I have an undergraduate degree in physics from the Universidade de São Paulo (2004). I have a Master's degree in physics and a Ph.D. in mathematics, both from the Universidade de São Paulo (2012). Nowadays, I am an assistant professor at the Applied Mathematics Department of the Institute of Mathematics and Statistics of the University of São Paulo. I work with partial differential equations, in particular with elliptic and parabolic equations. I am interested particularly in the theory of analytic semigroups. Previously, I worked with applications of K-theory of C*-algebras defined by pseudo-differential operators. (Source: Lattes Curriculum)
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We propose to study problems involving evolution equations, where pseudodifferential operators appear as useful tools or have a close connection to. We intend to study the resolvent and the holomorphic functional calculus of pseudodifferential operators on manifolds with conical singularities, having in mind applications to linear and nonlinear parabolic equations. In particular, we would…
Our project consists of three problems, where pseudo-differential methods applied to boundary value problems are essential.The first one is concerned with the Gelfand-Shilov regularity of SG operators. It is a subject that has attracted a lot of attention in the last 15 years with the works of mathematicians such as M. Cappiello, L. Rodino, T. Gamschev, F. Nicola and J. Toft, among others…
The goal of this research project is to perform a thorough analysis of multiphysics shape and topology optimization problems with perimeter constraints, and to develop softwares for the numerical approximation of these problems based on this analysis. Existence of solutions in the continuous settings will be shown. In the discrete setting, the dependence of the design on the perimeter con…
We propose a study of pseudodifferential operators with global symbols and their associated boundary value problems, in particular of some of their applications. Taking into account several recent results about these operators, we propose three different problems closely related. We intend to apply these operators in the Fredholm index theory, to the study of asymptotic properties of solu…
The goal of this ongoing PhD research project is to perform a thorough analysis of multiphysics shape and topology optimization problems with perimeter constraints. Up to now, in the shape sensitivity analysis framework, a transient semi-coupled thermo-mechanical model has been considered. Also, in the topological sensitivity analysis framework, temperature constraints were investigated, …
| 2 / 2 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 3 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 7 / 5 | All research grants and scholarships |
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