UNIVERSIDADE ABERTA departamento de ciências e tecnologia secção de matemática RESEARCH REPORT 2011 JANUARY 2012 Preface This is the sixth issue of the Research Report produced annually by the Secção de Matemática of the Departamento de Ciências e Tecnologia of the Universidade Aberta. As stated in the previous Research Reports, our goal in producing this document is to enhance the visibility of the research activities of the members of this Secção among our colleagues in the University and our peers in the portuguese and international research communities. This year the Secção continued the monthly research seminar series titled “Matemática na AbERTA”, to which several members of the Secção have already contributed. During the year 2011 the Secção lost one member who left in february, and a new one entered the Secção in october. The number of members of the Secção was maintained at 13, 12 of whom are now PhD holders. This Report will be permanently available online at the following URL address http: //www.uab.pt/web/guest/organizacao/departamentos/dcet/sm/investiga cao. Lisbon, March 1, 2012 The coordinator of the Secção de Matemática Rafael Sasportes 1 Academic degrees awarded in 2011 João Araújo received his “Agregação” in Mathematics from the Universidade de Lisboa, Faculdade de Ciências; the title of his “Lição de Agregação” was Prelude; Fugue and Variations on the Centralizer. António Araújo received his PhD in mathematics from the Universidade de Lisboa, Faculdade de Ciências; the title of his PhD thesis was Legendrian Varieties and Quasi-Ordinary Hypersurfaces. 2 2.1 2.1.1 Publications Published in 2011 Books or chapters of books, thesis, proceedings, special volumes (authored or edited) Juan, A., Trenholm, S., Simosa, Amílcar Oliveira, Teresa Oliveira (2011). Teaching Mathematics Online: Emergent Technologies and Methodologies. In: Some Long-Term Experiences on Mathematical E-Learning in Europe and USA: A comparative study regarding different higher-education models, (pp. 238–257) ISBN: 978-1-60960-875-0, http://www.igi-global.com/book/teaching-mathemati cs-online/50527. 2.1.2 Articles in refereed journals and serials João Araújo; Kinyon, M. An Elegant 3-Basis for Inverse Semigroups, Semigroup Forum, 82, 2 (2011), 319–323, http://dx.doi.org/10.1007/s00233-010-9280-8. João Araújo; Mitchell, James D.; Schneider, Csaba. Groups that together with any transformation generate regular semigroups or idempotent generated semigroups, Journal of Algebra, 343, 1 (2011), 93–106, http://dx.doi.org/10.1016/j.jalgebra.2 011.07.002. João Araújo; Malheiro, António. On finite complete presentations and exact decompositions of semigroups, Communications in Algebra, 39, 10 (2011), 3866–3878, http://dx.doi.org/10.1080/00927872.2010.514314. João Araújo; Fernandes, Vítor Hugo; Jesus, Manuel M.; Maltcev, Victor; Mitchell, James D. Automorphisms of partial endomorphism semigroups, Publ. Math. Debrecen., 79/1-2 (2011), 23–29, http://dx.doi.org/10.5486/PMD.2011.4703. João Araújo; Kinyon, M.; Konieczny, J. Minimal Paths in the Commuting Graphs of Semigroups, European Journal of Combinatorics, 32 (2011), 178–197, http://dx.d 2 oi.org/10.1016/j.ejc.2010.09.004. João Araújo; Kinyon, Michael Independent axiom systems for nearlattices, Czechoslovak Mathematical Journal, 61 (136) (2011), 975–992, http://hdl.handle.net/10 338.dmlcz/141800. João Araújo; Mário Edmundo; Givant, S. v*-algebras, Independence Algebras and Logic, International Journal on Algebra and Computation, 21, 7 (2011), 1237–1257. Print ISSN: 0218-1967. Online ISSN: 1793-6500, http://dx.doi.org/10.1142/S0 218196711006923. André, Jorge M.; João Araújo; Konieczny, J. Regular centralizers of idempotent transformations, Semigroup Forum, 82 (2011), 307–318, http://dx.doi.org/10.1080/ 00927872.2010.51431410.1007/s00233-010-9274-6. Mário Edmundo, and G. Terzo. A note on generic subsets of definable groups, Fund. Math. 215 (1) (2011) 53–65. ISSN: 0016-2736(p) 1730-6329(e). http://dx.doi.org /10.4064/fm215-1-3. Mário Edmundo, G. Jones and N. Peatfield. Invariance results for definable extensions of groups, Arch. Math. Logic 50 (1-2) (2011) 19–31. ISSN: 0933-5846 (Print). 