https://neckpinch.com/authors/letian-chen/New arXiv papers by Letian Chen, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2212.10798/arxiv:2212.10798Wed, 21 Dec 2022 00:00:00 GMTLetian Chen — We show existence of ancient solutions to the rescaled mean curvature flow starting from a given asymptotically conical self-expander. These are examples of mean curvature flows coming out of cones that are not self-similar. We also show a strong uniqueness theorem when the cone is generic and use it to classify mean curvature flows coming out of generic cones of small entropy in low dimensions.Mean curvature flowAncient solutionsSelf-shrinkers & translatorsWeak & singular flowsStability & uniquenessBoundaries & non-compact https://neckpinch.com/papers/2201.11179/arxiv:2201.11179Wed, 26 Jan 2022 00:00:00 GMTLetian Chen — We show that any integral Brakke flow coming out of a rotationally symmetric double cone with entropy at most two must stay rotationally symmetric for all time, provided the flow is smooth for a short time. We also show the existence of a non-self-similar flow coming out of a double cone with entropy at most two, and give an example of such a flow with a finite time singularity.Mean curvature flowSingularitiesWeak & singular flowsRotational symmetry & warped products