Wilson Albeiro Cuellar Carrera in research grants and scholarships supported by FAPESP.
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This project deals with two directions of research within the theory of Banach spaces. In a first line we study homological theory in Banach spaces (also called twisted sum theory) from elements of interpolation theory. In the second part, we use methods of descriptive set theory to address Banach space classification problems. More specifically, we are interested in the study of the unco…
This project deals with the study of topics in nonlinear theory of Banach spaces with emphasis on the study of the uniform structure of Banach spaces. The main goal is to study some modern techniques of the nonlinear theory and their applications on the study of properties related to the asymptotic structure of Banach spaces which are stable under uniform homeomorphisms, and on the nonlin…
The main objective of this post doctoral project is to continue with the research of the candidate during his PhD about twisted sums and complex structures on Banach spaces. We also are interested in a new direction of research, mainly about the classification and description of some equivalence relations in the category of separable Banach spaces.We integrate to the research new methods …
This research project is a study of complex structures on real Banach spaces, to be developed during the candidate's doctoral studies at the Institute of Mathematics and Statistics (IME-USP). The candidate will study the spaces successively built by Bourgain, Kalton and Ferenczi, which are examples of Banach spaces with at least two distinct complex structures. The first goal will be to d…
In this project, we study problems in homological theory of Banach spaces. A twisted sum of Hilbert spaces is a Banach X space that contains an isomorphic subspace Y such that both Y and X/Y are isomorphic to Hilbert spaces. This family of spaces has been relevant in the geometry of Banach spaces related to operator extension problems, complemented subspaces, complex interpolation, nonlin…
This research project is a study of two problems of the theory of complex structures on real Banach spaces, as part of the candidate's PhD project at the Institute of Mathematics and Statistics (IME-USP). Based on the methods developed in the study of a space defined by the advisor in Brazil Valentin Ferenczi, and methods used in another space defined by the adviser abroad Jordi Lopez-Aba…
| 1 / 1 | Completed research grants |
| 3 / 3 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 6 / 6 | All research grants and scholarships |
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