1432–0665 (Online). http://dx.doi.org/10.1007/s00153-010-0196-5. Mário Edmundo. On the Euler characteristic of definable groups, Math. Logic Quart. 57 (1) (2011) 44–46. Online ISSN: 1521-3870. http://dx.doi.org/10.1002/malq .200910126. Maria João Oliveira, J. L. Silva, L. Streit, Intersection local times of independent fractional Brownian motions as generalized white noise functionals, Acta Appl. Math. 113 (1) (2011), 17–39. http://dx.doi.org/10.1007/s10440-010-9579-1. M. Grothaus, Maria João Oliveira, J. L. Silva, L. Streit, Self-avoiding fractional Brownian motion - The Edwards model, J. Stat. Phys. 145 (6) (2011), pp. 1513–1523. http: //dx.doi.org/10.1007/s10955-011-0344-2. R. Bernardes, T. Santos, Pedro Serranho, C. Lobo, J. Cunha-Vaz, Noninvasive evaluation of retinal leakage using OCT, Ophthalmologica, 226 (2011) Karger, pp. 29–36, http://dx.doi.org/10.1159/000326268. Bernardes R.; Pedro Serranho; Lobo C., Digital Ocular Fundus Imaging: a review, Ophthalmologica, Vol. 226, Nº 4 (2011) Karger, pp. 161–181, 2011 http://dx.doi.o rg/10.1159/000329597. 3 2.1.3 Articles in conference proceedings Branco, F., Amílcar Oliveira, T. A. Oliveira, Minder, C.E. (2011): The effect of nonnormality on the power of randomization tests: a simulation study using normal mixtures, In Theodore E. Simos, George Psihoyios, Ch Tsitouras and Zacharias Anastassi (Eds): Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, American Institute of Physics, Halkidiki, Greece, pp. 1463–1466, ISBN: 978-0-7354-0954-5, http://www.icnaam.org. Amílcar Oliveira, T. A. Oliveira, Branco, F., Minder, C.E. (2011): The impact of outliers on the power of the randomization test for two independent groups, In Theodore E. Simos, George Psihoyios, Ch Tsitouras and Zacharias Anastassi (Eds): Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, American Institute of Physics, Halkidiki, Greece, pp. 1545–1548, ISBN:978-0-7354-0954-5, http://www.icnaam.org. Amílcar Oliveira, T. A. Oliveira (2011): Method for detection of mixtures of normal distributions with application to vine varieties. In 5th International Conference on Information and Communication Technologies in Agriculture, Food and Environment (HAICTA 2011), September 8-11, 2011, Skiathos Island, Greece, pp. 771–781, ISBN: 978-960-89024-3-5, http://2011.haicta.gr. Amílcar Oliveira, T. A. Oliveira (2011): Exploring the links between the BIBD and PBIBD and mathematics. Biometric Methods and Models in Current Science and Research. Proceedings of XIXth. Summer School of Biometrics 6-10.9.2010. Faculty of Horticulture of Mendel University, Lednice, República Checa. Editors David Hampel, Jiri Hartmann and Jarolav Michálek. Published by Central Institute of Supervising and Testing in Agriculture, pp. 183–194, ISBN 978-80-7401-028-6. Valente, V., T. A. Oliveira (2011): Hierarchical Linear Models: Review and Applications. In Theodore E. Simos, George Psihoyios, Ch Tsitouras and Zacharias Anastassi (EDS): Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, American Institute of Physics, Halkidiki, Greece, http://www.icnaam.org. Rosário Ramos, M. Costa (2011). Testing the Significance of the Linear Regression Coefficients: Exploring Some Estimators for the Autocorrelation Function, in Theodore E. Simos, George Psihoyios, Ch Tsitouras and Zacharias Anastassi (EDS): Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, pp. 1561– 1564; http://dx.doi.org/10.1063/1.3637927. Pedro Serranho , Maduro C., Santos T., Cunha-Vaz J., Bernardes R., Araujo A., Barbeiro S. Ocular fundus imaging: From structure to function, Proceedings of 1st Portuguese Meeting in Bioengineering (ENBENG), 2011. ENBENG, IEEE, 2011, 1-4, 2011. 