CV Lattes
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Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. Instituto de Ciência e Tecnologia (ICT) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Licenciatura em Matemática from Universidade Federal de São Carlos (2005), graduation at Bacharelado em Matemática from Universidade Federal de São Carlos (2005), master's at Mathematics from Universidade Estadual de Campinas (2008) and doctorate at Mathematics from Universidade Estadual de Campinas (2012). Has experience in Mathematics, acting on the following subjects: dimensão de variedades algébricas, algoritmo de buchberger, teorema da implicitação polinomial, bases de gröbner and variedades algébricas. (Source: Lattes Curriculum)
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This project intends to study some aspects of the representation theory of algebras related to the affine Kac-Moody algebras, their generalizations and hyperalgebras. The main goal is to investigate properties on finite-dimensional representations of current and loop algebras (hyperalgebras) and truncated current algebras, with emphasis on local Weyl modules. It is also intended to consid…
This project is aimed at studying the Lie algebra of derivations of a polynomial ring over the field of complex numbers, with an emphasis on locally nilpotent derivations and questions about Lie subalgebras formed by these derivations.
The concept of resolution in homological algebra is generally used to define invariants that characterize the structure of a module or objects in a specific category. The goal of this project is to study a free resolution obtained by David Anick for associative algebras. This free resolution is naturally suitable for determining the homology of an algebra. Such construction of resolution …
The project aims at studying some aspects of the representation theory of certain algebras which can be regarded as generalizations of the concept of affine Kac-Moody algebras. It is split in two parts.The first part is a natural continuation of the studies which made part of the beneficiary s Ph.D. thesis on finite-dimensional representations of twisted hyper loop algebras. In this direc…
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The primary goal of this project is to introduce the student to the subject of Quiver Invariant Theory and its applications to geometric characterizations of the representation type of a quiver (or more generally, of finite dimensional algebras).
| 2 / 2 | Completed research grants |
| 4 / 4 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 7 / 7 | All research grants and scholarships |
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