Ph.D. in Mathematics from Boston University (2005). Has experience in Mathematics, acting on the following subjects: fisica matematica. (Source: Lattes Curriculum)
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The aim of this project is to investigate the deformations of Poisson- Nijenhuis structures induced by a two-form satisfying a suitable integrability condition. From a strictly geometrical point of view these deformations are naturally related to the gauge transformations of the Dirac structures underlying the original Poisson- Nijenhuis manifold. On the other hand from the view point of …
The project aims to recast the analysis of the complete integrability of the q-deformed rational Calogero-Moser system in the framework of the Hamiltonian reduction and, more generally, to study the correspondence between rank-one condition and integrable systems from the point of view the Hamiltonian formalism. (AU)
This research project aims at a deeper understanding of the mathematical aspects of a class of Hopf algebras of combinatorial type. The central object of this project is a family of closely related Lie admissible algebras known as pre-Lie algebras. More precisely, we aim to study the Hopf sub-algebra of the circle rooted trees that play the same role as the Hopf sub-algebra of ladder gra…
We are planning to complete a part of the on going project Calogero-Moser systems and bi-Hamiltonian geometry. Moreover, since Professor Gregorio Falqui is a co-author of the book The Geometry of Integrable Systems: an introduction (authors: Ugo Bruzzo, Gregorio Falqui e Igor Mencattini) which is currently in the final phase of preparation, the visit of Professor Falqui will be very benef…
(Only some records are available in English at this moment)
This project aims to introduce the theory of finite-dimensional, semi-simple Lie algebras, emphasizing both classification and the construction of explicit models of these algebraic structures.(AU)
This project has a main goal to introduce the basics concepts of category theory and some of its applications.
In this project we will study some aspects of Lie theory and some of its interactions with symplectic geometry. In particular we will investigate under which assumptions a connected Lie group G acting on a connected symplectic manifold (M,É) via symplectomorphisms, admits a central extensions G2 acting as a group of symmetries of a pair (L,±) of a principal R/D-bundle, where D is a discre…
We aim to study an elementary proof that the so called Ramanujan graphs form a family of expander graphs. To this end, after introducing the elementary notions from algebra and graph theory we will first introduce the concept of Cayley graph, then we consider the Ramanujan graphs and we will prove that they form an expander family.
(Only some records are available in English at this moment)
Since the inventions of cluster algebras (2001) by S. Fomin and A.Zelevinsky, motivated for the study of dual canonical bases and total positivity in semisimple groups, relations with Poisson geometry and Integrable systems were developed. The notion of Poisson bracket compatible with a cluster structure, introduced by M.Gekhtman, M.Shapiro and A.Vainshtein, was used to interpret cluster …
| 1 / 1 | Ongoing research grants |
| 5 / 5 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 8 / 8 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 16 / 16 | All research grants and scholarships |
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CV Lattes
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