Date and place of birth: Évora, 5 May, 1945.
Nationality: Portuguese.
Official address: Depart. de Matemática – Instituto Superior Técnico,
Av. Rovisco Pais – 1049-001 Lisboa – PORTUGAL
e.mail: rcordov@gmail.com
Homepage: http://www.math.ist.utl.pt/˜rcordov
Education:
1981– Docteur d’État ès Sciences (Mathématiques) – France.
1979– Docteur de l’Université Paris VI – France.
1974– Licenciatura em Matemáticas Puras, Faculdade de Ciências da Univ. de Lisboa.
Career:
1997– 2012: Investigador Coordenador da Universidade Técnica de Lisboa.
1988 – 1997: Investigador Principal da Universidade Técnica de Lisboa,
1982 – 1988: Investigador Auxiliar (INIC),
1974 – 1982: Assistente de Investigação (INIC),
1973 – 1974: Monitor de Investigação (INIC).
Principal research area : (Combinatorics) Mathematics.
Some Conferences and Workshops: “Géométrie Combinatoires : Matroïdes Orientés, Matroïdes et Applications”, 7 – 11 November 2005, CIRM-LUMINY (http://www.cirm.univ-mrs.fr/). Organisateurs: R. Cordovil (Invest. Coordenador, Instituto Superior Técnico, Lisboa, M. Las Vergnas (Dir. Rech. CNRS, Univ. Paris VI) and J. Ramirez Alfonsin (M.C., Univ. Paris 6).
“Géométrie Combinatoires: Matroïdes Orientés, Matroïdes et Applications”, 8 – 12 November 1999, CIRM-LUMINY (http://www.cirm.univ-mrs.fr/). Organisateurs: R. Cordovil (Investigador Coordenador, Instituto Superior Técnico, Lisboa, M. Las Vergnas (Dir. Rech. CNRS, Univ. Paris VI)
Fellowship:
– (1974–78): Foundation Calouste Gulbenkian,
– (1978–81): Instit. Nac. de Invest. Científica.
Editorial boards of journals:
–Portugaliæ Mathematica (1987– 2007).
–Europ. J. Combinatorics (1997– present).
Membership of Professional Societies:
–American Math. Society (– 2010),
–Société Mathématique de France, (– 2010),
–Sociedade Portuguesa de Matemática (– 2010).
[1] Cordovil, R. and Lemos, M.: “The 3-connected matroids with circumference 6”. Discrete Math., 310 (2010), 1354–1365.
[2] Cordovil, R. and Maia Junior, B. and Lemos, M.: “Removing circuits in 3-connected binary matroids”. Discrete Math., 309 (2009), 655–665.
[3] Cordovil, R. and Manoel Lemos and Cláudia Linhares Sales: “Dirac’s theorem on simplicial matroids”. Annals of Combinatorics, 13 (2009), 53–63, arXiv: math.CO/0609119.
[4] Berthomé, Pascal and Cordovil, Raul and Forge, David and Ventos, Véronique and Zaslavsky, Thomas: “An elementary chromatic reduction for gain graphs and special hyperplane arrangements”. The Eletronic Journal of Combinatorics, 16(1) (2009), # R121.
[5] Cordovil, R. and Maia Junior, B. and Lemos, M.: “The 3-connected binary matroids with circumference 6 or 7”. Europ. J. Combinatorics, 30(8) (2009), 1810–1824.
[6] Cordovil, R. and Forge, D.: “An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits”. Port. Math., 63 (2006), 363–374, arXiv: math.CO/0509629.
[7] Cordovil, R. and Forge, D.: “Gröbner and diagonal bases in Orlik-Solomon type algebras”. Cubo Journal, 7 (2005), 1–20.
[8] Cordovil, R. and Forge, D. and Klein, S.: “How is a chordal graph like a supersolvable binary matroid?”. Discrete Math., 288 (2004), 167–172, arXiv: math.CO/0212099.
[9] Cordovil, R. and Forge, D.: “A note on Tutte polynomials and Orlik–Solomon algebras”. Europ. J. Combinatorics, 24 (2003), 1081–1087, arXiv: math.CO/0203152.
[10] Cordovil, R and Forge, D.: “Quadratic Orlik-Solomon algebras of graphic matroids”. Matemática Contemporânea 25 (2003), 25–32, arXiv: math.CO/0106136.
[11] Cordovil, R and Forge, D.: “Diagonal bases in Orlik-Solomon type algebras”. Annals of Combinatorics, 7 (2003), 247–257, arXiv: math.CO/0201174.
[12] Cordovil, R.: “A commutative algebra for oriented matroids”. Discrete and Computational Geometry, 27 (2002), 73–84, MR2002m:52026.
[13] Cordovil, R., and Etienne, G.: “A note on the Orlik-Solomon algebra”. European Journal of Combinatorics 22 (2001), 165–170, MR2002a:05060.
[14] Cordovil and R., Duchet, P.: “Cyclic polytopes and oriented matroids”. Special issue on Polytopes (Komei Fukuda and Günter Ziegler, eds). Europ. J. Combinatorics, 21 no. 1 (2000), 49–64, MR2001g:52020.
