Nelson José Rodrigues Faustino
updated at 4th December 2020
Author IDs
Scopus Author ID: 14029839500
ResearcherID: D-3702-2013
Ciência ID: A719-B89E-F3B9
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).
Out now (November 2020): Conference paper The fractional Clifford Fourier transform based on a deformed Hamiltonian for the harmonic oscillator (jointly with S. Bernstein). Written last year (2019) when I was working at Federal University of ABC.
Current Teaching Duties (In Portuguese)
Álgebra Linear
Matemática I
P5, P6 & P7
TP3 & TP4
For further details, click on Teaching (in Portuguese) on the top of this webpage.
Past Experiences
The information below corresponds to an abridged version of the information available at Ciência ID: A719-B89E-F3B9:
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.
