Description: Singularity theory studies varieties and singular mappings. It is a well-established theory that has gained interest due to its broad applications across various scientific fields and its interactions with diverse areas of mathematics. Applications of the theory include optics, robotics, and computer vision, among others.
The project has four central research lines: one focuses on problems within singularity theory itself, while the other three address applications of the theory to differential geometry, differential equations, and computer vision. The project will continue the team’s work in these research areas and will initiate two new major research lines: the study of vector fields from an infinitesimal perspective and image recognition using a geometric approach. The problems addressed are challenging, ambitious, and innovative, both from a theoretical standpoint and in terms of applications.
The team consists of internationally renowned researchers, whose extensive and varied experience makes them well-prepared to tackle the project’s challenges. It is noteworthy that part of the project is multidisciplinary, involving both mathematicians and researchers in computer science. In addition to the expected scientific results, the team will contribute to human resource development through the supervision of undergraduate, PhD, and postdoctoral students, as well as the dissemination of scientific knowledge.
Grant Period: August 2019 – July 2025
Principal Investigator: Farid Tari
Funding Agency: FAPESP
Key Personnel: Marcelo José Saia, Maria Aparecida Soares Ruas, Miriam Manoel, Nivaldo de Góes Grulha Júnior, Regilene D. S. Oliveira, Raimundo Nonato Araújo dos Santos
