PhD student in mathematics at the University of São Paulo (USP), with a FAPESP scholarship. I am currently conducting a research internship at the University of Seville, Spain. The topic of my doctoral thesis is the fractal dimension of attractors for dynamical systems. At the University of Seville, I am also studying mathematical and computational modeling through machine learning and dynamical systems to understand and classify minimal consciousness states in humans, such as the coma state. I am interested in working with artificial intelligence and data science. (Source: Lattes Curriculum)
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The main goal of this project is to study the fractal dimension and the Assouad dimension of attractors for autonomous and non-autonomous dynamical systems, considering that the study of the dimension of the attractor of a dynamical system allows us, in certain cases, to reduce the complexity of this attractor by relating it to a subset of a finite-dimensional Euclidean space.Our first ob…
This project aims to study the topics of spectral theory of operators, theory of semigroups and their generators and geometric theory of parabolic semilinear differential equations, and then to apply such knowledge to analyze the semilinear Chafee-Infante equation. Finally, we seek to study stability and hyperbolicity of equilibria for a non-local quasilinear Chafee-Infante equation, maki…
The main objectives of this internship project are the study of box-counting dimension of the attractors of non-autonomous dynamical systems, the study of embedding theorems based on Hausdorff and box-counting dimension, and, finally, the study of the Assouad dimension of attractors. Our first goal is to search for estimates for the box-counting dimension of the uniform attractor of cocyc…
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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