Alex Waldron — Neckpinchhttps://neckpinch.com/authors/alex-waldron/New arXiv papers by Alex Waldron, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT Integrable Deformations and Stability of the Ricci Flowhttps://neckpinch.com/papers/2604.15198/arxiv:2604.15198Thu, 16 Apr 2026 00:00:00 GMTMaxwell 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 equivalence between integrability and an "almost-orthogonality" property of the Ricci-DeTurck tensor, allowing us to analyze the latter directly. We obtain our main results in weighted Holder spaces and then show how to recover the L^p-stability theorems of Deruelle-Kroncke and Kroncke-Petersen.Ricci flowRicci-flat & Calabi–YauStability & uniquenessHarmonic maps & DeTurck trick