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math.DG2026
The Genus-Decreasing Property of Mean Curvature Flow, I
Brian White
This paper proves that, in mean curvature flow of a compact surface in a complete -manifold with Ricci curvature bounded below, the genus of the regular set is a decreasing func…
math.DG2025
Generating Shrinkers by Mean Curvature Flow
David Hoffman, Francisco Martin, Brian White
We prove existence for many examples of shrinkers by producing compact, smoothly embedded surfaces that, under mean curvature flow, develop singularities at which the shrinkers occ…
math.DG2024
Classification of Semigraphical Translators
Francisco Martín, Mariel Sáez, Raphael Tsiamis +1
We complete the classification of semigraphical translators for mean curvature flow in that was initiated by Hoffman-Martín-White. Specifically, we show that there i…