Abstract
This project aims to explore the foundations and main applications of Symplectic and Kähler Geometry in the context of mathematical physics, specifically Classical Mechanics and Quantum Mechanics.
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Associate Professor in the Mathematics Department of University of São Paulo. (Source: Lattes Curriculum)
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(Only some records are available in English at this moment)
This project aims to explore the foundations and main applications of Symplectic and Kähler Geometry in the context of mathematical physics, specifically Classical Mechanics and Quantum Mechanics.
The aim of this project is to develop a study on the basic theory of the mean curvature flow of Riemannian manifolds, which are hypersurfaces of the Euclidean space.
The goal of this project is study on the concept of Clifford algebras, as well as related geometry and topology topics, in order to study some important applications in mathematical physics, such as the study of spinors, the formulation of theories of electromagnetism and special relativity, and a description of spin 1/2 particles.
The main aim of this project is to develop a first study on fractal geometry from an approach of topology and dynamic systems, creating a basis for the development of contemporary research on the subject, such as Fractal Analysis and Theory of Self-Similar Groups.
(Only some records are available in English at this moment)
Elliptic special Weingarten surfaces had an outgrowth in the 90's thanks to the work of Rosenberg and Sa Earp, where they proved that this family satisfies the maximum principle, interior and boundary. The goal of this project is to study elliptic special Weingarten surfaces of minimal type and finite total curvature in the 3-dimensional homogeneous spaces with isometry group of dimension…
The study of geometrical properties of surfaces in homogeneous 3-manifolds is a topic that has received the attention of many geometers in recent years, focusing mainly in surfaces for which some condition in its second fundamental form is required. Recent contributions of authors, which yielded existence results of umbilical surfaces for more general spaces, have paved the way for genera…
6 / 5 | Completed research grants |
1 / 1 | Ongoing scholarships in Brazil |
14 / 14 | Completed scholarships in Brazil |
2 / 2 | Completed scholarships abroad |
23 / 22 | All research grants and scholarships |
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