Nelson José Rodrigues Faustino
updated at 1st January 2022
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 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).
News
December 2021:
End of the teaching duties of the first semester. Three different courses – Cálculo I, Estatística & Matemática I – were taught for seven different classmates, counting a total of 91 lectures (my personal record). Now it’s time to rest till the beginning of the next year.
November 2021:
I’ve delivered the contributed talk entitled A Paley-Wiener type theorem involving a fractional Dirac operator on the meeting The Fifth Workshop New Trends in Quaternions and Octonions – NTQO 2021. This was based on an ongoing joint work with S. Bernstein (TU Bergakademie Freiberg). Slides of the talk are available under request.
October 2021:
(A) Slides of the talk delivered during the Joint Annual Conference of the DMV and the ÖMG 2021 are available on my ResearchGate profile.
See, for instance:
# Higher-order space- fractional Dirac-type operators
DOI: http://dx.doi.org/10.13140/RG.2.2.13880.47366
September 2021:
(A) Thrilled to announce that the special issue paper entitled “On fundamental solutions of higher-order space-fractional Dirac equations” is out now at Mathematical Methods in the Applied Sciences.
(B) Very recently, I became reviewer for zbMATH Open. On my zbMATH profile you may find the first reviewers that I’ve done.
(C) Delighted to announce that I became member of the Reviewer Board of the journal ‘Mathematics‘.
(D) I will be ‘Contributing Writer’ of my homeland press. Till the end of this year – at least – I will contribute with a series of texts on the crossroads of mathematics, economics and higher education. Links for the contributed texts may be found on the link On Press (In Portuguese) – right top of this webpage.
August 2021: Slides of the talks delivered during the 13th ISAAC Congress are available on my ResearchGate profile.
See, for instance:
#1 On fractional semidiscrete Dirac operators of Lévy-Leblond type
DOI: http://dx.doi.org/10.13140/RG.2.2.15110.50247
#2 On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations
DOI: http://dx.doi.org/10.13140/RG.2.2.15543.04004
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 during the 13th ISAAC Congress on the Thematic 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
Past Experiences
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. And on the academic year of 2021/2022 four 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 have taught regular and online courses devoted to topics of fundamental mathematics.
Nelson Faustino's website 