4 Pedro Serranho, Maduro, C.; Santos, T.; Cunha-Vaz, J.; Bernardes, R.; Synthetic OCT data for image processing performance testing, Proceedings of ICIP - International Conference in Image Processing, Brussels, Belgium, September 11-14, 2011. 2.2 2.2.1 Accepted or submitted in 2011 Books or chapters of books, thesis, proceedings, special volumes (authored or edited) Accepted 2.2.2 Articles in refereed journals and serials Accepted António Araújo , Orlando Neto, Limits of tangents of quasi-ordinary hypersurfaces, Proceedings of the AMS, http://dx.doi.org/10.1090/S0002-9939-2012-111 26-8. D. L. Finkelshtein, Maria João Oliveira, Yu. G. Kondratiev, Glauber dynamics in the continuum via generating functionals evolution. Complex Anal. Oper. Theory, http://dx.doi.org/10.1007/s11785-011-0170-1. D. L. Finkelshtein, Maria João Oliveira, Yu. G. Kondratiev, Kawasaki dynamics in the continuum via generating functionals evolution. Methods Funct. Anal. Topology. Submitted D. L. Finkelshtein, Maria João Oliveira, Yu. G. Kondratiev, Markov evolutions and hierarchical equations in the continuum: II. Multicomponent systems, http://arxi v.org/abs/1106.4946. 2.2.3 Articles in conference proceedings Accepted Submitted J. Bornales, Maria João Oliveira, L. Streit, Self-repelling fractional Brownian motion - a generalized Edwards model for chain polymers, http://arxiv.org/abs 5 /1106.3776. 3 3.1 Research lectures and courses In meetings Branco, F., Amílcar Oliveira, Teresa Oliveira, Minder, C.E.: The impact of outliers on the power of the randomization test for two independent groups. ICNAAM - International Conference on Numerical Analysis and Applied Mathematics 2011, Halkidiki, Greece, 19-25 September 2011, http://www.icnaam.org. Teresa Oliveira, Branco, F., Oliveira, A., Minder, C.E.: The effect of nonnormality on the power of randomization tests: a simulation study using normal mixtures. ICNAAM - International Conference on Numerical Analysis and Applied Mathematics 2011, Halkidiki, Greece, 19-25 September 2011, http://www.icnaam.org. Teresa Oliveira, Oliveira, A.: Experimental Design: BIBD and PBIBD applications and links. 11th annual meeting of the European Network for Business and Industrial Statistics (ENBIS-11), University of Coimbra, Portugal, 4-8 September 2011, http://www.enbis.org. Amílcar Oliveira, Oliveira, T.A.: Lifelong Learning: An Experience using R in Statistics. 3rd International Workshop on Mathematical E-Learning - E-MATH 2011, Barcelona, Spain, 21-23 June 2011. Teresa Oliveira, Oliveira, A.: Applied Statistics in the Online Environment with Computational Resources. 3rd International Workshop on Mathematical E-Learning - EMATH 2011, Barcelona, Spain, 21-23 June 2011. António Araújo, Limits of Tangents of a Quasi-Ordinary Hypersurface, Iberian Meeting on Algebraic Analysis and Geometry, Lisboa, September 2011. F.P. da Costa, J.T. Pinto, A nonautonomous predator-prey system arising from coagulation theory, Minisymposium on Kinetic Equations, EQUADIFF 2011, Loughborough, UK, August 2011. M. J. Oliveira, Glauber dynamics in the continuum via generating functionals evolution. Annual meeting of the German Mathematical Society, Minisymposium “Wechselwirkende Teilchensysteme und zugehörige nichtlineare (stochastische) Bewegungsgleichunge”, Köln, Germany, September 2011. M.R. Ramos, M. Costa. Testing the Significance of the Linear Regression Coefficients: Exploring Some Estimators for the Autocorrelation Function, ICNAAM - Internati6 onal Conference on Numerical Analysis and Applied Mathematics 2011, Halkidiki, Greece, 19-25 September 2011, http://www.icnaam.org. Pedro Serranho; Maduro C., Santos T., Cunha-Vaz J., Bernardes R., Araujo A., Barbeiro S. Ocular fundus imaging: From structure to function, Proceedings of 1st Portuguese Meeting in Bioengineering (ENBENG), 2011. Pedro Serranho; Maduro, C.; Santos, T.; Cunha-Vaz, J.; Bernardes, R.; Synthetic OCT data for image processing performance testing, Proceedings of ICIP - International Conference in Image Processing, Brussels, Belgium, September 11- 14, 2011. M.R. Ramos.; C. Martinho Practices of collaborative learning and teaching software for data analysis: An experience in Lifelong learning, 3rd International Workshop on Mathematical E-Learning (E-MATH 2011), Open University of Catalonia (UOC), Barcelona, Spain, June 2011. Pedro Serranho, Ageing from OCT: retina and brain; IBILI Annual Meeting, December 6-7, Coimbra, 2011. 