CV Lattes
Universidade de São Paulo (USP). Instituto de Física (IF) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Bacharelado Em Física from Universidade de São Paulo (1986), master's at Physic from Universidade de São Paulo (1989) and doctorate at Physics from Syracuse University (1994). Has experience in Physic, focusing on General Theory of Particles and Fields, acting on the following subjects: noncommutative geometry and topological quantum field theory. (Source: Lattes Curriculum)
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Quantum field theories on non-commutative spaces do not have symmetries described by the action of a group. However it is possible to generalize the definition of action of a group to a action of a Hopf algebra. We would like to investigate examples of quantum field theories in non-commutative spaces where the usual symmetries are deformations of the usual ones. (AU)
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This project consists of an introduction to hyperbolic geometry and the theory of knots. It is expected that by the end of the project the student is able to understand the statement of Thurston's theorem on the geometrization of a knot complement in dimension 3.For this to be possible the student will develop a program of studies in basic topology, knot theory, and hyperbolic geometry. …
Using a mathematical formalism borrowed from topological field theory weassociate a vector space H with a two-dimensional structure of algebra and co-algebrafor each model studied. A procedure already developed for G = Z2 allows us,by performing a chage of basis on H to obtain a new model equivalent to thefirst. However, this procedure does not extend to the groups G = Zn, n> 2.In this pr…
Topological quantum field theories (TQFT) is now a subject of greatinterest in physics due to its relevance to topological order andtopological quantum computation. In this context, it is of primeimportance to know which systems can bedescribed by a TQFT in the limit of large distances and low energy. In this project we investigate an Euclidean version of this problem.We consider gauge th…
(Only some records are available in English at this moment)
Topological behavior manifests itself through non-local effects at low energies in condensed matter physics. They lead to new phases of matter which are beyond the symmetry breaking scheme of Landau's classification. The systems exhibiting such phases are called topologically ordered systems. These phases are described by topological field theories in the continuum and in the discrete set…
| 9 / 8 | Completed research grants |
| 14 / 6 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 24 / 15 | All research grants and scholarships |
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