63 citations · 209 across the 32 of their papers we have counts for
44 papers
Expanders for Mean Curvature Flow and Counterexamples to Ilmanen's Genus-Reduction Conjecture
David Hoffman, Francisco Martin, Brian White
We construct new expanders for mean curvature flow that are smoothly asymptotic to cones arising from certain shrinkers. For each such cone, we prove the existence of expanders of…
Translating Annuli for Mean Curvature Flow
David Hoffman, Francisco Martín, Brian White
We construct a family of complete, properly embedded, annular translators such that lies in a slab and is invariant under reflections in the vertical coordinate planes. Eac…
Annuloids and -wings
D. Hoffman, F. Martin, B. White
In this paper, we describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the -win…
Morse-Radó Theory for Minimal Surfaces
David Hoffman, Francisco Martín, Brian White
For a class of functions (called minimal Radó functions) that arise naturally in minimal surface theory, we bound the number of interior critical points (counting multiplicity) in…
The Boundary Term in Huisken's Monotonicity Formula and the Entropy of Translators
Brian White
For a manifold-with-boundary moving by mean curvature flow, the entropy at a later time is bounded by the entropy at an earlier time plus a boundary term. This paper controls the b…
Boundary Singularities in Mean Curvature Flow and Total Curvature of Minimal Surface Boundaries
Brian White
For hypersurfaces moving by standard mean curvature flow with boundary, we show that if a tangent flow at a boundary singularity is given by a smoothly embedded shrinker, then the…