Paul Minter

collaborators

4 papers

math.DG2026

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity

Brian Krummel, Paul Minter, Neshan Wickramasekera

Suppose $V$ is a class of stationary integral $n$ -varifolds in $B_{2}^{n + k} (0) \subset R^{n + k}$ which is closed under weak limits, homotheties, rotations, and disjoi…

math.DG2026

An Optimal Regularity Theory for Immersed Stable Minimal Hypersurfaces with Small Singular Set

Paul Minter, Zhengyi Xiao

We show that if $M^{n}$ is a properly immersed, two-sided, stable minimal hypersurface in $B_{1}^{n + 1} (0) ∖ S$ , where $S$ is closed with $H^{n - 2} (S) = 0$ , then $\text{di…

math.DG2026

Area minimising hypersurfaces mod $p$ do not admit immersed branch points

Paul Minter, Sidney Stanbury

We show that area minimising hypersurfaces mod $p$ do not admit immersed branch points, namely branch points about which all classical singularities are immersed. Furthermore, we s…

math.DG2025

On the Nature of Stationary Integral Varifolds near Multiplicity 2 Planes

Spencer Becker-Kahn, Paul Minter, Neshan Wickramasekera

We study stationary integral $n$ -varifolds $V$ in the unit ball $B_{1} (0) \subset R^{n + k}$ . Allard's regularity theorem establishes the existence of $I^µ = I^µ (n, k) \in (0, 1)$ for…

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity

An Optimal Regularity Theory for Immersed Stable Minimal Hypersurfaces with Small Singular Set

Area minimising hypersurfaces mod p do not admit immersed branch points

On the Nature of Stationary Integral Varifolds near Multiplicity 2 Planes

Area minimising hypersurfaces mod $p$ do not admit immersed branch points