CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor in Mathematics by the Institute of Mathematics and Statistics of the University of São Paulo (IME-USP). He was an exchange student at the Université de Franche-Comté (FRA) during the second half of 2022, having been financed by the USP Merit Scholarship program. Currently, he researches applications of set theory, particularly forcing axioms, in the studies of the geometry of Banach spaces and in the theory of operators. (Source: Lattes Curriculum)
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In this project we propose to study applications of combinatorial methods to uncountable structures in Banach spaces. In this sense, we will study two main results: a consequence of PFA on biorthogonal systems in non-separable spaces and a consequence of OCA on the Calkin algebra. The proposal will be complemented by an internship abroad, which will put the student in contact with a renow…
The following topics will be studied in this project:* The Suslin hypothesis (SH): a statement first studied by the mathematician Mikhail Yakovlevich Suslin in the 1910s. It consists in the characterization of the poset of the real numbers (R) with the usual order from three properties. That is X is order isomorphic to R if, and only if, the linearly ordered set X satisfies the three prop…
This project proposes a research internship at the University of Murcia (ESP) to investigate certain combinatorial implications within Banach space theory focusing on exploring possible connections between the theory of Banach lattices and the techniques introduced on the main articles of the master's project. The candidate's master's project already studies combinatorical consequences in…
| 1 / 1 | Ongoing scholarships in Brazil |
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 3 / 3 | All Scholarships |
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