https://neckpinch.com/authors/a-cogo/New arXiv papers by A. Cogo, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2310.08301/arxiv:2310.08301Thu, 12 Oct 2023 00:00:00 GMTA. Cogo, S. Lynch, O. Vičánek Martínez — We address the classification of ancient solutions to fully nonlinear curvature flows for hypersurfaces. Under natural conditions on the speed of motion we classify ancient solutions which are convex, noncollapsing, uniformly two-convex and noncompact. There are exactly two possibilities – every such solution is either a self-similarly shrinking cylinder, or else is a rotationally symmetric translating soliton. For a large class of flows this yields a complete classification of the blow-up limits that can arise at a singularity of a solution which is compact, embedded and two-convex.Other curvature flowsAncient solutionsSelf-shrinkers & translatorsSingularities(Non)collapsingBoundaries & non-compactRotational symmetry & warped products