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Identification

Personal identification

Full name
Pedro Jorge da Silva Pereira

Citation names

  • Pereira, Pedro

Author identifiers

Ciência ID
EF12-8EF0-DD5A
ORCID iD
0000-0003-4503-3175

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2005
Concluded
PhD em Matemática (Doutoramento)
Imperial College London, United Kingdom
"Boundary Value Problems and Integral Relations in the Continuum Theory of Nematic Liquid Crystals" (THESIS/DISSERTATION)
Aprovado com distinção e louvor
1995
Concluded
Mestrado em Física (Mestrado)
Universidade de Lisboa Faculdade de Ciências, Portugal
"Fluorescência de Raios-X induzida por protões em filmes finos de Cu/Al obtidos por Pulverização Catódica" (THESIS/DISSERTATION)
Excelente
1990
Concluded
Licenciatura em Engenharia Física (Licenciatura)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
"Projecto de um Analisador de Energia de Espelhos Cilíndricos" (THESIS/DISSERTATION)
Aprovado
Affiliation

Science

Category
Host institution
Employer
1991 - Current Researcher (Research) Universidade Nova de Lisboa Centro de Física e Investigação Tecnológica, Portugal

Teaching in Higher Education

Category
Host institution
Employer
1991/10/01 - Current Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal

Others

Category
Host institution
Employer
2002 - 2005 Leccionação de Unidades Curriculares de Matemática no Departamento de Matemática do Imperial College London enquanto aluno de PhD em Matemática Imperial College London Faculty of Natural Sciences, United Kingdom
1987 - 1989 Professor de Matemática no Ensino Secundário enquanto estudante de Engenharia Física Escola Secundária Azevedo Neves, Portugal
Outputs

