https://neckpinch.com/authors/harry-fluck/New arXiv papers by Harry Fluck, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2509.14154/arxiv:2509.14154Wed, 17 Sep 2025 00:00:00 GMTHarry Fluck, Max Hallgren — In this article we prove an ε-regularity theorem for non-collapsed Ricci flows, and use this to prove new estimates for singularity models of Fano Kähler-Ricci flows. In the course of our proof, we find a criterion for uniform convergence of solutions to the heat equation along a sequence of F-converging Ricci flows, and apply this to new parabolic regularizations of some natural geometric quantities.Ricci flowKähler–Ricci flowSingularities(Non)collapsingKähler geometry https://neckpinch.com/papers/2303.17663/arxiv:2303.17663Thu, 30 Mar 2023 00:00:00 GMTHarry Fluck, Xiaolong Li — This article aims to understand the behavior of the curvature operator of the second kind under the Ricci flow in dimension three. First, we express the eigenvalues of the curvature operator of the second kind explicitly in terms of that of the curvature operator (of the first kind). Second, we prove that a-positive/a-nonnegative curvature operator of the second kind is preserved by the Ricci flow in dimension three for all a ∈ [1,5].Ricci flow3-manifoldsEigenvalues & spectrum