CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
She holds a bachelor's and a teaching degree in Mathematics from Universidade Presbiteriana Mackenzie, as well as a master's, PhD, and postdoctoral degree from the University of São Paulo (USP), in addition to a research period at the Academy of Sciences of the Czech Republic. She is currently a Full Professor in the Department of Mathematics at the Institute of Mathematical and Computer Sciences (ICMC) of USP, where she leads the research group on Differential Equations, Dynamical Systems, and Non-Absolute Integration. Her research focuses on Non-Absolute Integration, with sophisticated applications to Generalized Ordinary and Stochastic Differential Equations a field that connects deep mathematical theory to modern and interdisciplinary problems.Throughout her career, she has supervised 14 doctoral theses, 9 master's dissertations, 35 undergraduate research projects, and 4 postdoctoral fellows. She has a passion for mentoring challenging undergraduate research projects. Notably, she has been involved in training Aeronautical Engineering students, guiding projects focused on the mathematical modeling of flight dynamics for various types of drones, including hexacopters, monocopters, squirrel-type drones, and others.She serves on the editorial board of the journal Differential Equations and Applications and plays an active role in academic-administrative activities: she has served as coordinator of the Graduate Program in Mathematics, head and deputy head of the Department of Mathematics, and coordinator of the Mathematics Bachelors Program at ICMC-USP. She is currently the Vice-President for Graduate Affairs of the Brazilian Mathematical Society (SBM), a member of the ENAMA Council (National Meeting on Analysis and Mathematical Applications), and of the Scientific Council of the Foundation for the Advancement of Physics and Chemistry (FAFQ). Her work stands out for both its academic impact H-index of 15 in SCOPUS and ISI and her commitment to student development, pedagogical innovation, and institutional initiatives aimed at enhancing teaching quality and student retention. (Source: Lattes Curriculum)
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We are investigating results on oscillations and non-oscillation of solutions of Nonlinear Functional Differential Equations and Generalized Ordinary Differential Equations and the participation of a renowned researcher in the subject is very important for us. The objectives of the visit are, therefore, the development of some stages of the mentioned project and the strengthening of the i…
(Only some records are available in English at this moment)
This project proposes a systematic study of stochastic models applied to neuronal firing dynamics, with a focus on first-passage times. It will analyze both classical models and recent generalizations based on diffusion processes with and without jumps, such as Ornstein-Uhlenbeck, Feller, and Jacobi processes with non-local jumps. The goal is to compare the ability of each model to repres…
The increasing application of unmanned aerial vehicles (UAVs), especially quadrotors, demands advanced modeling and control techniques. This project proposes a stability analysis of quadrotors using the Euler-Lagrange method, a rigorous mathematical approach for deriving the equations of motion in six degrees of freedom (6DOF). The study includes the formulation of dynamic equations and m…
The objective of this project is to introduce the candidate to participation in scientific projects in the field of Drones. Initially, the candidate must study the equations of aircraft motion and then concentrate on the equations that model the flight of Squirrel-type drones.
(Only some records are available in English at this moment)
The project's goal is to begin a formal study in Measure and Integration Theory, focusing on the Lebesgue integral. It is intended to apply the results studied to Convolution Theory.
The objective of this project is to provide the candidate with the opportunity to deepen their studies of the mathematical tools used in Quantum Mechanics. Thus, our proposal is that he investigates the theory of operators in Hilbert spaces and its applications to Quantum Mechanics. As a secondary objective, we believe that it is pertinent and necessary for the candidate to produce notes …
The objective of this project is to initiate the candidate in the process of participating in scientific projects in the field of impulsive differential equations (we write, for a short time, IDEs) and their applications to the study of population dynamics (survival, extinction, etc.) of populations in environments with limited food. (AU)
(Only some records are available in English at this moment)
This project aims to develop a constructive theory of integration on Kuelbs-Steadman spaces $KS^p$ over the space $\mathbb R^\infty$, extending the recent advances of T. Gill and T. Myers on Lebesgue measures in separable Banach spaces. The $KS^p$ spaces, defined via the Kurzweil-Henstock integral, are particularly well-suited for handling highly oscillatory functions, with relevant appli…
The project to be developed aims to understand the asymptotic dynamics of the Big Bang. Thus, we will use appropriate models in the form of ordinary differential equations, so that the theory of dynamical systems can infer properties of the solutions to these equations.
This project focuses on establishing and developing the foundational concepts of Itô-Henstock Random Ordinary Differential Equations (RODEs). The aim is to define a theoretical framework for RODEs, incorporating the Itô-Henstock integral into their integral forms. An additional objective is to explore the relationship between Itô-Henstock RODEs and Itô-Henstock Stochastic Differential Equ…
Our research project is located in Mathematical Analysis, more specifically, in the area of Non-Absolute Integration related to the Henstock-Kurzweil integral and applications of this theory to differential and integral equations. The main objective of this project is to continue our scientific research in the development of the theory and applications of the Henstock-Kurzweil integral. I…
(Only some records are available in English at this moment)
| 1 / 1 | Ongoing grants |
| 18 / 16 | Completed research grants |
| 6 / 6 | Ongoing scholarships in Brazil |
| 34 / 26 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 6 / 6 | Completed scholarships abroad |
| 66 / 56 | All research grants and scholarships |
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