Publications

Conference abstract
  1. Pereira, Pedro. "Modelling the detectability of brown fat metabolism using microwave radiometry". Paper presented in 31st Annual Meeting of the Society for Thermal Medicine, Minneapolis, 2014.
    Published
  2. Pereira, Pedro. "Non-invasive radiometric thermal monitoring of deep brain using miniature 2D and 3D directional antennas". Paper presented in Society of Thermal Medicine Annual Meeting 2013, Aruba, 2013.
    Published
  3. Pereira, Pedro. "Numerical 3D modeling of heat transfer in human tissues for microwave radiometry monitoring of brown fat metabolism". Paper presented in Conference on Energy-Based Treatment of Tissue and Assessment VII, San Francisco, 2013.
    Published
  4. Pereira, Pedro. "Advanced multiphysics modelling in thermal medicine". Paper presented in VII Encontro Nacional de Estudantes de Engenharia Biomédica, Monte de Caparica, 2012.
    Published
  5. Pereira, Pedro. "Numerical solutions of a class of KdV-BBM equations using a continuous/discontinuous finite element method". Paper presented in IV-Conferência Internacional em Mecânica dos Fluidos, Termodinâmica e Energia (MEFTE-2012), Lisboa, 2012.
    Published
  6. Pereira, Pedro. "A temperature optimization technique for localized heating in small animals". Paper presented in Conferência Internacional Society of Thermal Medicine Annual Meeting, Portland, 2012.
    Published
  7. Pereira, Pedro. "DOLFWAVE: a FEniCS application for water waves simulation". Paper presented in International Conference on Mathematical and Computational Issues in the Geosciences-SIAM (Society for Industrial and Applied Mathematics), California, 2011.
    Published
  8. Pereira, Pedro. "Solutions of some improved Boussinesq-type models for surface water waves using finite element methods". Paper presented in International Meeting, Recent trends in hyperbolic and related PDE's: theory, numeric and applications, Lisboa, 2011.
    Published
  9. Pereira, Pedro. "Analytical solution to the trasient 1D bioheat equation in a multilayer region with spatial dependent heat sources". Paper presented in International Conference Biomed 2011, Innsbruck, 2011.
    Published
  10. Pereira, Pedro. "A C/DG-FEM solution of an improved fourth order Boussinesq model for surface water waves". Paper presented in International Symposium of FEMPSMA-LAMFA, Amiens, 2011.
    Published
  11. Pereira, Pedro. "A C/DG-FEM solution of an improved Boussinesq system for surface water waves". Paper presented in V European Conference on Computational Fluid Dynamics ECCOMAS CFD, Lisboa, 2010.
    Published
  12. Pereira, Pedro. "Some moving boundary problems in the continuum theory of nematic liquid crystals". Paper presented in International Conference- Recent developments in the analysis and modelling of liquid crystals, University of Oxford, Oxford, 2010.
    Published
  13. Pereira, Pedro. "DOLFWAVE: use of FeniCS for surface waves modelling". Paper presented in CBC Workshop International on Tsunami Modelling- Center of Biomedical Computing Simula Research Laboratory, Oslo, 2010.
    Published
  14. Pereira, Pedro. "Um método numérico para uma classe de equações do tipo Boussinesq para ondas de superfície na água com batimetria dependente do tempo". Paper presented in Encontro Nacional da Sociedade Portuguesa de Matemática, Leiria, 2010.
    Published
  15. Pereira, Pedro. "The dependence of the target erosion depth on the direction of magnetic induction in a planar magnetron discharge". Paper presented in VII RIVA- International Conference of Vacuum, Monte de Caparica, 2008.
    Published
  16. Pereira, Pedro. "Orientational director effects in the continuum theory of nematic liquid crystals". Paper presented in International Conference Progress on difference equations, Salzburg-Laufen, 2007.
    Published
  17. Pereira, Pedro. "Planar magnetron discharge. An experimental profile analysis of the target erosion based on a two-dimensional fluid model in the steady state". Paper presented in VI RIVA-6th International Conference of Vacuum and IV European Topical Conference on Hard Coatings, Salamanca, 2006.
    Published
  18. Pereira, Pedro. "The current-pressure characteristics of planar magnetron discharges in rare gases". Paper presented in Conferência Internacional Meeting on Applied Physics (APHYS-2003), Badajoz, 2003.
    Published
  19. Pereira, Pedro. "Descargas luminescentes anómalas associadas a cátodos do tipo magnetrão". Paper presented in Workshop Physics and Technology - Future challenges, Serra da Arrábida, 2003.
    Published
  20. Pereira, Pedro. "Características corrente-pressão em descarga magnetrão planar (árgon-cobre)". Paper presented in Workshop 2002-CeFITec, Monte de Caparica, 2002.
    Published
  21. Pereira, Pedro. "Descarga magnetrão planar. Comportamento bimodal em características corrente-pressão". Paper presented in 13ª Conferência de Física, Évora, 2002.
