Jordan Serres — Neckpinchhttps://neckpinch.com/authors/jordan-serres/New arXiv papers by Jordan Serres, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Contractive transport maps from S² to nearly spherical surfaces with positive Ricci curvaturehttps://neckpinch.com/papers/2508.13688/arxiv:2508.13688Tue, 19 Aug 2025 00:00:00 GMTJordan Serres — We prove that every nearly spherical, positively curved surface is the contractive, volume-preserving image of a round sphere. The proof combines three main tools: the Ricci flow on surfaces, the Kim-Milman construction, and a multiscale Bakry-Émery criterion.Ricci flowSurfacesLimit spaces & RCD