https://neckpinch.com/authors/adrian-chun-pong-chu/New arXiv papers by Adrian Chun-Pong Chu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2409.09315/arxiv:2409.09315Sat, 14 Sep 2024 00:00:00 GMTAdrian Chun-Pong Chu, Yangyang Li — In 1989, B. White conjectured that every Riemannian 3-sphere has at least 5 embedded minimal tori. We confirm this conjecture for 3-spheres of positive Ricci curvature. While our proof uses min-max theory, the underlying heuristics are largely inspired by mean curvature flow.Mean curvature flowMinimal & CMC surfaces https://neckpinch.com/papers/2308.05923/arxiv:2308.05923Fri, 11 Aug 2023 00:00:00 GMTAdrian Chun-Pong Chu, Ao Sun — We show that for certain one-parameter families of initial conditions in ℝ³, when we run mean curvature flow, a genus one singularity must appear in one of the flows. Moreover, such a singularity is robust under perturbation of the family of initial conditions. This contrasts sharply with the case of just a single flow. As an application, we construct an embedded, genus one self-shrinker with entropy lower than a shrinking doughnut.Mean curvature flowSelf-shrinkers & translatorsSingularities