CV Lattes
ORCID
Google Scholar Citations
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
She holds an undergraduate degree in Mathematics from the University of Brasília (1980), a Master's degree in Mathematics (1984) and a Doctorate in Mathematics (1985), both from Northwestern University. She is currently a Full Professor at the University of Campinas (UNICAMP). She has experience in Mathematics, with emphasis in Dynamical Systems, using homotopic and homological methods. She employs continuous and discrete Conley index theory. In the field of gradient-like flows, she studies: cobordisms given by isolating blocks and the combinatorics associated with Lyapunov graphs; interactions of dynamics with the topology of manifolds. Her area of specialization also includes other tools such as Continuation, Connection Matrices and Transition Matrices, and Spectral Sequences to study cancellations, bifurcations, etc. in Morse-Smale, Smale, Morse-Bott and Novikov Flows; and Gutierrez-Sotomayor Singular Flows. (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
This proposal's main objective is to integrate within the MathematicsInstitute at UNICAMP, the different research groups interested in investigatinggeometric and topological aspects of dynamical phenomenas. The areasthat are being proposed to be integrated in this project are Control Systems,Dynamical Systems, Stochastic Dynamical Systems, Lie Theory and DifferentialGeometry. There is fre…
This proposal's main objective is to integrate within the Mathematics Institute at UNICAMP, the different research groups interested in investigating geometric and topological aspects of dynamical phenomena. The areas that are being proposed to be integrated in this project are comprised of the Control Systems, Dynamical Systems, Stochastic Dynamical Systems, Lie Theory and Differential G…
(Only some records are available in English at this moment)
In this project , we propose to develop Conley's theory in the context of Morse-Bott and Morse-Novikov flows, associated to Morse-Bott and Morse circular functions, respectively. More specifically, we intend to use the algebraic theory of spectral sequences together with connection matrices to study continuation properties of these flows. We want to associate the topology of the manifol…
In this project we use algebraic spectral sequences to study properties of flow continuation. We wish to associate to the topology of the manifold trajectories that connect critical points of a gradient flow via Conley's connection matrices with integer entries. In other words, we consider a Morse complex with differential being given by a connection matrix with integer entries. We will s…
In this project we will adopt a Morse-Witten approach via Conley index theory to associate the topology of the manifold to the trajectories connecting critical points of a gradient flow which define the moduli spaces. Some of these flow connections are registered in the integer entry connection matrix. We will study the connection and transition matrices which appear in the Sweeping Algor…
(Only some records are available in English at this moment)
Morse theory features very prominently in modern mathematical physics, specifically the Fukaya category of Lagrangian submanifolds of a symplectic manifold, and in the theory of generating functions of Legendrian submanifolds of a first jet bundle. These two examples have overlap: the Lagrangian conormal of a knot in three-space defines a Legendrian submanifold of the contact unit cospher…
The goal of this project is twofold. Firstly, we will investigate chain complex descriptions of dynamical systems and study underlying algebraic and topological properties in order to obtain dynamical informations. This is the case in the well known Morse-Witten chain complex. In this setting, the differential of this complex is given by a connection matrix. Hence, we make use of Conley …
| 1 / 1 | Ongoing grants |
| 11 / 7 | Completed research grants |
| 9 / 5 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 23 / 15 | All research grants and scholarships |
| Associated processes | |