He is currently a PhD student in Mathematics at the Universidade Estadual Paulista Júlio de Mesquita Filho, Campus São José do Rio Preto. (Source: Lattes Curriculum)
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The project is within singularity theory and its applications to differential geometry. The main goal of the project is to study the geometry of singular surfaces in the Euclidian and Minkowski spaces. We intend to study local properties of singular surfaces which appears as bifurcation sets of versal unfoldings, as focal surfaces and those invariants under screw motions. Amongst the prob…
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)
This project has as a main objective to give a solid basis to the student to continue his studies in Singularity Theory. Topics for studies are fundamentals to the theory as: germs of differentiable maps in R and R2, maximal ideal, R-equivalene, the module E_n,p, Mather groups, extended tangence space, codimension of a germ.
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…
| 1 / 1 | Ongoing scholarships in Brazil |
| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
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