M. Stolarski

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math.DG2026

Finite-Time Singularities of Lagrangian Mean Curvature Flow with Quantitatively Precise Dynamics

Maxwell Stolarski, Wei-Bo Su

For each integer $K \geq 2$ when $n \geq 4$ , and for $K = 2, 3, 4$ when $n = 3$ , we construct an almost-calibrated Lagrangian mean curvature flow $L_{K} (t)$ in $C^{n}$ , starting from…

math.DG2026

Spectral Analysis for Finite-Time Singularities of Lagrangian Mean Curvature Flow

Maxwell Stolarski, Wei-Bo Su

Let $C$ be a $G$ -invariant special Lagrangian cone admitting a scaled family of $G$ -invariant special Lagrangian desingularizations $a L$ which converge to $\mat…

math.DG2026

Integrable Deformations and Stability of the Ricci Flow

Maxwell Stolarski, Alex Waldron

We provide a comparatively simple proof of the dynamical stability of Ricci flow near a linearly stable Ricci-flat ALE metric with integrable deformations. Our proof relies on the…

math.DG2024

Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers

Maxwell Stolarski

Given an asymptotically conical, shrinking, gradient Ricci soliton, we show that there exists a Ricci flow solution on a closed manifold that forms a finite-time singularity modele…