Invited Assistant Professor
Faculty of Economics
University of Coimbra
Nelson José Rodrigues Faustino
updated at 4th December 2020
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)
P5, P6 & P7
TP3 & TP4
For further details, click on Teaching (in Portuguese) on the top of this webpage.
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.