CV Lattes
ORCID
Abstract
The goal of this project is to introduce the awardee to Intersection Homology Theory: an important set of invariants, which substitute the usual homology in the study of singular varieties.
Advanced search
I got my PhD degree in Mathematics at IMPA in Rio de Janeiro, Brazil, advised by Professor Hossein Movasati. From October 2022 to August 2023, I worked at the Mathematical Physics Group in Heidelberg University, with supervision from Professor Johannes Walcher, with a grant from PRINT/CAPES (process 88881.690115/2022-01). My research interests center around enumerative aspects of Algebraic Geometry, Hodge theory and its relations with Physics. Lately, I've been working in the field of A-enumerative geometry. I'm interested in understanding how Physical invariants can be realized in this context, but also on more general enumerative problems. In a different direction, I've also been working on modularity properties of Gromov-Witten invariants and on its Hodge theoretical properties. I have special interest on the geometry of real/open physical invariants and its arithmetic generalizations. My other interests include Singularity Theory and Symplectic Geometry.I finished my undergratuate studies at ICMC - USP in São Carlos, Brazil, with a semester spent in Leibniz Universität in Hannover, Germany. (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
Scholarships in Brazil
- Intersection homology and applications to singularity theory, BP.IC
- Introduction to complex analytical geometry, BP.IC
Abstract
Subsets of complex spaces, affine or projective spaces defined by polynomial equations are studied in Algebraic Geometry. Examples are quadrics, cubics, etc. In Analytic Geometric the first objects of investigations are subsets of these spaces defined by analytic equations. As every polynomial is an analytic function, this set of objects contains the first one. Furthermore, the study of a…
- Transcendental methods of algebraic/complex geometry in hyperbolic geometry, BP.IC
Abstract
Transcendental methods of algebraic/complex geometry are becoming more and more efficient in hyperbolic geometry (see, for instance, the recent scientific events dedicated to such interplay: "Algebraic geometry and hyperbolic geometry - new connections", "Hyperbolicity 2015", "Hyperbolic geometry and dynamics", "Monge-Ampere equation and Calabi-Yau manifolds"). The goal of the project is …
Scholarships abroad
- Tjurina transform and determinantal singularities, BE.EP.IC
Abstract
The project proposes the study of determinantal singularities and of one of the main tools in this area: the Tjurina Transform. This is a way of apply the knowlege of Algebraic and Analytic Geometry obtained earlier. The main reference for this will be the article "On determinantal singularities and Tjurina Transform" by Anne Frühbis-Krüger. (AU)
Total / Available in English
| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 4 / 4 | All Scholarships |
| Associated processes | |