graduation at Bacharelado em Matemática from Universidade de São Paulo (2002) and doctorate at Mathematics from Universidade de São Paulo (2007). Has experience in Mathematics, acting on the following subjects: teoria das singularidades, singularity theory, matemática, classes características and topologia. (Source: Lattes Curriculum)
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The study of characteristic classes in singular spaces has established itself as one of the most active fields in contemporary mathematics, providing powerful tools for understanding the geometric and topological structure of singular varieties. In this context, the interplay between intersection homology, characteristic classes, and mixed Hodge structures has unveiled new perspectives an…
Singularity theory has wide applications to several areas of science such as optics, robotic and computer vision, and interacts with several areas of mathematics, among which we highlight the algebraic geometry and algebraic topology, commutative algebra, differential and affine geometry, the qualitative theory of ordinary differential equations, dynamical systems, and bifurcation theory.…
In this project we intend to study feature classes through two distinct constructions, one using the language of currents, defined by de Rham and the construction using the concept of transversality developed by Cisneros-Molina. (AU)
In this project we will work with Professor Gaffney two distinct lines of work. One addressing Lipschitz geometry and the other the study of invariants defined in determinantal varieties. (AU)
This project has two strands. In the first one, we propose to investigate the calculation of invariants related to the study of characteristic classes such as the Euler obstruction and Brasselet number (in global and local configurations).In addition to this, the second one proposes to investigate the topology of a differentiable variety through the critical set of applications defined on…
(Only some records are available in English at this moment)
In the field of topology, intersection homology, developed by Marc Goresky and Robert MacPherson in 1974, serves as a fundamental tool for investigating singular spaces, offering a complementary approach to singular homology. While singular homology applies to regular spaces, intersection homology is tailored to handle singularities by introducing "allowable" cycles that preserve the noti…
The study of characteristic classes of singular varieties is a current theme and has been widely used in various areas of Science. The purpose of this project is to study Schwartz-MacPherson classes through the means of the Classical Singularity Theory. The central approach of the project is the use of Thom's polynomials, which will provide an appropriate set of tools for the development …
In topology, intersection homology is analogous to singular homology, especially suited to the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in 1974 and developed by them in the following years.The homology groups of a compact, oriented and connected n-dimensional manifold X have a fundamental property called Poincaré duality. Classically, going back, for exam…
The study of vector fields in the vicinity of a singularity, or stationary point, is a topic widely studied due to its importance in several branches of mathematics and its applications in other areas of science, such as biology, meteorology and so on. Often, when we intend to equate certain phenomena, we come across equations that involve variations of certain quantities considered essen…
The study of vector fields in the vicinity of asingularity, or stationary point, is a widely studied topic due to its importance in various branches of mathematics and its applications in other areas of science, such as biology, meteorology and etc. Often, when we want to equate certainphenomena, we are faced with equations that involve variations in certain quantities deemed essential. T…
(Only some records are available in English at this moment)
The study of Characteristic Classes of singular spaces is a current theme, which has been widely used in several areas of science. The objective of this project is to study Schwartz-MacPherson classes through the bias of classical Singularity Theory and intersection homology, which will provide an appropriate tool for the development of questions that generalize classical problems in Sing…
In this project we will work with intersection homology as a tool in the study of application singularities. (AU)
The study of characteristic classes of singular varieties is a current theme and has been widelyused in various areas of science. The purpose of this project is to study Schwartz-MacPhersonclasses through the means of the Classical Singularity Theory. The central approach of the project is the use of Thom Polynomials, which will provide an appropriate set of tools for the development of q…
(Only some records are available in English at this moment)
| 2 / 2 | Ongoing grants |
| 10 / 9 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 22 / 18 | Completed scholarships in Brazil |
| 7 / 7 | Completed scholarships abroad |
| 43 / 38 | All research grants and scholarships |
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CV Lattes
ORCID