    Published
  22. Pereira, Pedro. "New TIG and MIG/MAG Welding Process. Dynamic Oxide Control". Paper presented in Migatronic International Meeting, Lisboa, 2000.
    Published
  23. Pereira, Pedro. "The discharge gas density near a planar magnetron cathode versus the input power". Paper presented in Conferência Internacional IV RIVA (4th International Conference of Vacuum), Ávila, 2000.
    Published
  24. Pereira, Pedro. "Temperatura do néon e a intensidade de corrente numa descarga magnetrão sobre cobre". Paper presented in 12ª Conferência de Física, Figueira da Foz, 2000.
    Published
  25. Pereira, Pedro. "Modelo de Ising Bidimensional Baseado no Método de Monte Carlo" - Versão II". Paper presented in ExpoQuímica 98, Lisboa, 1998.
    Published
  26. Pereira, Pedro. "Thornton relation parameters dependence on discharge pressure". Paper presented in 14th International Vacuum Congress (IVC 14), 10th International Conference on Solid Surfaces (ICSS 10), 5th International Conference on Nanometer-scale Science and Technology (NANO 5) and 10th International Conference on Quantitative Surface Analysis, Birmingham, 1998.
    Published
  27. Pereira, Pedro. "Descarga Magnetrão: Característica Corrente-Tensão-Pressão". Paper presented in 11ª Conferência de Física 98, Porto, 1998.
    Published
  28. Pereira, Pedro. "Recentes Avanços na Lei de Thornton". Paper presented in 2nd European Topical Conference on Hard Coatings (ETCHC-2)" and 3rd Iberian Vacuum Meeting (III RIVA), Lisboa, 1997.
    Published
  29. Pereira, Pedro. "Campo Magnético e Erosão do Alvo em Pulverização Catódica Assistida por Magnetrão". Paper presented in 10ª Conferência de Física 96, Faro, 1996.
    Published
  30. Pereira, Pedro. "Sistema de Aluminização de Fibras Ópticas do tipo Wave Length Shifter para o Calorímetro Hadrónico TILECAL/ATLAS". Paper presented in 10ª Conferência de Física 96, Faro, 1996.
    Published
  31. Pereira, Pedro. "Rendimentos de raios X em filmes de Cu/Al obtidos por Pulverização Catódica". Paper presented in 9ª Conferência de Física 94, Covilhã, 1994.
    Published
Conference poster
  1. Pereira, Pedro. "Projecto de um analisador electrostático de espelhos cilíndricos". Paper presented in Viva à Ciência, 1992.
Journal article
  1. Ana Isabel Lozano; Sarvesh Kumar; Pedro J. S. Pereira; Boutheïna Kerkeni; Gustavo García; Paulo Limão-Vieira. "Low-lying Negative Ion States Probed in Potassium – Ethanol Collisions". ChemPhysChem (2024): https://doi.org/10.1002/cphc.202400314.
    10.1002/cphc.202400314
  2. Pereira, Pedro. "Cl- kinetic-energy release distributions from chlorobenzene and related molecules in electron transfer experiments". Eur. Phys. J. D (Springer) 75: 294 (2021): https://doi.org/10.1140/epjd/s10053-021-00307-0.
  3. Pereira, Pedro. "Combined Experimental and Theoretical Studies on Electron-Transfer in Potassium Collisions with CCl4". The Journal of Physical Chemistry A (ACS-American Chemical Society), Vol. 124, pages 3220-3227, 2020 (2020):
    10.1021/acs.jpca.0c02076
  4. Pereira, Pedro. "Microwave Radiometry for Noninvasive Monitoring of Brain Temperature". Microwave Radiometry for Noninvasive Monitoring of Brain Temperature, pages 87-128, Emerging Electromagnetic Technologies for Brain Diseases Diagnostics, Monitoring and Therapy, editors Lorenzo Crocco, Irene Karanasiou, Michael L. James and Raquel Cruz Conceição, Springer, 2018. (2018):
    10.1007/978-3-319-75007-1_5
  5. Pereira, Pedro. "Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations". Nonlinear Dynamics, 2015, Volume 82, Issue 1, pp 783–818, Springer, 2015 (2015):
    10.1007/s11071-015-2196-9
  6. Pereira, P.J.S.; Atkinson, C.. "Invariant integrals applied to nematic liquid crystals with small Ericksen number and topological defects". International Journal of Engineering Science 76 (2014): 12-26. http://www.scopus.com/inward/record.url?eid=2-s2.0-84890940583&partnerID=MN8TOARS.
    10.1016/j.ijengsci.2013.11.015
  7. Pereira, Pedro. "Analytical model and measurements of the target erosion depth profile of balanced and unbalanced magnetron cathodes". Plasma Sources Science and Technology, Vol. 23, 2014 (2014):
    10.1088/0963-0252/23/6/065031
  8. Pereira, Pedro. "Design and optimization of an ultra wideband and compact microwave antenna for radiometric monitoring of brain temperature.". IEEE Transactions on Biomedical Engineering, Vol. 61, 2014 (2014):
    10.1109/TBME.2014.2317484
  9. Rodrigues, D.B.; Pereira, P.J.S.; Limão-Vieira, P.; Stauffer, P.R.; Maccarini, P.F.. "Study of the one dimensional and transient bioheat transfer equation: Multi-layer solution development and applications". International Journal of Heat and Mass Transfer 62 1 (2013): 153-162. http://www.scopus.com/inward/record.url?eid=2-s2.0-84875471415&partnerID=MN8TOARS.
