
PERSONAL INFORMATION
Name: Nelson José Rodrigues Faustino
Title: Doctor of Philosophy
Born Date/City: September 26, 1982 / Lisbon
Nationality: Portuguese
Marital Status: Single
POSITIONS
Adjunct Professor at “Escola Superior de Educação e Ciências Sociais”, Instituto Politécnico de Leiria (since September 2009)
Member of the Research Unit “Matemática e Aplicações”, Universidade de Aveiro, Portugal (since January 2005)
Ph.D student of Departamento de Matemática, Universidade de Aveiro, under fellowship (September 2004 till March 2009)
CONTACT INFORMATION
Workplace Address:

Escola Superior de Educação e Ciências Sociais (Leiria)
Campus 1
Rua Dr. João Soares Apartado 4045P- 2411-901 Leiria, Portugal
Phone: (+351) 234 829 400 Fax: (+351) 244 829 499
E-mail: nelson.faustino@ipleiria.pt
Research Address:

Departamento de Matemática, Universidade de Aveiro
Campus Universitário de Santiago
P – 3810-193 Aveiro, Portugal
Phone: (+351) 234 370 359 Fax: (+351) 234 382 014
E-mail: nfaust@ua.pt
TEACHING:
Winter Semester 2009/2010
Números e Operações (Classmates)
http://www.google.com/calendar/embed?src=rmpvhh6mb6a7oaq1teoqop73eg@group.calendar.google.com&ctz=Europe/Lisbon
Números e Operações (Distance Learning)
http://www.google.com/calendar/embed?src=numeros.e.operacoes@gmail.com&ctz=Europe/Lisbon
RESEARCH EXPERIENCE:
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Clifford Analysis;
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Umbral Calculus;
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Numerical Analysis for PDE’s with special emphasis on Navier-Stokes equations and Schroedinger equations;
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Interplay between Combinatorics and Quantum Mechanics;
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Interplay between Discrete Differential Geometry, Algebraic Topology and Geometric Integration Theory;
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Development of numerical schemes based on Wavelet analysis and function-theoretical approaches;
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Development and implementation of numerical algorithms based on the Hilbert-Huang transform.
A goal-oriented description of my research experience can be found on the link above entitled Previous research track record.
CURRENT INTERESTS OF RESEARCH:
- Time-frequency analysis;
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Clifford analysis and Harmonic Analysis on the phase space and related topics;
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Maxwell and Magneto-hydrodynamics (MHD) equations;
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Non-commutative geometry;
I hope to put soon on the link above entitled Prospective Research a short state of art for each topic.
EDUCATION:
01.10.2004-26.03.2009 Ph.D Student University of Aveiro
25.09.2000-30.06.2004 Undergraduate Student University of Aveiro
ACADEMIC DEGREES:
2004-2009 Ph.D degree University of Aveiro (Outstanding)
2000-2004 Diploma degree University of Aveiro (Very Good)
1988-2000 Certificate Secondary (12-year school)
LANGUAGES:
Portuguese- mother tongue
English- fluent
Spanish- fluent
French- basic
PUBLICATIONS: Ph.D dissertation, 9 research publications in international editions, 7 of them in International Journal with referee, 2 of them in Conference Proceedings with referee. There are 1 preprint available, 2 research paper submitted and 1 research in preparation. The List of Publications can be found here.
TALKS: [The blue titles in italic contain slides of the talks]
2009
Discrete Clifford Analysis, Ph.D defense, Sala de Actos Académicos, Universidade de Aveiro (Portugal), 26.03.2009.
Rediscovering Clifford Analysis: On the Interplay between Umbral Calculus and Quantum Mechanics, 11th European Workshop on Applications and Generalizations of Complex Analysis, University of Coimbra (Portugal), 17.04.2009
Finite Difference and Finite Element Methods in Numerical Clifford Analysis, Seminar Classical Analysis, Department of Mathematics, K.U.Leuven (Belgium), 29.04.2009.
Discrete Function Theory and its relations with Wigner Quantum Systems, Seminar of Analysis, Department of Mathematics, University of Coimbra (Portugal), 22.05.2009.
Further results in Discrete Clifford Analysis, 7th ISAAC Congress, Imperial College of London (UK), 13.07.2009
The role of Wigner quantum systems in Clifford analysis, ”Yorkshire Functional Analysis Seminar”, Department of Pure Mathematic, University of Leeds, (England), 21.07.2009.
2008
Discrete function theory and its relation with combinatorics and quantum mechanics, “Yorkshire Functional Analysis Seminar”, Department of Pure Mathematic, University of Leeds, (England), 11.03.2008.
REDISCOVERING DISCRETE FUNCTION THEORY I: Clifford-like Algebras and Lattice Structure, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal), 28.3.2008.
REDISCOVERING DISCRETE FUNCTION THEORY II: Umbral Clifford Calculus, Discretization and Quantum Mechanics on a Lattice, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal), 4.4.2008.
