https://neckpinch.com/authors/christos-mantoulidis/New arXiv papers by Christos Mantoulidis, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2409.01463arxiv:2409.01463Mon, 02 Sep 2024 00:00:00 GMTOtis Chodosh, Kyeongsu Choi, Christos Mantoulidis, Felix Schulze — Bamler–Kleiner recently proved a multiplicity-one theorem for mean curvature flow in R^3 and combined it with the authors' work on generic mean curvature flows to fully resolve Huisken's genericity conjecture. In this paper we show that a short density-drop theorem plus the Bamler–Kleiner multiplicity-one theorem for tangent flows at the first nongeneric singular time suffice to resolve Huisken's conjecture – without relying on the strict genus drop theorem for one-sided ancient flows previously established by the authors.Mean curvature flowAncient solutionsSingularities https://arxiv.org/abs/2309.03856arxiv:2309.03856Thu, 07 Sep 2023 00:00:00 GMTOtis Chodosh, Christos Mantoulidis, Felix Schulze — We prove that the mean curvature flow of a generic closed embedded hypersurface in ℝ⁴ or ℝ⁵ with entropy ≤ 2, or with entropy ≤ λ(S¹) if in ℝ⁶, encounters only generic singularities.Mean curvature flowSingularities