CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation for the last research proposal) Birthplace: Brazil
bachelor's at Licenciatura em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2004), master's at Mathematics from Universidade de São Paulo (2007) and doctorate at Mathematics from Universidade de São Paulo (2009). Has experience in Mathematics, focusing on Defferential Geometry, acting on the following subjects: torção analítica, teorema de cheeger-müller, torção de reidemeister. (Source: Lattes Curriculum)
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Since the famous Index Theorem of Atiyah and Singer, the relation between tools from different areas of Mathematics has applications in different lines of research. We propose the investigation of geometric/analytical elements of manifolds and pseudomanifolds, such as spectral invariants and geometric analysis. This project is a continuation of FAPESP Project 2018/23202-1. (AU)
We propose to do research in two questions of a topological nature that arose from the study of complex structures on manifolds with conical singularities. Both questions (pertaining to classifying spaces and tensor products) are motivated by the same principle that underlies non-commutative geometry: knowing a lot about an object (for instance topological), and having another of a differ…
We propose the study of the spectral geometry and the geometric/analytic elements involved in spectral invariants of singular spaces with the aim to obtain a geometric/topological description of this invariant. We still propose the study of these invariants in an abstract context. (AU)
We propose the study of spectral geometry and geometric/analytic elements involved in Analytic Torsion of smooth spaces and singular space with the aim to obtain a description geometric/topologic of this invariant. (AU)
(Only some records are available in English at this moment)
In this project, we propose to investigate the computation of the Brasselet number in the global configuration, in the case of polynomial functions defined on toric varieties. In addition, we intend to use information from the toric varieties to study such invariants for classes of varieties which are related to toric geometry, such as non-degenerate complete intersections and determinant…
We propose to study the extremals of regularized determinants of Laplacian and the isospectral sets in surfaces. We will follow the works of B. Osgood, R. Philips e P. Sarnak. (AU)
In this proposal, we aim at studying the foundational elements of Differential Geometry. Once acquainted with those structures, we examine the modern theory of General Economic Equilibrium. (AU)
(Only some records are available in English at this moment)
We propose the study of surfaces with asymptotically cusps ends with the aim to present the full asymptotic expansion of the heat kernel trace and to present uniformization results following the works of B. Osgood, R. Philips and P. Sarnak.
| 2 / 2 | Ongoing research grants |
| 5 / 5 | Completed research grants |
| 6 / 5 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 14 / 13 | All research grants and scholarships |
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