Ramsey Theory: from monochromatic to canonical structures

• Grant number: 24/13859-4
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2025
• End date: April 30, 2028
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Theory of Computation
• Principal Investigator: Guilherme Oliveira Mota
• Grantee: Guilherme Oliveira Mota
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated researchers: Leticia Dias Mattos ; Luiz Paulo Freire Moreira ; Marcelo Soares Campos ; Maurício de Lemos Rodrigues Collares Neto ; Patrick Wyndham Morris ; Tássio Naia dos Santos ; Walner Mendonça dos Santos
• Associated scholarship(s): 25/07650-8 - Modern techniques in extremal combinatorics, BP.IC

Abstract

This is a Regular Research Grant application, prepared by Guilherme Oliveira Mota together with the team of associated researchers who are proposing it.This project primarily aims to investigate problems at the frontier of Ramsey Theory, an area that has been gaining much notoriety in recent years, especially after surprising results have emerged. Our main objective is to achieve great advances on several fronts in this area. To this end, we will bring together a team of outstanding young specialists in the field, all with considerable experience in the proposed problems, which have been carefully selected to provide significant advances in the explored fronts. (AU)