CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Bacharelado em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2004), master's at Mathematics from Universidade de São Paulo (2006) and doctorate at Mathematics from Universidade de São Paulo (2010). Has experience in Mathematics, focusing on Theory of the Singularidades and Teoria of the Catastrophes, acting on the following subjects: singular hypersurface, polar variety, Lê numbers and cycles, Milnor classes. (Source: Lattes Curriculum)
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In the study of singular complex analytic hypersurfaces from a local point of view, that is, defined by a holomorphic germ, Milnor proves a fibration theorem, obtaining the so-called Milnor fiber (local) associated with this germ. In the case where the hypersurface has an isolated singularity, Milnor introduced an important invariant, now called the Milnor number, which plays an important…
The project consists of the geometric and algebraic study of complex analytic varieties with singularities from local and global point of view, subdivided into three directions:1. Study of semi-weighted homogeneous maps2. Milnor classes of complete intersections3. Generalization of the Bruce-Roberts number (AU)
The study of Chow group serves as a basis for the theory of intersection in Algebraic Geometry, a very important and current tool in Theory of Singularities. Starting with the study of Scheme Theory, we consider varieties, which are finite type schemes over some algebraically closed field, formal linear combinations of them with integer coefficients called cycles and through the rational …
In the study of critical points of holomorphic functions with isolated critical point, John Milnor introduced an invariant important, which was then called the number of Milnor, presenting interpretations in various areas of Mathematics and has an important role in Singularity Theory. The objective of this work is to present the Milnor number in algebraic point of view and show that it ca…
In this project, we will study germs of analytic functions that have a neighborhood intersecting only a finite number of orbits associated, called simple germs. The goal is to classify these germs according to the type of singularity. We will see that the action considered in the case of germs with isolated singularities to obtain the orbits differs from the action required in the case of…
| 6 / 3 | Completed research grants |
| 5 / 3 | Completed scholarships in Brazil |
| 11 / 6 | All research grants and scholarships |
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