CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation for the last research proposal) Birthplace: Itália
He obtained the bachelor in Mathematics at Università degli studi di Bari (Italy, 2006), master in Mathematics at Università degli studi di Bari (2008) and Ph.D. in Mathematics at Università degli studi di Bari (2011). He was a post-doc researcher at Bulgarian Academy of Sciences (Sofia, Bulgária) in 2011. He was an Associate Professor at Universidade Estadual de Campinas (SP-Brazil) from 2012 to 2020. Actually he is an Associate Professor at Università degli studi di Bari and is a collaborator of the posgrad program of the Universidade Estadual de Campinas. He has experience in Mathematics, focusing on Algebra, acting on the following subjects: polynomial identity algebras (PI-algebras) and co-structures (coalgebras, bialgebras, Hopf algebras). (Source: Lattes Curriculum)
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We are going to work with algebras with polynomial identities both associative and non-associative. We shall also investigate on Hopf algebras action on Polynomial identities algebras and the consequences of such action on the identities. It is worth mentioning the generalized Hopf algebra action contains involutions and gradings by a group. Moreover we would like to investigate on Novick…
One among the most interesting problems in the area of algebra is the Spechtproblem. In particular, in the case of PI-algebras, the Specht problem has thefollowing form: let A be a PI-algebra over F such that it is finitely generated, thenis it true that the T-ideal of A has a finite number of generators as a T-ideal? In afamous work, Kemer solved into affirmative the previous question in…
One among the most interesting problems in the area of algebra is the Specht problem. In particular, in the case of PI-algebras, the Specht problem has the following form: let A be a PI-algebra over F such that it is finitely generated, then is it true that the T-ideal of A has a finite number of generators as a T-ideal? In a famous work, Kemer solved into affirmative the previous questio…
The principal study of this research is the symmetric group Sn and its representations which can be couched in the language of modules. In this project, we shall study R-modules. It is important to recall that modules are a generalization of the notion of vector space, i.e., we allow scalars to be elements of R, where R is an arbitrary ring. The importance of studying modules relies is in…
In this master's studies the beneficiary will continue aspects of the research found in the article "Zariski Closed Algebras in Varieties of Universal Algebra" of Belov-Kanel, Giambruno, Rowen and Vishne, concerning the research of Zariski closed algebras representable over an arbitrary integral domain using techniques from the theory of universal algebras.To better explain the concepts i…
This project aim at studying the growth of finitely presented algebras. These are quotient algebras of the free algebra on the words of a finite set X, such that the ideal related to this quotient possesses a finite number of generators. We intend to define a notion of growth to these algebras and study their asymptotic behaviour. The study will be divided in some parts. First, the studen…
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| 3 / 3 | Completed research grants |
| 4 / 4 | Completed scholarships in Brazil |
| 7 / 7 | All research grants and scholarships |
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