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
is an associate professor at the Mathematics Department of the University of São Paulo (USP). Her research concentrates on applications of set theory to the geometry of Banach spaces. She holds a Ph.D. (2008) in mathematics from USP, with the doctorate being obtained in co-supervision at the University of Paris 7 - Denis Diderot. She was a post-doctoral fellow at UNICAMP from 2008 to 2010 and at the University of Paris 6/7 and Toronto (2012). Received her habilitation from USP in 2018. Integroated the Committee for Latin America (2016-2021) and the Executive Committee (2022-2024) of the Association of Symbolic Logic (ASL) and the Gender Committee (2018-2021) of the Brazilian Mathematical Socities SBM/SBMAC. Currently integrates the Gender and Diversity Committeeof the União Matemática da América Latina e do Caribe (Umalca). (Source: Lattes Curriculum)
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(Only some records are available in English at this moment)
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…
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…
(Only some records are available in English at this moment)
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…
Our main purpose is to study the geometry of Banach spaces from the combinatorial point of view. We are interested in new constructions using the forcing method, Ramsey theory and families of finite sets. We will continue our research on structures like biorthogonal sequences and unconditional basic sequences.
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…
In this project we consider some problems in geometry of Banach spaces which we intend to approach by using combinatorial methods such as forcing and axioms like MM, TA and PID. We present some results and questions in which we are interested. (AU)
| 6 / 5 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 6 / 5 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 3 / 3 | Completed scholarships abroad |
| 17 / 15 | All research grants and scholarships |
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