Stephen Cameron — Neckpinchhttps://neckpinch.com/authors/stephen-cameron/New arXiv papers by Stephen Cameron, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Eventual Regularization of Fractional Mean Curvature Flowhttps://neckpinch.com/papers/1905.09184/arxiv:1905.09184Wed, 22 May 2019 00:00:00 GMTStephen Cameron — We show that any open set that is a finite distance away from a Lipschitz subgraph will become a Lipschitz subgraph after flowing under fractional mean curvature flow for a finite, universal time. Our proof is quantitative and inherently nonlocal, as the corresponding statement is false for classical mean curvature flow. This is the first regularizing effect proven for weak solutions to nonlocal curvature flow.Mean curvature flowOther curvature flowsAnisotropic & nonlocal flowsWeak & singular flows