    10.1016/j.ijheatmasstransfer.2012.11.082
  10. Rodrigues, D.B.; Maccarini, P.F.; Salahi, S.; Colebeck, E.; Topsakal, E.; Pereira, P.J.S.; Limão-Vieira, P.; Stauffer, P.R.. "Numerical 3D modeling of heat transfer in human tissues for microwave radiometry monitoring of brown fat metabolism". Progress in Biomedical Optics and Imaging - Proceedings of SPIE 8584 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84878524598&partnerID=MN8TOARS.
    10.1117/12.2004931
  11. Pereira, Pedro. "A numerical analysis of a class of KdV-BBM equations using Continuous/Discontinuous Galerkin Finite Element Method". Proceedings of MEFTE, LNEC (2012):
  12. Pereira, Pedro. "Improved Boussinesq Equations for Surface Water Waves, pages 471-504, Automated Solution of Differential Equations by the Finite Element Method , Editores A. Logg, K.-A. Mardal and G. N. Wells, Springer, Volume 84, 2012 (The FEniCS Project).". Lecture Notes in Computational Science and Engineering 84 LNCSE (2012): 1-736. http://www.scopus.com/inward/record.url?eid=2-s2.0-84861039065&partnerID=MN8TOARS.
    10.1007/978-3-642-23099-8_1
  13. Lopes, N.D.; Pereira, P.J.S.; Trabucho, L.. "A numerical analysis of a class of generalized Boussinesq-type equations using continuous/discontinuous FEM". International Journal for Numerical Methods in Fluids 69 7 (2012): 1186-1218. http://www.scopus.com/inward/record.url?eid=2-s2.0-84861891779&partnerID=MN8TOARS.
    10.1002/fld.2631
  14. Pereira, Pedro. "Um método numérico para uma classe de equações do tipo Boussinesq para ondas de superfície no oceano". Boletim da Sociedade Portuguesa de Matemática (2011):
  15. Rodrigues, D.B.; Da Silva Pereira, P.J.; Limão-Vieira, P.M.; Maccarini, P.F.. "Analytical solution to the transient 1D bioheat equation in a multilayer region with spatial dependent heat sources". Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011 (2011): 96-103. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958169882&partnerID=MN8TOARS.
    10.2316/P.2011.723-092
  16. Pereira, Pedro. "A C/DG-FEM solution of an improved Boussinesq system for surface water waves". Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD (2010):
  17. Atkinson, C.; Pereira, P.J.S.. "Orientational director effects in nematic liquid crystals with small Ericksen number". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462 2073 (2006): 2737-2758. http://www.scopus.com/inward/record.url?eid=2-s2.0-33748108971&partnerID=MN8TOARS.
    10.1098/rspa.2005.1638
  18. Atkinson, C.; Pereira, P.J.S.. "Reciprocal and related theorems for nematic liquid crystals". International Journal of Engineering Science 43 15-16 (2005): 1185-1205. http://www.scopus.com/inward/record.url?eid=2-s2.0-27144526156&partnerID=MN8TOARS.
    10.1016/j.ijengsci.2005.03.008
  19. Atkinson, C.; Pereira, P.J.S.. "Flow of a nematic liquid crystal near the leading edge of an infinite prism". Quarterly Journal of Mechanics and Applied Mathematics 58 4 (2005): 503-533. http://www.scopus.com/inward/record.url?eid=2-s2.0-29544432653&partnerID=MN8TOARS.
    10.1093/qjmam/hbi007
  20. Escrivão, M.L.; Pereira, P.J.S.; Cabral, M.H.; Teixeira, M.R.; Maneira, M.J.P.. "Current-pressure characteristics of planar magnetron discharges in rare gases". Journal of Vacuum Science and Technology A: Vacuum, Surfaces and Films 22 6 (2004): 2361-2364. http://www.scopus.com/inward/record.url?eid=2-s2.0-10244226725&partnerID=MN8TOARS.
    10.1116/1.1804982
  21. Escrivão, M.L.; Pereira, P.J.S.; Cabral, M.H.; Teixeira, M.R.; Maneira, M.J.P.. "Current-pressure-voltage characteristics in a planar magnetron discharge". Journal of Vacuum Science and Technology A: Vacuum, Surfaces and Films 21 2 (2003): 375-380. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037351386&partnerID=MN8TOARS.
    10.1116/1.1539083
  22. Escrivão, M.L.; Pereira, P.J.S.; Ferreira, J.L.; Teixeira, M.R.; Maneira, M.J.P.. "Argon temperature and density versus the input power in a high pressure planar magnetron discharge". Vacuum 64 3-4 (2002): 367-371. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036134723&partnerID=MN8TOARS.
    10.1016/S0042-207X(01)00295-0
Thesis / Dissertation
  1. Pereira, Pedro. "Boundary Value Problems and Integral Relations in the Continuum Theory of Nematic Liquid Crystals (PhD Thesis in Mathematics; Department of Mathematics of Imperial College London)". PhD, Imperial College London Faculty of Natural Sciences, 2005. http://catalogue.libraries.london.ac.uk/record=b2918441~S16.
  2. Pereira, Pedro. "Fluorescência de raios X induzida por protões em filmes finos de Cu/Al obtidos por pulverização catódica". Master, Universidade de Lisboa Faculdade de Ciências, 1995.
  3. Pereira, Pedro. "Projecto de um Analisador de Espelhos Cilíndricos". Degree, Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, 1989.

