurface w…
Stable minimal hypersurfaces in
Otis Chodosh, Chao Li, Paul Minter +1
We show that a complete, two-sided, stable minimal hypersurface in is flat.