CV Lattes
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Universidade Federal do ABC (UFABC). Centro de Matemática, Computação e Cognição (CMCC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor degree at Corso di Laurea in Matematica from Università degli Studi di Milano (2001), master's at Eq. Derivadas Parcias e Apl. from Université Paris IX-Dauphine (2002) and doctorate at Mathématiques Pures from Université Paris-Sud 11 (2006). Adjoint Professor of UFRJ-Universidade Federal do Rio de Janeiro (2011-2018). He is currently Associate Professor III at Universidade Federal do ABC. Habilitation as PhD's advisor and Master's degree advisor.Abilitazione Scientifica Nazionale alle funzioni di Professore di seconda fascia (Associato) settore 01/A3 Analisi Matemática 2023-2034, MUR-Itália.Abilitazione Scientifica Nazionale alle funzioni di Professore di seconda fascia (Associato) settore 01/A2 Geometria 2023-2034, MUR-Itália. Has experience in Mathematics, focusing on Differential Geometry, acting on the following subjects: calculus of variations, Geometric Analysis, Non-linear Analysis, Riemannian Geometry, Isoperimetry, Metric Geometry, Geometric Measure Theory, Plateau's problem, Phase Transitions and Gamma Convergence (Source: Lattes Curriculum)
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In this project, our objective is to establish the theorem of photography for compact Riemannian manifolds with boundary. Subsequently, we will extend these results to systems with boundary and non-local operators on both Riemannian manifolds with and without boundary. This ambitious endeavor is expected to yield a substantial body of work, comprising at least six articles over a period o…
Geometric variational problems are among the most fascinating problems of the calculus of variations. A lot among the most interesting problems of differential geometry are variational in nature. The solution to such problems describes equilibrium shapes of physical systems or give selected representative belonging to particular class of homology and homotopy. To study existence multiplic…
The Calculus of Variations is an active area of research with connections and applications in various branches of Mathematics and Mathematical Physics. This project aims to introduce the student to some modern approaches in the calculus of variations, involving tools from Nonstandard Analysis and Topos Theory, preparing them to engage with current research and facilitating their integrati…
In this scientific initiation project, we aim to study possible applications of Deep Learning techniques for a better understanding of the Plateau problem, and conversely, to apply techniques specific to the Plateau problem for the construction of new types of deep learning neural networks.
The student will essentially study the problem of associating a Q-valued function graph to a current as described in papers[AJ76, DS15], using part of the material in [DS11].
(Only some records are available in English at this moment)
In this project, we would like to research the Van der Waals-Allen-Cahn-Hilliard equation and obtain multiple solutions for the systems involving this equation with a volume constraint using a photography map. One of our goals is to develop a Sobolev inequality with weights for non-radial functions using a weighted isoperimetric inequality. Also, we would appreciate developing some inequa…
In this post-doctoral project at IME-USP, we intend to investigate some questions about isoperimetry and constant-mean-curvature hypersurfaces in symmetric spaces and more general spaces, by using and developing techniques in geometric measure theory, metric geometry, Riemannian geometry, Riemannian foliations, Calculus of variations and related fields.
This BEPE project outlines the scientific articles we plan to develop under the guidance of the esteemed researcher Aldo Pratelli from the Università di Pisa. Our goal is to bring to S\~ao Paulo the advanced techniques from his expertise in Geometric Measure Theory. Specifically, we aim to establish diameter bounds for small-volume isoperimetric clusters on Riemannian and Finsler manifold…
The Plateau's problem investigates those surfaces of least area spanning a given contour. The very formulation of the Plateau's problem has proved to be a quite challenging mathematical question. In particular, how general are the surfaces that one should consider? What is the correct concept of ``spanning'' and the correct concept of "$m$-dimensional volume'' that one should use? We beli…
| 2 / 2 | Ongoing grants |
| 4 / 4 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 1 / 1 | Completed scholarships abroad |
| 10 / 10 | All research grants and scholarships |
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