Completed high school at Edésio Castanho in 2016. Bachelor in Mathematics at Universidade Federal de São Carlos (UFSCar) in 2021. Master in Mathematics at Universidade Federal de São Carlos. Currently a Phd Student in the Postgraduate Program in Mathematics at UFSCar. (Source: Lattes Curriculum)
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This project aims to study the bifurcation set of a real polynomial function in two real variables and also its connections with other mathematical problems. The project is divided into four main parts: the bifurcation set and its characterization in terms of vanishing and splitting at infinity phenomena, the relation with Jacobian problems, the relation with foliations of the plane and L…
It is known that a continuously differentiable vector field in the real plane is completely determined by its separatrix configuration up to topological equivalence, that is, by its critical points, its separatrices and by one orbit in each canonical region of the vector field, as well as by the configuration of such elements. This result is due to Markus (when there are no limit separatr…
With our aim in the work of the Frederico Xavier (a preprint), named “Conformal geometry, Euler numbers, and global invertibility in higher dimensions”, we plan to study topics of differential geometry, geometry of manifolds and topology during about eight to ten months. Throughout the development of the study we will make several connections between these areas, seeking to understand all…
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