https://neckpinch.com/authors/jared-casey/New arXiv papers by Jared Casey, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2610.38124/arxiv:2610.38124Wed, 28 Oct 2026 00:00:00 GMTJared Casey, Chak Hoi Chan, Min-Chun Hong — We develop a parabolic formulation of the Uhlenbeck gauge fixing theorem and use it to prove the maximal existence of the Yang-Mills flow in vector bundles over compact n-dimensional Riemannian manifolds for n ≥ 4. We apply Moser's iteration technique to give a new proof of the bound of the curvature. Using an idea of Hamilton on the Ricci flow, we also provide a new proof on uniform estimates of higher order derivatives. Furthermore, we investigate the blow-up of the Yang-Mills flow at the maximal existence time and improve an asymptotical result of Hong-Tian.Ricci flowSingularities