Invited Assistant Professor
Faculty of Economics
University of Coimbra
Nelson José Rodrigues Faustino
updated at 7th October 2021
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).
(A) Slides of the talk delivered during the Joint Annual Conference of the DMV and the ÖMG 2021 is available on my ResearchGate profile.
See, for instance:
# Higher-order space- fractional Dirac-type operators
(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
#2 On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations
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)).
Course Materials (In Portuguese)
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.