Continuous and Discrete Clifford Analysis: Two sides of the same?, Graduate Student Workshop on Clifford Algebras and Inverse Problems, Tampere University of Technology , Tampere (Finland), 01-05.09.2008.
2007
Trends in discrete function theory: A combinatorial approach, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal), 10.04.2007.
Discrete Dirac operators on combinatorial surfaces, 10th Annual Workshop on Applications and Generalizations of Complex Analysis, International Centre of Mathematics, Coimbra, Portugal, 23.06.2007.
On organizing principles of discrete function theory, Workshop on Clifford Analysis and Applications, “Het Pand”, Ghent (Belgium), 03-05.09.2007.
Numerical Clifford Analysis for nonlinear Schroedinger Problem, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2007), Corfu, Greece 16-20.09.2007.
2006
Interpolating Wavelets applied to the Navier-Stokes equations, 77th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik e.V. (GAMM 2006), Technical University of Berlin, Berlin (Germany), 27-31.03.2006.
Wavelet and Multiscale Methods for the resolution of Navier-Stokes equations, National Meeting of Portuguese Mathematical Society (ENspm06), Instituto Superior de Engenharia de Lisboa (ISEL) (Portugal), 20-23.06.2006. (talk presented in Portuguese)
Fischer Decomposition for Difference Dirac Operators, 17th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering (IKM 2006), Bauhaus Weimar University, Weimar (Germany), 12-14.07.2006
The Hilbert-Huang Transform: A new trend in signal analysis, Departamento de Matemática e Engenharia Civil, Bauhaus-Weimar University, Weimar (Germany) 21.07.2006
A wavelet Galerkin scheme for the Navier-Stokes equations, International Congress of Mathematicians (ICM 2006), Madrid (Spain), 22-30.08.2006
2005
A Wavelet-Galerkin scheme for Navier-Stokes Equations, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal), 27.04.2005
Difference Potentials for the Navier-Stokes equations, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal), 10.05.2005.
The application of a discrete function theory to the solution of the Navier-Stokes equations, 7º International Conference on Clifford Algebras and their applications (ICCA7), Université Paul Sabatier, Toulouse (France), 19-29.05.2005
Discrete function theory and its applications in Computational Fluid Dynamics, 8th Annual International Workshop on “Applications and Generalizations of Complex Analysis”, University de Aveiro, Aveiro (Portugal) 04.06.2005.
An application of a discrete function theory in computational fluid dynamics, Computational Methods and Function Theory 2005 (CMFT 2005), University of Joensuu , Joensuu (Finland), 13-17.06.2005.
2004
Métodos de Wavelets/Galerkin, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal) 19.02.2004. (talk presented in Portuguese)
Aplicação da teoria discreta de funções para a solução numérica das equações de Navier-Stokes”, Complex and Hypercomplex research group seminar, University of Aveiro (Portugal), 21.12.2004 (talk presented in Portuguese)
GUEST VISITS
- 20-23.6.2005: Technical University of Tampere, (Finland), invited by Prof. Dr. Sirkka-Liisa Eriksson-Bique.
- 2-15.04.2006, Konrad-Zuse-Institut für Informationstechnik Berlin (Germany) invited by Prof. Dr. Gerd Tesckhe.
- 17-28.07.2006: Bauhaus-Weimar University, (Germany), invited by Prof. Klaus Gürlebeck.
- 2-15.03.2008, University of Leeds, (UK), invited by Professor Vladimir Kisil.
- 26-30.04.2009, Katolieke Universiteit Leuven (Belgie), invited by Professor Soeren Krausshar
- 1-4.06.2009, Universiteit Gent (Belgie), invited by Professor Frank Sommen
- 20-24.07.2009, University of Leeds, (UK), invited by Professor Vladimir Kisil.
FELLOWSHIPS AND AWARDS
“MPEI” prize (Macau-Portugal-Escolas-Internet) , 1998 (2nd prize)
“Ciência Viva“ prize, 1998-2000 (scholarship to promote research in Chemistry)
Doctoral Fellow of the “Fundação para a Ciência e a Tecnologia“, with the reference SFRH/BD/17657/2004, 2004-2008.
Allowance of the project’s research entitled “Applications of hypercomplex analysis to partial differential equations” from “Fonds Wetenschappelijk Onderzoek – Vlaanderen” (Flanders FWO), with the reference G.0.335.08 for travel to scientific K.U. Leuven, Belgium, 2009.
Partial scholarship from the Max Planck Institute for Mathematics in Bonn, Germany, to participate in the Symposium “Mathematisch Arbeitstagung 2009“, 2009.
Bag full of the Center for Functional Analysis and Applications of the Technical Institute to participate in the “International Summer School on Operator Algebras and Applications“, 2009.
Grant from the “Fundação Calouste Gulbenkian” with reference processo No. 103748 for participation in the International Meeting 7th ISAAC Congress, which helds at Imperial College of London (United Kingdom), July 13 to July 18, 2009.
Aveiro, 21 de Junho de 2009
Nelson José Rodrigues Faustino
Leiria, 19th September, 2009
Nelson José Rodrigues Faustino