- Research Grants
bachelor's at Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2007), master's at Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2009) and doctorate at Engineering from Universidade Estadual de Campinas (2014). Has experience in Mathematics, focusing on Numbers Theory, acting on the following subjects: hyperbolic geometry, fuchsian group, quaternion order, codificação e modulação and ordem dos quatérnios. (Source: Lattes Curriculum)
In this project, we propose the study of modulations in four dimensions (4D) using concepts of spherical codes, quaternion algebra and discrete Hopf fibrations. Such tools have been shown to be efficient for the construction and labeling of these modulations in the context of coherent optical communications systems.
In this project we propose the study of the theory of error-correcting codes with emphasis in array codes for correction burst errors. Due to the great technological advances and the growing demand for more efficient and secure systems, the theory of error-correcting codes is an area of strong interest nowadays. Algebraic tools are fundamental for the development of this theory, as prin...
It is believed that from 2020 will begin to be implemented in a wireless communication system of fifth generation 5G, this system will bring major challenges for communications services because through it there will be an exponential data growth due to new applications and the substantial increase of number of devices. In this context, we propose in this project the study of machines ty...
Obtain algebraic lattices and ideal lattices via number field and via the canonical homomorphism and its twisted. The goal is obtain algebraic lattices of dimension 3,5 and 7 with good center density and also of ideal lattices with good minimum product distance via cyclotomic fields. (AU)
(References retrieved automatically from State of São Paulo Research Institutions)
BENEDITO, Cintya Wink de Oliveira. Famílias de reticulados algébricos e reticulados ideais. 163 f. Dissertação (Mestrado) - Instituto de Biociências, Letras e Ciências Exatas. Universidade Estadual Paulista. São José do Rio Preto. (07/06381-5)