Nelson José Rodrigues Faustino
updated at 21st July 2021
Scopus Author ID: 14029839500
Ciência ID: A719-B89E-F3B9
MR Author ID: 789193
arXiV ID: https://arxiv.org/a/faustino_n_1
My research interests encompass a diversity of research topics such as harmonic analysis, hypercomplex analysis, numerical analysis and mathematical physics. Currently I’ve turned my attention to the [possible] blend between stochastics, harmonic analysis and fractional calculus as well.
From the paper Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: A Bayesian probability perspective (2017) you may exploit further applications on the crossroads of quantum physics and Bayesian statistics.
Interesting enough, on my recent paper entitled Time-Changed Dirac–Fokker–Planck Equations on the Lattice (2020) you may find keywords like stochastic processes of Bessel type and Hurst parameter (ubiquitous on several applications of financial mathematics).
July 2021: Preprint entitled On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations was accepted for publication at Mathematical Methods in the Applied Sciences. On August 3, 2021, the results of this paper will be presented remotely at 13th ISAAC Congress on the thematic session Session 9 Integral Transforms and Reproducing Kernels (see, for instance, pages 14 & 102 of ISAAC_schedule_abstracts.pdf (ugent.be)).
May 2021: Preprint entitled On fractional semidiscrete Dirac operators of Lévy-Leblond type is out now at arXiv and ResearchGate as well.
January 2021: Became Topic Editor of ‘Symmetry‘ journal.
Course Materials (In Portuguese)
Caderno Teórico-Prático de Matemática I
Livro de Exercícios de Bases Matemáticas
eBook de Funções de Várias Variáveis
Invited Professor at Faculty of Economics, University of Coimbra (since 2020)
During the academic year of 2020/2021 I’ve taught three different courses – Álgebra Linear, Cálculo II & Matemática I – for undergraduate students of Economics & Management.
On the course of Matemática I I’ve committed with the development of lectures notes (currently, under development).
Visiting Professor at Federal University of UFABC
(2016 – 2020)
Research and teaching duties involved. I have organized the “Symposium on Clifford Algebras, Mathematical Physics and Related Topics“. Also I was on jury on two (2) PhD defenses and I have supervised two (2) young studends through the “Researcher Program from Day One” hosted at UFABC.
Post-Doctoral Researcher at State University of Campinas
Position funded by Fundação do Amparo à Pesquisa do Estado de São Paulo (FAPESP) with reference 13/07590-8. Despite my research work, I have teached two (2) courses during the academic year of 2014.
Post-Doctoral Researcher at Centre of Mathematics, University of Coimbra
Position funded by Fundação para a Ciência e Tecnologia (FCT) with reference SFRH/BPD/63521/2009. During this period I was member of the project Frame Design funded by Fundação para a Ciência e Tecnologia (FCT)
Despite my research work, I have teached two (2) courses during the academic years of 2010/2011 and 2012/2013 at FCTUC.
Invited Adjunct Professor at IPLeiria
(2009 – 2010)
This was my first teaching experience after my PhD studies. I have taught regular and online courses devoted to topics of fundamental mathematics.