Peter McGrath

collaborators

2 papers

math.DG2026

Nonorientable Minimal Surfaces Embedded in the Round $4$ -sphere

Mikhail Karpukhin, Robert Kusner, Peter McGrath +1

We show that every closed, nonorientable surface can be minimally embedded in $S^{4}$ , providing in particular the first known examples of embedded, nonorientable minimal su…

math.DG2025

Large topology asymptotics for spectrally extremal minimal surfaces in $B^{3}$ and $S^{3}$

Mikhail Karpukhin, Peter McGrath, Daniel Stern

In recent work with Kusner, we developed a method, based on the equivariant optimization of Laplace and Steklov eigenvalues, for producing minimal surfaces of prescribed topology i…

Nonorientable Minimal Surfaces Embedded in the Round 4-sphere

Large topology asymptotics for spectrally extremal minimal surfaces in B3 and S3

Nonorientable Minimal Surfaces Embedded in the Round $4$ -sphere

Large topology asymptotics for spectrally extremal minimal surfaces in $B^{3}$ and $S^{3}$