I have a degree in Mathematics - Università degli Studi di Firenze, Italy (1992), and a PhD in Mathematics - Università degli Studi di Firenze (1997). Currently, I am associate professor, level 3, at the University of São Paulo, Institute of Mathematics and Statistics (IME), Department of Mathematics. I have experience in the area of Nonlinear and Linear Functional Analysis and Differential Equations. My research interests focus on topological methods for the study of ordinary differential equations, with delay, in problems of existence and bifurcation of periodic solutions. I am interested in the theory of topological degree and its relations with the Conley index and the spectral flow. (Source: Lattes Curriculum)
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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)
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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 …
| 1 / 1 | Ongoing grants |
| 7 / 7 | Completed research grants |
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 10 / 10 | All research grants and scholarships |
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