Nelson José Rodrigues Faustino
updated at March 14th 2023
Author IDs
Scopus Author ID: 14029839500
ORCiD: 0000-0002-9117-2021
ResearcherID: D-3702-2013
Ciência ID: A719-B89E-F3B9
MR Author ID: 789193
Author ID: faustino.nelson-jose-rodrigues
arXiV ID: https://arxiv.org/a/faustino_n_1
Research Interests
My research interests encompass a diversity of 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).
NEWS
March 2023:
- Paper entitled On fractional semidiscrete Dirac operators of Lévy-Leblond type is under preparation to be published soon at Mathematische Nachrichten.
January 2023:
- I will be one of the speakers of the International Conference on Mathematical Methods in Physics that will takes place in Marrakesh, Morocco, in the end of April 2023.
- Paper entitled `Structurally damped σ−evolution equations with power-law memory‘ (jointly with Jorge Marques) presented on CIDMA Meeting 2023 (9-10 January 2023, Aveiro).
Course Materials (In Portuguese)
Slides de Estatística II
Caderno Teórico-Prático de Matemática I
Livro de Exercícios de Bases Matemáticas
eBook de Funções de Várias Variáveis
Past Experiences
Invited Professor at Faculty of Economics, University of Coimbra
(2020-2022)
During the academic year of 2020/2021 I’ve taught three (3) different courses – Álgebra Linear, Cálculo II & Matemática I – for undergraduate students of Economics & Management. And on the academic year of 2021/2022 four (4) different courses – Cálculo I, Estatística, Estatística I and Matemática I.
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
(2013- 2016)
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
(2010- 2013)
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 taught regular and online courses devoted to topics of fundamental mathematics.
Nelson Faustino's website 