Bachlor in Mathematics at the University of Campinas -- UNICAMP (2003) and PhD in Mathematics at the University of Campinas -- UNICAMP (2009). Assistant professor at the mathematics department of the University of São Paulo since 2012. Has experience in Mathematics, focusing on Differential Geometry and Differential Topology with enphasis on: G-structures, Equivalence Problems, Lie groupoids and Lie algebroids. (Source: Lattes Curriculum)
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In a series of papers, Q. S. Chi, S. A. Merkulov, L. J. Schwachhöfer, M. Cahen and S. Gutt developed a technique for proving the existence of torsion-free connection with prescribed curvature on a G-structure. They noticed that in many cases it was possible to use the desired curvature to deform the Lie-Poisson structure on the semi-direct product of the Lie algebra of G with R^n, obtain…
In the field of differential geometry it is common that one takes interest in geometric structures which satisfy a natural (invariant under diffeomorphisms) differential equation. For a fixed geometric structure and a differential equation defined on the space of such structures, the main objective is to describe the moduli space of the structures under investigation, as well as to classi…
Lie groups are well known to play a central role in modern differential geometry. In fact, since the seminal work of Felix Klein, the very definition of a geometric structure has become intertwined to its symmetry Lie group. However, there are many geometric structures which cannot be described using Lie groups. This may occur for several reasons. Some structures do not have a preferred (…
Lie groups are well known to play a central role in modern differential geometry. In fact, since the seminal work of Felix Klein, the very definition of a geometric structure has become intertwined to its symmetry Lie group. However, there are many geometric structures which cannot be described using Lie groups. This may occur for several reasons. Some structures do not have a preferred (…
A central problem in differential geometry is to understand how geometric structures behave under deformations. Rigidity of a geometric structure means that every other geometric structure of the same kind which is sufficiently close to the original one is equivalent to it. This phenomenon has been observed in many different classical geometries, where it has furnished indispensible insig…
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The central problem in any area of mathematics is the classification of the objects of interest modulo isomorphism. For example, in differential geometry one wishes to classify real manifolds modulo real smooth diffeomorphisms, while in complex geometry one wishes to classify complex manifolds modulo holomorphic diffeomorphisms.Deformation theory is the local counterpart of this question,…
A central problem in geometry is that of understanding the behaviour of geometric structures under deformations. Typically, the final goal is to describe the moduli space of such structures up to an appropriate equivalence relation. Each class of geometric structures comes with its deformation theory, generally including a cohomology theory that controls such deformations. This project in…
In this project, the student will study Morse Theory, as natural extension of the courses in geometry and topology that he took during last semesters. The project will start from elementary theory of Differential Topology, to acquire the knowledge for the study of Morse theory, culminating in the Morse index theorem in Riemannian geometry, and its applications. Such applications include, …
This project lies at the interface of differential geometry and Lie theory, particularly in the connections of the Riemannian and Poisson geometry with Lie groupoids. More precisely, the project is focused on using Lie groupoids as models for singular spaces and developing Riemannian geometry in this context by studying compatible metrics on Lie groupoids, namely Riemannian groupoids. The…
(Only some records are available in English at this moment)
| 2 / 2 | Ongoing research grants |
| 4 / 4 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 7 / 6 | Completed scholarships in Brazil |
| 14 / 13 | All research grants and scholarships |
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