https://neckpinch.com/authors/elena-mader-baumdicker/New arXiv papers by Elena Mäder-Baumdicker, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2207.01123/arxiv:2207.01123Sun, 03 Jul 2022 00:00:00 GMTBen Lambert, Elena Mäder-Baumdicker — We obtain estimates on nonlocal quantities appearing in the Volume Preserving Mean Curvature Flow (VPMCF) in the closed, Euclidean setting. As a result we demonstrate that blowups of finite time singularities of VPMCF are ancient solutions to Mean Curvature Flow (MCF), prove that monotonicity methods may always be applied at finite times and obtain information on the asymptotics of the flow.Mean curvature flowVolume-preserving & constrained flowsAncient solutionsSingularities https://neckpinch.com/papers/2206.14060/arxiv:2206.14060Tue, 28 Jun 2022 00:00:00 GMTBen Lambert, Elena Mäder-Baumdicker — We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow techniques for mean convex embedded flows such as noncollapsing and gradient estimates also hold in this setting. We also indicate the necessary modifications to the work of Brendle–Huisken to allow for mean curvature flow with surgery for the Alexandrov immersed, 2-dimensional setting.Mean curvature flowSurgery(Non)collapsing