CV Lattes
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Graduated at mathematics from Universidade de São Paulo (2011), master's at mathematics from Universidade de São Paulo (2014) and doctorate at Mathematics from Universidade de São Paulo (2019). Research the interplay between C*-algebras and set theory. More precisely, apply combinatorial methods to construct interesting examples of C*-algebras. (Source: Lattes Curriculum)
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In this project we propose the study of some methods based on partial orders, which can be applied to the topology and the geometry of Banach spaces. Among these methods, we focus on some axioms like Martin axiom, proper forcing axiom and Martin maximum. We consider aswell the forcing method, which was introduced by Cohen in the XXth century to solve the problem on the continuum hypothesi…
In this project we propose the study of the relation between properties of three kind of structures: Boolean algebras, compact topological spaces and Banach spaces. For this, we will study the duality between Boolean algebras and certain compact Hausdorff (the Stone duality) and the ``duality'' between compact Hausdorff spaces and Banach spaces C(K). As a consequence of those dualities, t…
In this project we propose to study some constructions of Banach spaces of the form C(K). These spaces compose a representative class among Banach spaces in general, specially in the nonseparable setting. The combinatorial methods studied by the candidate up to now and those which we plan to study before the proposed visit form a solid basis to the construction of numerous examples with i…
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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