I hold a degree in Mathematics from the University of Florence, Italy (1992), and a PhD in Mathematics from the same university (1997). I am currently an associate professor, level 3, at the University of São Paulo, Institute of Mathematics, Statistics and Computer Science (IME), Department of Mathematics. I have experience in the area of linear and nonlinear functional analysis and differential equations. My research interests focus on topological methods in the study of ordinary and delay differential equations, in existence and bifurcation problems of periodic solutions. I am interested in the theory of topological degree and its relations with the Conley index and spectral flow. (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
The research project will address the study of some classes of non-linear, ordinary and delayed differential equations, based on recent results on the existence, multiplicity and bifurcation of periodic solutions. Such results have been obtained by applying topological techniques such as topological degree and fixed point index. (AU)
(Only some records are available in English at this moment)
The research project will address the study of several classes of nonlinear differential equations, both ordinary and with time delay, based on recent results on the existence, multiplicity, and bifurcation of periodic solutions. These results were obtained by applying topological techniques such as topological degree and the fixed-point index.
The project deals with the study of the basic concepts in differential topology and their connections with the classical topological methods in nonlinear analysis, as the topological degree theory and the notion of degree of a tangent vector field to a differentiable manifold. These methods will be applied to the study of some differential equations, of first and second order, on manifold…
The Leray-Schauder degree is a topological tool with numerous applications in pure mathematics and applied science problems. Many problems have, as a natural environment, infinite-dimensional differentiable manifolds, which can be particular metric spaces of functions. The theory lacks a relationship between the topological degree between infinite-dimensional manifolds and tools like the …
CV Lattes
ORCID