graduation at Matematica from Universidade de Sofia (1991), master's at Matemática from Universidade de Sofia (1993) and doctorate at Matemática Pura from Universidade de Cambridge (1997). He is currently professor titular at Universidade Estadual de Campinas. Has experience in Mathematics, acting on the following subjects: grupos metabelianos, dimensão cohomológica de grupos, grupos de tipo de nós, grupos de tipo homológico fpm and álgebras de hopf. (Source: Lattes Curriculum)
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The project studies self-similar Lie algebras and related topics. Our principal project is to show using methods from homological algebra that the Fibonacci Lie algebra is infinitely presented i.e. is not finitely presented. We will study important concepts as virtual endomorphisms of self-similar Lie algebras and new examples of self-similar Lie algebras. (AU)
Most of the project will be dedicated to Lie and Jordan algebras and superalgebras and their representations. In addition, Malcev and alternative algebras and superalgebras will be considered, Moufang loops and various generalizations and applications of above. Algebraic systems related to integrable systems of differential equations will be considered. Homological methods will be applied…
We aim to construct examples of self-similar metabelian groups of type FPm and check whether they have finite states. As well, we will study when "wreath" Lie algebras have homological type FPm or are finitely presented. (AU)
The project contains 4 main problemas about the homological type FPm:1. Lie algebras of type FPm that are sub-algebras of finite direct sum of free Lie algebras2. pro-p version of group chi(G) i.e. the weak-commutativity group defined by Sidki3. The homological type FPm of the group E(G) defined recently by Dantas and Sidki4. Homological properties of the fibre product in group theory (A…
Our research project is in the field of Group Theory and will be performed at the State University of Campinas (UNICAMP) in the period 5th of March of 2012 to the 5th of Augost of 2012 together with Prof. Pavel Zalesski (UnB).The aim of the project is to obtain results about residually free pro-p groups and pro-p limit groups using homological methods and methods of the pro-p version of…
(Only some records are available in English at this moment)
The research project is about the homological invariants of Bieri-Neumann-Renz-Strebel that will be studied following an article of Bieri-Renz. The project involves the study of homological algebra, finitely presented groups and groups of homological type FPm, and we will follow books by Bieri, Brown, Cohen and Rotman.
We will study homotopical properties ( as finite presentability) and homological properties ( as homological type FP2) of subgroups of direct product of groups. In order to develop the project we will use techniques from homological algebra and group theory.
We will study when a metabelian restricted Lie algebra has homological type FPm generalizando a recent result of Kochloukova and Leon. As well we will study the weak commutativity construction for restricted Lie algebras and groups with the aim to generalize some recent structural results of Bridson, Kochloukova, Martinez-Perez, Mendonça. (AU)
This Scientific Initiation project is about group theory starting with basic properties of groups, homomorphisms, quotient groups and finishing with more complex notions of geometric group theory as free groups, free products with amalgamations and HNN extensions. (AU)
In this project the student will study groups from the point of view of computer science. The first goal will be to read the paper by Holt, Rees, Röver and Thomas on co-context-free groups. These groups form the currently studied step of the Chomsky hierarchy of groups with respect to automata and which previously classified all finite groups and all virtually free groups. We will then st…
The first topic of the project is to study the Sigma theory of wreath products and of the class of groups defined in P. H. Kropholler, A. Martino, arXiv:1407.0302. Some partial results on the Sigma theory of wreath product were already obtained inBartholdi, de Cornulier, Kochloukova, Q. J. Math. 66 (2015), no. 2, 437 - 457.During his master thesis the student studied the paper of Bart…
(Only some records are available in English at this moment)
The research project treats two problemas : 1. Isoperimetric functions of metabelian groups, em particular exemples of metabelian groups that embed in finitely presented metabelian groups with isoperimetric polynomial functions. 2. Isoperimetric functions of the Sidki construction X(G) and structural results for X(G), in particular when X(G) is residually free, torsion- free and of finite…
We will study a Lie algebra version of the group X(G) defined by Prof. Sidki (UnB). For a Lie algebra L (over a field) we will study the existance of an abelian ideal W of X(L) such that the quotient X(L)/ W is a subdirect Lie sum of 3 copies of L. Our goal is to find Lie algebra version of the group theoretic properties of X(G), adapting group theoretic results to the theory of Lie alg…
| 2 / 2 | Ongoing research grants |
| 9 / 6 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 13 / 7 | Completed scholarships in Brazil |
| 3 / 2 | Completed scholarships abroad |
| 30 / 20 | All research grants and scholarships |
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