Has a doctorate (2024) in Applied Mathematics from the Institute of Mathematics and Statistics, University of São Paulo (IME-USP). Has a bachelor's (2018) and a master's (2020) in Mathematics from the Institute of Mathematical Sciences and Computation (ICMC), University of São Paulo (USP). Currently does research in the themes of global solvability and hypoellipticity of locally integrable structures and CR geometry, (Source: Lattes Curriculum)
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This research project deals with a correspondence between Levi-flat CR structures and systems of real vector fields. In several different models, this correspondence allows to obtain results about vanishing of cohomology spaces, global solvability and global hypoellipticity of one of the structures from information about the other. In presence of a Lie group action, the naturally associat…
Let V be a connected N-dimensional smooth manifold and let L be a non singular smooth complex vector field defined on V. Local solvability is characterized by Nirenberg-Treves condition (P).The solvability of L is still an open problem if we consider the semiglobal problem. Let K be a compact set of V. We say that L is solvable at K if for any f belonging to afinite codimension subspace o…
This Research Project deals with the study of (local) solvability and hipoellipticity of constant coefficient linear partial differential operators defined in R^n. We will study topics of Theory of Distributions and the existence of Fundamental Solutions.
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