- Research Grants
graduate at Licenciatura em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1999), master's at Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2002) and ph.d. at Mathematics from Universidade de São Paulo (2005). Has experience in Mathematics, acting on the following subject: Singularity Theory (Source: Lattes Curriculum)
The purpose of this work is to study importanttopics of Singularity theory such as nvariants, classification problem, finiteness theorems, stable maps, pairs of map germs (or divergent diagrams), among others. Such topics are interrelated with other areas of research, such as Differential Geometry, Topology, Dynamical System and Graph Theory. To develop this study, from local point of...
The research project is on the characteristic classes and intersection homology theory. The first subject to be investigated concerns Milnor classes. It is curious that, at the moment, there are few (or none) examples and applications of them. Another point on Milnor classes, is that the Prof. Brasselet gave a conjecture formula for duality of these classes in terms of polar varieties. ...
The goal of this work is to study properties and invariants of bi-Lipchitz contact equivalence of smooth map-germs. This equivalence relation is the Lipschitz version of contact equivalence introduced by J. Mather. Few results exist on this subject in literature. (AU)
The main goal of this work is to study the classification problem of singularities until codimension 5, up to R-equivalence. The contents of the project are based in a introductory course of Singularity Theory, which is not given in a regular course of Mathematics.
The main goal of this plan is to study aspects from the geometry and the topology of surfaces based in the beautiful Gauss-Bonnet theorem. In fact, the Gauss Bonnet theorem presents a good relationship between the geometry of the surface (the Gaussian curvature) and the topological aspects of the surface (Euler-Poincare characteristic). Some physical applications will be studied based o...
Our goal is to study the local theory of curves (in R2 and R3) introducing a relationship between topics of Differential Geometry and Singularity theory. To help us in this task we will use the Mathematica software. Also we will give some practical applications of our study. (AU)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
|Data from Web of Science|
(References retrieved automatically from State of São Paulo Research Institutions)
COSTA, João Carlos Ferreira. Formulação por caminhos para problemas de bifurcação Z2 + Z2-equivariantes. . 106f. Dissertação (Mestrado) - Instituto de Biociências, Letras e Ciências Exatas. Universidade Estadual Paulista. São José do Rio Preto.
COSTA, João Carlos Ferreira. Equivalências de contato topológica e bi-Lipschitz de germes de aplicações diferenciáveis. 2005. Tese (Doutorado) – Instituto de Ciências Matemáticas e Computação de São Carlos. Universidade de São Paulo (USP). São Carlos.