graduate at Bacharel Em Matemática from Universidade de São Paulo (1970), graduate at Engenheiro Eletronico from Universidade de São Paulo (1973), master's at Mathematics from Universidade de São Paulo (1972) and ph.d. at Matemática from University of Rochester (1977). Has experience in Mathematics, focusing on Algebric Topology, acting on the following subjects: classes de nielsen, grupos nilpotentes, classes de reidemeister, pontos fixos and fibrações. (Source: Lattes Curriculum)
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The participants of the project are the two Principal Investigators, Daciberg LIMA GONÇALVES (Universidade de São Paulo) and John GUASCHI (Université de Caen Normandie). The project lies at the interface between topology, algebraic topology and algebra, and the main general areas are surface braid groups, configuration spaces and their generalisations. The scientific project consists in t…
This project is a continuation of the thematic projects 00/05385-8, 04/10229-6, 08/57607-6, 12/24454-8, 16/24707-4 and aims to develop research in Algebraic, Geometric and Differential Topology and Topological Data Analysis. The project consists in the training of human resources in the project's research lines, qualified scientific production and scientific visits both by foreign researc…
The project has two goals on the doamin of fixed point theory. The first consists of classifying for each pair of spherical manifolds of dimension 3 the set of homotopy classes between them. Then for each pair of such homotopy classes determine the invariants Reidemeister classes, índices of the the Nielsen classes and Nielsen number. The second study the homogeneous spaces of the unita…
This project consists in developing research in five areas which are part of Geometry/Topology and there exist active groups in the state of São Paulo. These groups work in (a) Fixed Point and Coincidence Theory; (b) Bordism $(Z_2)^k$-equivariante and Group Cohomology; (c) Topology of the Manifolds; (d) Bordism and Homotopy Theory; (e) Braid Groups; Topological data analysis. The problems…
Our project is related to various aspects of the theory of braid groups, configuration spaces and their generalisations. In problem (1), we shall analyse the homotopy type and the fundamental group of certain orbit configuration spaces, notably for free $Z_2$ actions, and of graph configuration spaces. In problem (2), we investigate the connections between braid and almost-crystallographi…
(Only some records are available in English at this moment)
This project is about the interaction between topology and group theory. The project beginswith important topology concepts, including homotopy, covering spaces,and manifolds and their homeomorphisms. Then we will begin to study problemsof fixed points of homeomorphisms of a particular type of manifolds, the so-callednilmanifolds. The objective is to understand when homeomorphisms of suc…
The present research project has as its goal the construction of foundations of sectional theory in category theory and build bridges between important areas in mathematics. Specifically, this project consists of the following important problems in the field of Geometry and Topology.(1) We define and study a generalization in the category theory setting of the Schwarz genus (it is also kn…
Given a space X where a group G acts freely, consider the n-coordinated configuration space FGn(X), consisting of the n-tuples (x1,...,xn) in X^n such that the intersection between Gxi and Gxj is empty for every i different from j. The relevance of this space is well known. For example, if G is the trivial group, the fundamental group is the n-string braid group of X. Besides that, many q…
This project deals with questions of spaces of configurations that have consequences in the study of braids and Nielsen's fixed point theory for multivalued functions. It has two sub-cases where one of them is about the configuration space where the manifold has dimension two and another case is when the space has dimension bigger than two. As typical questions that are current and explor…
The project aims to introduce the candidate to the calculation of the fundamental group with applications to the study of surfaces, braids and connections to links.
(Only some records are available in English at this moment)
A unified concept of sectional number have been recently introduced by the candidate. He define the $\mathcal{R}$-sectional number $\text{$\mathcal{R}$-sec}$ and the $\mathcal{R}$-mono sectional number $\text{$\mathcal{R}$-msec}$ of a morphism $f$ in a category $\mathcal{C}$ with covers where $\mathcal{R}$ is an equivalence relation over $\text{Mor}_{\mathcal{C}}(c,c^\prime)$ for each $c,…
The project consists in the study of two problems: the first is that of determining the cohomology of certain 3-manifolds known as torus semi-bundles, which admit the Sol geometry. The second problem is that of computing the cohomology rings of the virtually cyclic groups, motivated by the fact that such groups act on homotopy spheres. (AU)
| 2 / 2 | Ongoing grants |
| 18 / 16 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 11 / 5 | Completed scholarships in Brazil |
| 4 / 2 | Completed scholarships abroad |
| 37 / 27 | All research grants and scholarships |
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