activity
20192022
most citedUniqueness of Asymptotically Conical Gradient Shrinking Solitons in G_2-Laplacian Flow

1 citations · 1 across the 3 of their papers we have counts for

collaborators
Showing math.DGShow all

3 papers · 1 filter

math.DG2022★ 1 cited

Uniqueness of Asymptotically Conical Gradient Shrinking Solitons in G_2-Laplacian Flow

Mark Haskins, Ilyas Khan, Alec Payne

We prove a uniqueness result for asymptotically conical (AC) gradient shrinking solitons for the Laplacian flow of closed G_2-structures: If two gradient shrinking solitons to Lapl…

math.DG2020

Mass Drop and Multiplicity in Mean Curvature Flow

Alec Payne

Brakke flow is defined with a variational inequality, which means it may have discontinuous mass over time, i.e. have mass drop. It has long been conjectured that the Brakke flow a…

math.DG2019

Ancient and Eternal Solutions to Mean Curvature Flow from Minimal Surfaces

Alexander Mramor, Alec Payne

We construct embedded ancient solutions to mean curvature flow related to certain classes of unstable minimal hypersurfaces in for . These provide exam…