3 papers
math.DG2026
Generic regularity for minimizing hypersurfaces in dimensions 9 and 10
Otis Chodosh, Christos Mantoulidis, Felix Schulze
We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions 9 and 10.
math.DG2025
Stability of neckpinch singularities
Felix Schulze, Natasa Sesum
In this paper, we study the stability of neckpinch singularities. We show that if a mean curvature flow develops only finitely many neckpinch singularities at the first s…
math.DG2025
Initial stability estimates for Ricci flow and three dimensional Ricci-pinched manifolds
Alix Deruelle, Felix Schulze, Miles Simon
This paper investigates the question of stability for a class of Ricci flows which start at possibly non-smooth metric spaces. We show that if the initial metric space is Reifenber…