https://neckpinch.com/authors/izabella-muraro-de-freitas/New arXiv papers by Izabella Muraro de Freitas, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2210.09781/arxiv:2210.09781Tue, 18 Oct 2022 00:00:00 GMTIzabella Muraro de Freitas, Álvaro Krüger Ramos — So far, the most magnificent breakthrough in mathematics in the 21st century is the Geometrization Theorem, a bold conjecture by William Thurston (generalizing Poincaré's Conjecture) and proved by Grigory Perelman, based on the program suggested by Richard Hamilton. In this survey article, we will explain the statement of this result, also presenting some examples of how it can be used to obtain interesting results in differential geometry.Geometrization