68 citations · 161 across the 26 of their papers we have counts for
3 papers · 1 filter
Formation and structural stability of nondegenerate neckpinches
Kyeongsu Choi, Panagiota Daskalopoulos, Natasa Sesum
In this paper, we study the formation, precise asymptotics, and structural stability of neckpinch singularities in mean curvature flow. Motivated by the static rigidity of cylindri…
Ancient cylindrical flows with fast or slow convergence
Kyeongsu Choi, Robert Haslhofer
In a recent breakthrough, Bamler-Lai proved the mean-convex neighborhood conjecture in all dimensions by showing that any nontrivial ancient asymptotically cylindrical mean curvatu…
Classification of ancient finite-entropy curve shortening flows
Kyeongsu Choi, Dong-Hwi Seo, Wei-Bo Su +1
We prove that any ancient smooth embedded finite-entropy curve shortening flow is one of the following: a static line, a shrinking circle, a paper clip, a translating grim reaper,…