3.2 In sessions of the Matemática na AbERTA seminar Teresa Oliveira (UAb), Ligações da Estatística à Matemática: Casos BIBD e BIBDR, June 17. Pedro Serranho (UAb), Problemas Inversos e Imagiologia Médica, November 15. António Araújo (UAb) Limites de Tangentes de uma Hipersuperfície Quasi-ordinária, December 15. 3.3 In other events Albuquerque, L.G., História do Cálculo para o Ensino, 1ªs Jornadas de Matemática da Universidade Aberta, 29 October, CLA Coruche. Maria João Oliveira, New analytic approach to the Glauber dynamics in continuum. Bielefeld Stochastics Afternoon, Collaborative Research Centre “Spectral Structures and Topological Methods in Mathematics” at Bielefeld University, Germany, January 12. 7 4 Research posters Pedro Serranho; R. Bernardes; C. Maduro; T. Santos; J. Cunha-Vaz, Synthetic Volume from Real Optical Coherence Tomography Data, ARVO - Association for Research in Vision and Ophthalmology, Fort Lauderdale, USA, May 1-5, 2011. Pedro Serranho; R. Bernardes; C. Maduro; J. Dinis; J. Cunha-Vaz, Adaptive Complex Diffusion Noise Despeckling For 3D OCT Data, ARVO - Association for Research in Vision and Ophthalmology, Fort Lauderdale, USA, May 1-5, 2011. Pedro Serranho; P. Rodrigues; R. Bernardes, Optical coherence tomography data analysis by support vector machines, ENBIS - European Network for Business and Industrial Statistics, September 4-8, 2011. Pedro Serranho; P. Rodrigues; P. Guimarães; R. Bernardes, Retinal Vascular Network from 2D OCT Fundus Images, IBILI Annual Meeting, December 6-7, Coimbra, 2011. Pedro Serranho; P. Guimarães ; P. Rodrigues; R. Bernardes, 3D Retinal Vascular Network from Optical Coherence Tomography data, IBILI Annual Meeting, December 6-7, Coimbra, 2011. 5 Research visits to other institutions Maria João Oliveira visited the University of Bielefeld and participated in the Workshop “Stochastic and Real World Models 2011” (Annual meeting of the German-Chinese PhD Program “International Graduate College on Stochastic and Real World Models”) July 18–22. Maria João Oliveira visited the collaborative research center “Spectral Structures and Topological Methods in Mathematics” at the Faculty of Mathematics of the University of Bielefeld, Germany, January 5–15, May 3–26 and July 10–23. 6 Research meetings and courses attended 7 Organization of research courses, meetings and seminars 7.1 Matemática na AbERTA seminars Samuel Eleutério (IST-UTL), Geometria do Mercado e Construção de Portfólios, January 27. 8 João Gomes (FCUL), Quanto vale o viés da selecção não aleatória?, February 23. Alexandre Almeida (IT) & Maria Torres (FCUL), Telecommunications and algebra: a ping-pong game, March 24. Elisabeth Carolino (IPL), Transformações de Box-Cox em Amostragem de Aceitação & Catarina Marques (ISCTE-IUL), A Abordagem FIMIX-PLS para a Identificação da Heterogeneidade não Observada na Segmentação de Visitantes de Parques Naturais, May 27. Teresa Oliveira (UAb), Ligações da Estatística à Matemática: Casos BIBD e BIBDR, June 17. Pedro Serranho (UAb), Problemas Inversos e Imagiologia Médica, November 15. António Araújo (UAb) Limites de Tangentes de uma Hipersuperfície Quasi-ordinária, December 15. 