John Head — Neckpinchhttps://neckpinch.com/authors/john-head/New arXiv papers by John Head, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Singularity formation in axially symmetric mean curvature flow with Neumann boundaryhttps://neckpinch.com/papers/1908.02871/arxiv:1908.02871Wed, 07 Aug 2019 00:00:00 GMTJohn Head, Sevvandi Kandanaarachchi — We study mean curvature flow of smooth, axially symmetric surfaces in ℝ³ with Neumann boundary data. We show that all singularities at the first singular time must be of type I.Mean curvature flowSingularitiesFree boundary & capillaryRotational symmetry & warped products