https://neckpinch.com/authors/jiuzhou-huang/New arXiv papers by Jiuzhou Huang, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2510.11430/arxiv:2510.11430Mon, 13 Oct 2025 00:00:00 GMTJiuzhou Huang — In this paper, we construct a family of mean curvature flow which converges to an area minimizing, strictly stable hypercone mC after type I rescaling, and converges to the Hardt-Simon foliation of the cone after a type II rescaling provided the cone satisfies some technique conditions. The difference from Velázquez's previous results is that we drop the symmetry condition on the cone.Mean curvature flowSingularities https://neckpinch.com/papers/2405.01062/arxiv:2405.01062Thu, 02 May 2024 00:00:00 GMTKyeongsu Choi, Jiuzhou Huang, Taehun Lee — We construct an I-family of ancient graphical mean curvature flows over a minimal hypersurface in ℝⁿ⁺¹ of finite total curvature with the Morse index I by establishing exponentially fast convergence in terms of |x|²−t. As a corollary, we show that these ancient flows have finite total curvature and finite mass drop. Moreover, one family of these flows is mean convex by a pointwise estimate.Mean curvature flowAncient solutionsLong-time existence & convergenceMinimal & CMC surfaces