7.2 Other events João Araújo was co-organizer of the Internacional Conference Groups and Semigroups: Interactions and Computations, 25–29 July 2011 (http://caul.cii.fc.ul.p t/GSConf2011/). F.P. da Costa, co-organizer of the 3rd International Workshop on Mathematical ELearning (E-MATH 2011), eLearn Center - Universitat Oberta de Catalunya, Barcelona, June 2011. Amílcar Oliveira, Rafael Sasportes, Rosário Ramos and Teresa Oliveira (Organizer) Universidade do Algarve, Universidade Aberta, Isla de Santarém, Instituto Politécnico de Tomar and CEAUL, Members of the organizing and Scientific Committees, 5th Workshop on Statistics, Mathematics and Computation, Universidade do Algarve, Faro, July 2011. M. R. Ramos was the organizer of the monthly seminar Matemática na AbERTA, at Universidade Aberta, Portugal for the year 2011. Rafael Sasportes and Rosário Ramos organized the 1ªs Jornadas de Matemática da Universidade Aberta, at the CLA of Coruche on October 29. 9 8 8.1 Research grants and funded projects Coordinated by Secção de Matemática members Mário Edmundo, Main Researcher (IR) of the FCT Project PTDC/MAT/10 1740/2008 (O-minimality and definably compact groups), February 1 2010 to January 31 2012. Mário Edmundo, Main Researcher (IR) of the Convénio FCT/CNRS 2011, project cnrs128447776310533. (Lisbon - Dijon, O-minimality and quantifier elimination for quasi-analytic algebras of functions, and application to non-oscillation problems in dynamical systems), January 1 2011 to December 31 2011. Pedro Serranho, “3D retinal vascular network from Optical Coherence Tomography data”, FCT Project, QREN, FEDER and Program Compete, PTDC/SAU-ENB/111139/2009, Feb. 2011–Jan. 2014, Partners: IBILIUniversity of Coimbra, AIBILI-Association for Innovation and Biomedical Investigation in Light and Image. 8.2 Participated by Secção de Matemática members João Araújo, PTDC/MAT/69514/2006 Semigroups and Languages, research project funded by FCT, Portugal. João Araújo, PTDC/MAT/101993/2008 Computations in groups and semigroups, research project funded by FCT, Portugal. Maria João Oliveira, Evoluções Estocásticas, Evoluções Dissipativas e Mecânica Estatística (CMAF-UL), February 2010–January 2013, funded by FCT, Portugal, under contract PTDC/MAT/100983/2008. 9 Participation in academic juries 9.1 PhD theses 9.2 MSc theses F. P. da Costa (thesis advisor) was a member of the jury of Alfredo Cano Cancela at Universidad Nacional de Educación a Distancia, Madrid, 2011. Mário Edmundo was the president of the jury of Edgar Augusto Figueiredo Vigário at Universidade Aberta, 2011. Amílcar Oliveira (thesis advisor) was a member of the jury of José António Seijas Macias at Universidad Nacional de Educación a Distancia, Madrid, 2011. 10 Amílcar Oliveira was the president of the jury of Jucilene Siqueira at Universidade Aberta, October 2011. Amílcar Oliveira was a member (arguente) of the jury of Inês Alexandra Lopes Agostinho at the Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, July 2011. Amílcar Oliveira was a member of the jury of Lupini Toni at Universidade Aberta, March 2011. Amílcar Oliveira (thesis advisor) was a member of the jury of Márcio do Carmo Martins at Universidade Aberta, March 2011. Amílcar Oliveira was the president of the jury of Cláudia Catarina Mendes Silva da Cruz at Universidade Aberta, February 2011. Amílcar Oliveira was the president of the jury of Margarida João Ferreira Rocha at Universidade Aberta, January 2011. Teresa Oliveira was a member (arguente) of the jury of Susana Maria Gonçalves Tavares Rodrigues at the Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, April 2011. Teresa Oliveira (thesis advisor) was a member of the jury of Lupini Toni at Universidade Aberta, March 2011. Teresa Oliveira (thesis advisor) was a member of the jury of Vanessa Alves Garcia at Universidade Aberta, February 2011. Teresa Oliveira (thesis advisor) was a member of the jury of Cláudia Catarina Mendes Silva da Cruz at Universidade Aberta, February 2011. Teresa Oliveira (thesis advisor) was a member of the jury of Margarida João Ferreira Rocha at Universidade Aberta, January 2011. Pedro Serranho was a member of the jury of P. Guimarães at Universidade de Coimbra, September 2011. 