Karen Corrales — Neckpinchhttps://neckpinch.com/authors/karen-corrales/New arXiv papers by Karen Corrales, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Non existence of Type II singularities for embedded and unknotted space curveshttps://neckpinch.com/papers/1605.03100/arxiv:1605.03100Tue, 10 May 2016 00:00:00 GMTKaren Corrales — In this paper we prove that a certain class of embedded unknotted curves in ℝ³ evolving under curve shortening flow do not form singularities Type II before collapsing to a point. Our proof uses tools of the minimal surface theory to study a suitable isoperimetric ratio.Curve shorteningSingularities(Non)collapsingGeometric inequalitiesMinimal & CMC surfaces