graduate at Matemática from Fundação de Ensino Octávio Bastos (2003) and master's at Mathematics from Universidade Estadual de Campinas (2008). Has experience in Mathematics, focusing on Geometry and Topology, acting on the following subjects: variedades flag and geodésicas homogêneas. (Source: Lattes Curriculum)
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This proposal's main objective is to advance in the knowledge of the relationship between control systems, sub-Riemannian geometry, and geometry of homogeneous spaces. It will also serve to strengthen the relationship between the visiting researcher and the research group in geometry, dynamical systems, and Lie theory at IMECC, whose collaboration is described through publications and re…
The proposed project consists of applying the Lie theory, to the study of Riemannian and Hermitian geometry on Lie groups and homogeneous spaces.Among the proposed problems are the study of Hermitian curvature flows and the investigation of properties of the scalar curvature of almost Hermitian structures on homogeneous spaces. (AU)
This project stands at the crossroads of complex algebraic geometry and Riemannian geometry to put together a team of Brazilian and French experts from both disciplines with a common goal: enhance our understanding of the interplays between algebraic invariant theory and special connections on bundles and build a transatlantic research group ready to weigh in on the new challenges of Geom…
The proposed project consists of applying Lie theory, in particular semissimple Lie theory, to the study of symplectic and Hermitian geometry of homogeneous spaces.One of the proposed problems is the study of the geometry of the moduli space of $J$-holomorphic curves on homogeneous space; and the study of geometric formality on homogeneous space. (AU)
The goal of this proposal is to summarize the achieved interaction between Hodge theory and Homological Mirror symmetry and introduce new invariants coming from counting non-commutative curves in a given triangulated category. This invariants can be considered as a generalization of classical Gromov Witten invariants. (AU)
(Only some records are available in English at this moment)
The proposed project consists of the study of SYZ mirror symmetry in the context of non-Kähler Calabi-Yau manifolds, with an emphasis on the construction of mirror pairs in the context of solvable/nilpotent manifolds. By the end of the project, the candidate is expected to be able to construct examples of mirror pairs in 8-dimensional solvable manifolds.
This research project is set to investigate the spectrum of Laplace operators on compact Riemannian homogeneous spaces, most prominently the Lichnerowicz Laplacian which is a natural generalization and unification of various Laplace-type operators. The analysis of the spectrum - in particular calculation of the first few eigenvalues and discussion of stability for Einstein metrics - shall…
The proposed project consists of an introduction to the study of symplectic geometry. It is expected that at the end of the project the student becomes familiar with the basic concepts of the theory, as well as some applications in topology and differential geometry.
This postdoctoral research program lies in the area of Riemannian geometry with two main focus: in the subarea of positive/non-negative curvatures, we aim via the study of the geometry and dynamics of exotic spheres, to possibly find invariants and/or hints to the existence/obstruction to metrics with such curvature assumptions on exotic manifolds and manifolds with symmetries in the form…
The proposed project consists of applying topological methods and Lie theoretical methods (Lie groups and Lie algebras) to the study of the Einstein metrics problem in homogeneous spaces. Such techniques will be applied to a family of homogeneous spaces, called real flag manifolds.
(Only some records are available in English at this moment)
The proposed project consists of an introduction to the study of special Lagrangian submanifolds focused on examples. We will concentrate on concrete situations in Cn and Calabi-Yau 3-folds.
This project aims to connect two classical sub-fields in mathematics: Exotic manifolds via their differential topology constructions and spherical T-duality. During the visit period of the student, we aim to straighten the already ongoing collaboration. (AU)
The proposed project consists of applying topological methods and Lie theoretical methods (Lie groups and Lie algebras) to the study of the Einstein metrics problem in homogeneous spaces. Such techniques will be applied to a family of homogeneous spaces, called real flag manifolds. (AU)
(Only some records are available in English at this moment)
| 3 / 3 | Ongoing grants |
| 6 / 6 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 9 / 9 | Completed scholarships in Brazil |
| 7 / 7 | Completed scholarships abroad |
| 27 / 27 | All research grants and scholarships |
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CV Lattes
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