11 10 Research supervision 10.1 Postdoc João Araújo supervised the post-doctorial fellowship of Dr Andreas Distler (PhD St Andrews), at CAUL, Universidade de Lisboa. M. J. Edmundo supervised the post-doctorial fellowship of Dr Marcello Mamino (PhD in Mathematics, Scuola Normale Superiore di Pisa, Italy, 2010), at CMAF, Universidade de Lisboa. M. J. Edmundo supervised the post-doctorial fellowship of Dr Janak Ramakrishnan (PhD in Mathematics, University of California, Berkeley, USA, 2008), at CMAF, Universidade de Lisboa. M. J. Edmundo supervised the post-doctorial fellowship of Dr Ayhan Gunaydin (PhD in Mathematics, University of Illinois at Urbana-Champaign, USA, 2008), at CMAF, Universidade de Lisboa. M. J. Edmundo supervised the post-doctorial fellowship of Dr Pantellemon Eleftheirou (PhD in Mathematics, University of Notre Dame, USA, 2007), at CMAF, Universidade de Lisboa, concluded July 31, 2011. M. J. Edmundo supervised the post-doctorial fellowship of Dr Tamara Servi (PhD in Mathematics, Scuola Normale Superiore di Pisa, Italy, 2007), at CMAF, Universidade de Lisboa. M. J. Edmundo supervised the post-doctorial fellowship of Dr Alexander Usvyatsov (PhD in Mathematics, The Hebrew University in Jerusalem, Israel, 2006), at CMAF, Universidade de Lisboa. 10.2 PhD Amílcar Oliveira and T. A. Oliveira supervised the research activities of Ricardo Fernando Ferreira Carneiro Pereira (2009/2013) at Universidade Aberta. Amílcar Oliveira and Maria do Rosário Almeida supervised the research activities of João Manuel do Freixo Pereira (2010/2012), PhD in Management at Universidade Aberta. T. A. Oliveira supervised the research activities of Vítor Valente (2008/2012) at Universidade Aberta. 12 T. A. Oliveira and Maria do Rosário Almeida supervised the research activities of Luís Mansos (2010/2012) at Universidade Aberta. 10.3 MSc João Araújo supervised the research activities of Edgar Vigário at Universidade Aberta (concluded March 2011). F.P. da Costa supervised the research activities of Alfredo Cano Cancela from Universidad Nacional de Educación a Distancia in Madrid (concluded in 2011). Amílcar Oliveira supervised the research activities of Márcio do Carmo Martins at Universidade Aberta (concluded March 2011). Amílcar Oliveira supervised the research activities of José António Seijas Macias from Universidad Nacional de Educación a Distancia in Madrid (concluded in October 2011). T. A. Oliveira supervised and Amílcar Oliveira co-supervised the research activities of Lupini Toni at Universidade Aberta (concluded March 2011). T. A. Oliveira supervised the research activities of Vanessa Alves Garcia at at Universidade Aberta (concluded February 2011). T. A. Oliveira supervised the research activities of Cláudia Catarina Mendes Silva da Cruz at Universidade Aberta (concluded February 2011). T. A. Oliveira supervised the research activities of Margarida João Ferreira Rocha at Universidade Aberta (concluded January 2011). João Araújo supervised the research activities of José Duarte at Universidade Aberta. João Araújo supervised the research activities of Fernanda Miranda at Universidade Aberta. Amílcar Oliveira supervised the research activities of Marcolino Sobral at Universidade Aberta. Amílcar Oliveira supervised the research activities of Oteldino Soares at Universidade Aberta. T. A. Oliveira supervised the research activities of Sandra Paula Mendes da Cruz at Universidade Aberta. 13 T. A. Oliveiraa supervised the research activities of Manuel Ana Mário Alberto at Universidade Aberta. T. A. Oliveira supervised the research activities of Pedro Filipe Francisco Rodrigues at Universidade Aberta. T. A. Oliveira supervised the research activities of Ricardo Mendes at Universidade Aberta. T. A. Oliveira supervised and Amílcar Oliveira co-supervised the research activities of Odete Omar at Universidade Aberta. T. A. Oliveira supervised the research activities of Helga Carina Baptista Martins Correia at Universidade Aberta. T. A. Oliveira supervised the research activities of Maria Cristina Campos dos Santos Ferreira at