bachelor's at Bacharelado Em Matemática from Universidade Federal Fluminense (2002), master's at Mathematics from Universidade Federal Fluminense (2005) and doctorate at Mathématiques Pures from Institut de Mathématiques de Toulouse (2009). Has experience in Mathematics, focusing on Defferential Geometry, acting on the following subjects: seifert manifolds, geometric structures, hyperbolic cone-manifolds, fibration theorem and metric geometry. (Source: Lattes Curriculum)
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This research project is divided into two parts. In the first one we are interested in studying Weingarten surfaces, that is, surfaces in which there is a (possibly nonlinear) relationship between their principal curvatures. Almost all works in the literature deal with the linear case, however the techniques used in them do not apply to the nonlinear case. We will seek in our investigatio…
This research project concerns Riemannian surfaces and it is divided into three parts..In the first part of the project we are interested in studying Weingarten surfaces, that is, surfaces whose principal curvatures verify a certain relation (generally polynomial) over the entire surface. In the second part of the project we are interested in studying self-shrinkers surfaces that appear w…
In this project we want to develop a study about geometric manifolds and orbifolds of dimension 3. That is, manifolds and orbifolds obtained from the quotient of the eight model geometries of Thurston by discrete groups of isometries. Special attention will be given to Sol and hyperbolic classes.In the first part of the project, we are interested in classifying the double coverings and th…
Geometric Analysis is a frontier area of Mathematics that, as the name implies, relates Analysis to Geometry. In a nutshell, Geometric Analysis uses the theory of Partial Differential Equations (especially Elliptic theory) to solve problems of Geometry and/or Differential Topology.The use of analytical techniques in Geometry is not new, but it gained much prominence from the 80's (and rem…
This project aims to develop an introductory study of the domain of Geometry called Geometric Analysis, whose value nowadays is unquestionable. The usage of analytical techniques in geometry not only provides a generalization of classical analysis, but also allowed important advances in the last century, such as the study of the Heat Kernel by S. T. Yau and contributions on geometric flux…
A Weingarten surface S in a three-dimensional Riemannian (or semi-Riemannian) manifold is a regular surface whose principal curvatures k1 and k2 verify a relationship (usually polynomial, but not necessarily) P (k1, k2) = 0. Since the mean and Gaussian curvatures H and K determine/are determined by the principal curvatures of S, the relation P can always be rewritten in the form Q (H, K) …
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We will study the Almgren-Pitts Min-Max method to construct and analyze minimal surfaces. Our research will be guided by the recent article Rigidity of min-max minimal spheres in three-manifolds, by F. C. Marques and A. Neves, where it is proved, among other results, that any metric on a three-sphere which has scalar curvature greater than or equal to 6 and is not round must have an embed…
| 3 / 3 | Completed research grants |
| 9 / 9 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 13 / 13 | All research grants and scholarships |
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CV Lattes
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