Nelson José Rodrigues Faustino
updated at September 16th 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 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
September 2022:
- I am thrilled to announce that earlier this month I have started my new position as a Invited Assistant Professor at Department of Mathematics, University of Aveiro. I’m really enjoying being back to my alma mater!
August 2022:
- Farewell to the Faculty of Economics, University of Coimbra. Although we have experienced, within the faculty community, several constraints due to the covid outbreaks, I had a great time during these two intensive years. Will certainly miss my colleagues and students as well. Anyway, the research collaboration with [some of] the faculty member(s) will go on surely.
July 2022:
- Book of Extended Abstracts of the International Conference on Mathematical Analysis and Applications in Science and Engineering is out now. On the link https://doi.org/10.34630/20734 (pp. 252-254 of the PDF file) you may find my joint contribution with Jorge Marques.
- I wrote a review for the paper entitled Brownian motion, martingales and Itô formula in Clifford analysis to zbMATH Open. The topic of this paper is closely related to Itô Calculus.
- Thrilled to announce that I’m one among the members of the advisory board of the 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (04 – 09 June 2023, Holon, Israel).
June 2022:
- I’ve included on Publications a pic from a slide of the talk delivered on June 27th at ICMA2SC’22. Send me an e-mail in case that you are interested on it.
May 2022:
- Talk entitled `Strichartz estimates for structurally damped equations of space-time-fractional type‘ (jointly with Jorge Marques) will be presented on ICMA2SC’22 (27-29 June 2022, Oporto).
April 2022:
- I wrote a review for the paper entitled Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions to zbMATH Open. The topic of this paper is closely related to computation of fundamental solutions for discrete Dirac operators considered in my joint paper with Guerlebeck, Hommel and Kaehler (2006).
- Version of the lecture notes used during the first semester of 2021/2022 on the course of Matemática I was included on Caderno Teórico-Prático de Matemática I.
- I’ve include on Course Materials (In Portuguese) – see below – a link for the subpage Slides de Estatística II that I’ve created to make available worldwide the slides I’m producing. Comments and suggestions are very welcome.
- I wrote a review for the paper entitled Dispersive estimates for quantum walks on 1D lattice to zbMATH Open.
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 have taught regular and online courses devoted to topics of fundamental mathematics.
Nelson Faustino's website 