Universidade Aberta. Rosário Ramos supervised the research activities of Anabela da Costa at Universidade Aberta. Rosário Ramos supervised the research activities of Bruno Fernando Pinheiro Faria at Universidade Aberta. Rosário Ramos supervised the research activities of Mónica Ventura at Universidade Aberta. Rosário Ramos supervised the research activities of Bruno Gabriel Fonseca at Universidade Aberta. Rosário Ramos supervised the research activities of Ana Paula Guerreiro Garcia at Universidade Aberta. Rosário Ramos supervised the research activities of Dina Duarte at Universidade Aberta. Rosário Ramos supervised the research activities of Domingas Nunes at Universidade Aberta. Rosário Ramos co-supervised the research activities of Cristina Maria Ávila Cassis at Universidade Aberta. 14 Rosário Ramos co-supervised the research activities of Américo Valente at Universidade Aberta. Rosário Ramos co-supervised the research activities of Hermínia Falcão at Universidade Aberta. Rosário Ramos co-supervised the research activities of Luísa Fernandes at Universidade Aberta. Pedro Serranho supervised the research activities of Rui Venâncio at Universidade de Coimbra. 10.4 Initiation to research 11 Varia João Araújo, F. P. da Costa, M. J. Oliveira and Pedro Serranho are reviewers for the Mathematical Reviews of the American Mathematical Society. F. P. da Costa is a member of the editorial board of the International Journal of Biomathematics and Biostatistics published by Serials Publications, New Delhi. F. P. da Costa is a reviewer of the SIAM Journal of Mathematical Analysis. F. P. da Costa is a reviewer of the Proceedings of the Edinburgh Mathematical Society. M. J. Edmundo is a member of the editorial commission of the Revista das Ciências de Computação published by Universidade Aberta. Pedro Serranho is a reviewer of Inverse Problems. 15 16 Auxiliary Professor Auxiliary Professor Auxiliary Professor Auxiliary Professor Auxiliary Professor Auxiliary Professor Teaching Assistant A. Oliveira M. J. Oliveira T. A. Oliveira R. Ramos R. Sasportes P. Serranho L. Fernandes MSc Stat. & OR Doutor Math. Doutor Math. Doutora Stat. & OR Doutora Stat. & OR Doutora Math. Doutor Stat. & Optim. DPhil Math. Doutora Math. PhD Math. Doutor Math. Docteur en Math. Agregado Math. Degree Operations Research Numerical Analysis Differential Equations Statistics Data Analysis Statistics Infinite Dimensional Analysis Statistics Model Theory Mathematical Logic Commutative Algebras Semigroup Theory Independence Algebras Geometry Differential Equations Non-Standard Analysis Differential Equations Mathematical Analysis Fields Centro de Investigação Operacional/UL IBILI-Instituto Biomédico de Investigação em Luz e Imagem/UC Centro de Análise Matem., Geom. e Sist. Dinâm./UTL Centro de Matem. e Aplic. Fundamentais/UL Centro de Estatística e Aplicações/UL Centro de Matem. e Aplic. Fundamentais/UL Centro de Estatística e Aplicações/UL Centro de Matem. e Aplic. Fundamentais/UL Centro de Estruturas Lineares e Combinatórias/UL Centro de Álgebra/UL Centro de Matem. e Aplic. Fundamentais/UL Lab. de Math., Informatique et Appl./Univ. Haute-Alsace Centro de Análise Matem., Geom. e Sist. Dinâm./UTL Research Institutiona UC: Universidade de Coimbra, UL: Universidade de Lisboa, UNL: Universidade Nova de Lisboa, UTL: Universidade Técnica de Lisboa Auxiliary Professor M. J. Edmundo a Auxiliary Professor A. L. Correia Auxiliary Professor A. Araújo Auxiliary Professor Auxiliary Professor L. G. Albuquerque J. Araújo Associate Professor Position F. P. da Costa Name The following table describes the state of the Secção de Matemática as of December 31, 2011, pointing in particular to the scientific fields of endeavor of its members and to the research institutions they are associated with. In case of members belonging to more than one research institution, only the one at which he/she is a full member is refered. The Secção de Matemática at a glance APPENDIX