Brian White

collaborators

4 papers

math.DG2026

Classification of Semigraphical Translators

Francisco MartÃn, Mariel SÃ¡ez, Raphael Tsiamis +1

We complete the classification of semigraphical translators for mean curvature flow in $R^{3}$ that was initiated by Hoffman-MartÃn-White. Specifically, we show that there…

math.DG2026

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.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 $3$ -manifold with Ricci curvature bounded below, the genus of the regular set is a decreasing func…

math.DG2025

Fattening in mean curvature flow

Tom Ilmanen, Brian White

For each $g \geq 3$ , we prove existence of a compact, connected, smoothly embedded, genus- $g$ surface $M_{g}$ with the following property: under mean curvature flow, there is exactly o…