3 papers
math.DG2023
On the Structure of Singularities of Weak Mean Curvature Flows with Mean Curvature Bounds
Maxwell Stolarski
This paper studies singularities of mean curvature flows with integral mean curvature bounds for some . For such flows, any tangent f…
math.DG2020
Existence of Mean Curvature Flow Singularities with Bounded Mean Curvature
Maxwell Stolarski
In [Vel94], Velazquez constructed a countable collection of mean curvature flow solutions in in every dimension . Each of these solutions becomes singular i…
math.DG2019
Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow
Maxwell Stolarski
For any manifold admitting an Einstein metric with positive Einstein constant, we study the behavior of the Ricci flow on high-dimensional products w…