Other

Other output
  1. Low-lying negative ion states probed in potassiu-methanol collisions.. POSMOL 2023, XXI International Workshop on Low-Energy Positron and Positronium Physics and XXIII International Symposium on Electron-Molecule Collisions and Swarms, University of Notre Dame, USA, August, 2023.. 2023. Sim; Pereira, Pedro.
  2. Probing the lowest-lying anionic states of CCl4 by energy loss measurements in electron transfer experiments.. Molecular Dynamics in the GAS phase (MD-GAS) International Conference, March, 15th-19th, 2021 (European Cooperation in Science and Technology).. 2021. Pereira, Pedro.
  3. DOLFWAVE - a FEniCS based library for solving surface water waves problems https://bitbucket.org/dolfwave/dolfwave-main (2015/2018; nota: DOLFWAVE entre os cinco melhores softwares para modelação oceânica de acordo com http://gidahatari.com/ih-es/los-5-mejores-softwares-para-modelamiento-ocenico). Project to develop a software to mathematical models for some physical phenomena such as the generation and propagation of ocean water waves including seismic activities and tsunamis. These waves can be caused by several physical sources, e.g., wind, storms and cyclones, seismic activities, landslides or volcanic eruptions.. 2018. Pereira, Pedro.
  4. Boundary value problems and integral relations in the continuum theory of nematic liquid crystals. 2005.
  5. Projecto e implementação de uma fonte de alimentação (DC) de -1000 V/16 A para gestão do comportamento não linear do plasma. Projecto e implementação de uma fonte de alimentação (DC) de potência de -1000 V/16 A para gestão do comportamento não linear do plasma (Protótipo GF3/CeFITec/FCT/UNL). 1995. Pereira, Pedro.
  6. Projecto de um sistema de análise de energia de partículas carregadas. Projecto de um sistema de análise de energia de partículas carregadas (Protótipo/CeFITec/FCT/UNL).. 1989. Pereira, Pedro.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2010 Some Moving Boundary Problems in the Continuum Theory of Nematic Liquid Crystals Recent developments in the analysis and modelling of liquid crystals
University of Oxford (Department of Mathematics) (Oxford, United Kingdom)
2007 Orientational director effects in the continuum theory of nematic liquid crystals International Conference- Progress on difference equations
(Salzburg_Laufen, Germany)
2005 Boundary Value Problems and Integral Relations in the Continuum Theory of Nematic Liquid Crystals
Imperial College London (Department of Mathematics) (London, United Kingdom)
2000 New TIG and MIG/MAG Welding Process. Dynamic Oxide Control Migatronic International Meeting
(Lisboa, Portugal)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2008 - 2014/05 Métodos analíticos e numéricos do tipo elementos finitos contínuos e contínuos/descontínuos para o estudo de modelos de Boussinesq melhorados para a propagação de ondas (Orientação de PhD em Matemática)
Supervisor
Matemática (PhD)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2010 - 2013/09 Target-Specific Multiphysics Modeling For Thermal Medicine Applications (PhD em Engenharia Biomédica/ Equações Diferenciais)
Co-supervisor
Biomedical Engineering (PhD)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal

