Invited Assistant Professor
Department of Mathematics
University of Aveiro
Nelson José Rodrigues Faustino
updated at January 28th 2023
Scopus Author ID: 14029839500
Ciência ID: A719-B89E-F3B9
MR Author ID: 789193
Author ID: faustino.nelson-jose-rodrigues
arXiV ID: https://arxiv.org/a/faustino_n_1
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).
- 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)
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.