Brazilian Center for Geometry (CBG)

• Grant number: 24/00923-6
• Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
• Start date: February 01, 2026
• End date: January 31, 2031
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Marcos Benevenuto Jardim
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas
• Principal investigators: Cristián Andrés Ortiz González ; Ethan Guy Cotterill ; Herivelto Martins Borges Filho ; Igor Mencattini ; José Nazareno Vieira Gomes ; Marcelo Firer ; Maurício Richartz ; Ricardo Antonio Mosna ; Ricardo Miranda Martins ; Rúbia Barcelos Amaral ; Saeed Tafazolian
• Associated researchers: Alberto Vazquez Saa ; Carina Alves ; Carlile Campos Lavor ; Carolina Bhering de Araujo ; Cintya Wink de Oliveira Benedito ; Claudio Gorodski ; Dahisy Valadão de Souza Lima ; Eder de Moraes Correa ; Eduardo de Sequeira Esteves ; Grasiele Cristiane Jorge ; Guillermo Antonio Lobos Villagra ; Hengameh Raeisidehkordi ; Henrique Nogueira de Sá Earp ; João Eloir Strapasson ; João Paulo Pitelli Manoel ; Lazaro Orlando Rodriguez Diaz ; Leandro Augusto Frata Fernandes ; Leonardo Barichello ; Lino Anderson da Silva Grama ; Luiz Roberto Hartmann Junior ; Marcos Martins Alexandrino da Silva ; Paolo Piccione ; Rafael Santos de Oliveira Alves ; Renato Ferreira de Velloso Vianna ; Robson Ricardo de Araujo ; Ronaldo Savioli Sumé Vieira ; Ruy Tojeiro de Figueiredo Junior ; Samuel Augusto Wainer ; Sara Díaz Cardell ; Simon George Chiossi ; Stefano Nardulli ; Sueli Irene Rodrigues Costa ; Tiago Jardim da Fonseca ; Viviana Jorgelina Del Barco ; Yuriko Yamamoto Baldin

Abstract

The Brazilian Center for Geometry (CBG) is an innovative initiative in the field of mathematical sciences in Brazil and South America. Designed as a center of excellence, the CBG is committed to pushing the boundaries of research in several areas of differential, algebraic and applied geometry, driving innovation, and enhancing mathematical education and the diffusion of knowledge in society. Its establishment positions Brazil as a crucial contributor in the global mathematical community, reinforcing the nation's role in the advancement of mathematical sciences.The CBG will operate under a coherent organizational structure, designed to foster cutting-edge research and collaboration. The Executive Committee comprises Marcos Jardim (General Director, Unicamp), Henrique Sá Earp (Vice-Director, Unicamp), Paolo Piccione (Scientific Director, USP), Marcelo Firer (Coordinator of Innovation, Unicamp), Rubia Amaral (Coordinator of Education and Dissemination, Unesp), Carolina Araujo (Coordinator of Activities and Events, IMPA), and Guillermo Lobos (Coordinator of International Relations, UFSCar), as well as the leaders of its four thematic verticals:GeoDif (Differential Geometry): Led by Claudio Gorodski (IME-USP), with Deputy José Nazareno (UFSCar), GeoDif delves into the realms of geometric analysis on manifolds, geometric structures and Lie theory. It explores themes like geometric flows, geometric measure theory, gauge theory, and the study of Riemannian and pseudo-Riemannian manifolds and their symmetries.GeoAlg (Algebraic Geometry): Led by Eduardo Esteves (IMPA), with Deputy Herivelto Borges (ICMC-USP), GeoAlg is dedicated to the study of varieties, moduli spaces, and intersections with commutative algebra and arithmetic. It also addresses the classification of projective varieties and the development of algebraic-geometric codes.ApliGeo (Applications of Geometry): Led by Alberto Saa (Unicamp), with Deputy Mauricio Richartz (UFABC), ApliGeo applies geometric concepts in areas like protein geometry, spacetime geometry in the context of general relativity, and information geometry for coding theory and cryptography.ED&I (Education, Dissemination, and Innovation): Coordinated by Marcelo Firer (Unicamp) and Rubia Amaral (Unesp), with Deputies Leonardo Barichello (EA-USP) and Yuriko Baldin (UFSCar), ED&I focuses on curricular innovations, teacher education, and the dissemination of geometric knowledge. It aims to integrate advanced technologies and pedagogical methods into Mathematics education and to promote a broader understanding and appreciation of geometry.Motivated by the conviction that significant advances in each of the research areas involved in this proposal can be achieved by bringing together researchers in a context where they are encouraged to exchange ideas and work in collaboration, we believe that the creation of the CBG will allow its members to deepen their fundamental knowledge in differential geometry, algebraic geometry, mathematical physics and their applications, also articulating with the training of human resources, retention of talents, basic education and the dissemination of knowledge to society. (AU)