Duke University, United States

Event participation

Activity description
Type of event
Event name
Institution / Organization
2003 - 2003 International Conference of Mathematics - Imperial College London (Department Mathematics)- Main invited speaker: Full Professor of Mathematics John F. Nash Jr. (Prize Nobel in Economic Sciences, 1994), Using Mathematics to Handle Complex Problems in Game Theory
Conference
International Conference of Mathematics - Imperial College London
Imperial College London Faculty of Natural Sciences, United Kingdom

Jury of academic degree

Topic
Role
Candidate name (Type of degree)
Institution / Organization
2022/07/15 Electron Transfer Processes in Biologically Relevant Molecules. An Experimental Study of Neutral Alkali Atom-Molecule Collisions
Thesis Member
SARVESH KUMAR (PhD)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2014 Métodos analíticos e numéricos do tipo elementos finitos contínuos e contínuos/descontínuos para o estudo de modelos de Boussinesq melhorados para a propagação de ondas
Supervisor
Nuno David de Jesus Lopes (PhD)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2013 Target-Specific Multiphysics Modeling For Thermal Medicine Applications
Supervisor
Dário Barros Rodrigues (PhD)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal

Association member

Society Organization name Role
1990 - Current Membro Efectivo da Ordem dos Engenheiros (Região Sul nº 19165)

Journal scientific committee

Journal title (ISSN) Publisher
2020 - Current IEEE Open Journal of Engineering in Medicine and Biology IEEE Engineering in Medicine & Biology Society
2017 - Current Optical and Quantum Electronics Springer
2017 - Current Journal of King Saud University-Science Elsevier
2015 - Current SpringerPlus (Mathematics) Springer
2015 - Current Materials Research SciELO
2014 - Current Nonlinear Dynamics Springer

Other jury / evaluation

Activity description Institution / Organization
2009 - 2009 Júri do Concurso Público para o lugar de Professor Adjunto na Área Departamental de Matemática do Quadro de Pessoal Docente do Instituto Superior de Engenharia de Lisboa Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
2009 - 2009 Júri do Concurso Público para o lugar de Professor Adjunto na Área Departamental de Matemática do Quadro de Pessoal Docente do Instituto Superior de Engenharia de Lisboa Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
2006 - 2007 Júri do Concurso Público para o lugar de Professor Adjunto na Área Departamental de Matemática do Quadro de Pessoal Docente do Instituto Superior de Engenharia de Lisboa Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
2006 - 2007 Júri do Concurso Público para o lugar de Professor Adjunto na Área Departamental de Matemática do Quadro de Pessoal Docente do Instituto Superior de Engenharia de Lisboa Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
Distinctions

Other distinction

2013 Microwave Antenna Heat Activation of Drug Delivery for Bladder Cancer Treatment
2013 Design of 3D conical log-spiral antenna for focused radiometric deep temperature readings
2005 DIC-Diploma of Imperial College London (Mathematics)
Imperial College London, United Kingdom
2002 Bolsa de Doutoramento (PhD in Mathematics)
Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal

Republica Portuguesa Ministério da Educação, Portugal