graduation at Bacharelado em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1996), graduation at Ciências Com Habilitação Em Matemática from Fundação Educacional do Município de Assis (1992), master's at Mathematics from Universidade de São Paulo (1999) and doctorate at Mathematics from Universidade de São Paulo (2003). Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: álgebra linear i e álgebra linear ii, função de uma variável complexa e equações diferen, folheações, campos de vetores and geometria analítica e vetores, geometria euclidian. (Source: Lattes Curriculum)
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The Singularity Theory deals with the study of singular varieties and applications. Due to its wide applications to various areas of science and to its interaction with several areas of Mathematics, Singularity Theory has consolidated and gained great interest from the academic community.The central theme of this project is devoted to the study of the differential geometry of singular sur…
(Only some records are available in English at this moment)
This project aims to use Theory of Singularities and Differential Geometry, to study properties of regular and singular surfaces in R3 which provide information on the shape of the surface. Therefore, the student should study about: contact of a surface with lines, recognition of the generic singularities of a projection familyorthogonal surfaces, apparent surface contour, Koenderink resu…
The PhD project is about the Geometry of singular surfaces in R3, using Singularity Theory tools. This project intends to investigate local properties of singular surfaces, such as those of rotation obtained from singular generative curves, as well as those that are focal surfaces of singular surfaces of rotation, hoping to obtain geometric properties, invariants and relations between geo…
The objective of this project is, using tool of the Singularity Theory and of the Differential Geometry, to study the geometry of the focal set of a regular surface M of the Euclidean space R3 and deduce from this geometry information on the surface M. (AU)
(Only some records are available in English at this moment)
Our main goal is to investigate local properties of singular surfaces in R3, such as those of revolution obtained from singular profile curves or those that are focal surfaces of singular surfaces of revolution. It is also intended to explore other singular surfaces, such as generalized helicoids, among others that may arise during the study. We intend to obtain geometric properties, inva…
The project is to develop research in Geometry/ Yopology using tools of the Singularity Theory and Differential Topology. We aimed to investigate the index of a binary differential equation given by the pair of foliations on a surface M, defined by the principal directions in an isolated singular point of rank 1 M. We also intend to investigate intrinsic and extrinsic invariants of M and …
The aim of this project is to study the geometry of the focal set (caustic) of a smooth surface M in the Euclidean 3-space and deduce from this study geometric information about the surface M. (AU)
| 4 / 4 | Completed research grants |
| 10 / 7 | Completed scholarships in Brazil |
| 4 / 3 | Completed scholarships abroad |
| 18 / 14 | All research grants and scholarships |
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CV Lattes
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