[15] Cordovil, R., and Fukuda, K., and Guedes de Oliveira, A.: “On the Cocircuit-Graph of an Oriented Matroid”. Special issue dedicated to Branko Günbaum (Gil Kalai and Victor Klee eds.). Discrete and Computational Geometry, 24 (2000), 257–265, MR2001g:05032.
[16] Cordovil, R.: “The fundamental group of the complement of the complexification of a real arrangement of hyperplanes”. Advances in Applied Mathematics, 21 (1998), 481–498, MR99g:52015.
[17] Cordovil, R. and Guedes de Oliveira, A. and Las Vergnas, M.: “A generalized Desargues configuration and the pure braid group”. Discrete Math., 160 (1996), no. 1-3, 105–113, MR98b:52015.
[18] Cordovil, R.: “Coloring matroids. Graphs and combinatorics ”(Marseille, 1995). Discrete Math. 165/166 (1997), 155–160, MR97k:05047.
[19] Cordovil, R. and Fachada, J. L.: “Braid monodromy groups of wiring diagrams”. Boll. Un. Mat. Ital. B (7) 9 (1995), no. 2, 399–416, MR96e:20057.
[20] Cordovil, R.: “On the center of the fundamental group of the complement of a hyperplane arrangement”. Portugal. Math. 51 (1994), no. 3, 363–373, MR95i:52012a.
[21] Cordovil, Raul; Fukuda, Komei: “Oriented matroids and combinatorial manifolds”. Eur. J. Comb. 14 (1993), no.1, 9–15, MR1197470.
[22] Cordovil, R. and Moreira, M. L.: “Bases-cobases graphs and polytopes of matroids”. Combinatorica 13 (1993), no. 2, 157–165, MR94h:05019.
[23] Cordovil, R. and Moreira, M. L.: “A homotopy theorem on oriented matroids”. Graph theory and combinatorics (Marseille-Luminy, 1990). Discrete Math. 111 (1993), no. 1-3, 131–136, MR94d:52016.
[24] Cordovil, Raul and Guedes de Oliveira, António: “A note on the fundamental group of the Salvetti complex determined by an oriented matroid”. European J. Combin. 13 (1992), no. 6, 429–437, MR93j:52021.
[25] Cordovil, Raul and Fukuda, Komei and Moreira, Maria Leonor: “Clutters and matroids”. Discrete Math. 89 (1991), no. 2, 161–171, MR 92d:05040.
[26] Cordovil, Raul and Duchet, Pierre: “On sign-invariance graphs of uniform oriented matroids”. Discrete Math. 79 (1990), no. 3, 251–257, MR92a:05034.
[27] Cordovil, Raul and Guedes de Oliveira, A. and Moreira, M. Leonor: “Parallel projection of matroid spheres”. Portugal. Math. 45 (1988), no. 4, 337–346, MR90c:05049.
[28] Cordovil, R. and Dias da Silva, J. A. and Fonseca, Amélia: “On the notion of transversal of a sum of matroids”. Portugal. Math. 45 (1988), no. 3, 317–325, MR89j:05027.
[29] Cordovil, Raul: “Polarity and point extensions in oriented matroids”. Linear Algebra Appl. 90 (1987), 15–31, MR88k:05050.
[30] Cordovil, Raul and Silva, Ilda P.: “Determining a matroid polytope by non-Radon partitions”. Linear Algebra Appl. 94 (1987), 55–60, MR88g:05041.
[31] Bienia, W. and Cordovil, Raul: “An axiomatic of non-Radon partitions of oriented matroids”. European J. Combin. 8 (1987), no. 1, 1–4, MR 88c:05039.
[32] Cordovil, Raul and Dilão, Rui and Noronha da Costa, Ana: “Periodic orbits for additive cellular automata”. Discrete Comput. Geom. 1 (1986), no. 3, 277–288, MR87k:68114.
[33] Cordovil, Raul and Duchet, Pierre: “Séparation par une droite dans les matröides orientés de rang 3”. (French) [Separation by a line in oriented matroids of rank 3]. Discrete Math. 62 (1986), no. 1, 103–104, MR87i:05061.
[34] Cordovil, Raul: “On simplicial matroids and Sperner’s lemma”. Matroid theory (Szeged, 1982), 97–105, Colloq. Math. Soc. János Bolyai, 40, North-Holland, Amsterdam, 1985, MR87g:05065.
[35] Cordovil, Raul: “Oriented matroids of rank three and arrangements of pseudolines”. Combinatorial mathematics (Marseille-Luminy, 1981), 219–223, North-Holland Math. Stud., 75, North-Holland, Amsterdam, 1983, MR87g:05064.
[36] Cordovil, Raul: “A combinatorial perspective on the non-Radon partitions”. J. Combin. Theory Ser. A 38 (1985), no. 1, 38–47, MR87e:52003a.
[37] Cordovil, Raul; Silva, Ilda P.: “A problem of McMullen on the projective equivalences of polytopes”. European J. Combin. 6 (1985), no. 2, 157–161, MR 87c:52011.
[38] Cordovil, Raul: “Sur la compatibilité des extensions ponctuelles d’un matroïide”. (French) [On the compatibility of the single-element extensions of a matroid]. J. Combin. Theory Ser. B 34 (1983), no. 2, 209–223, MR 85f:05038 .
[39] Cordovil, Raul: “Sur un théorème de séparation des matroïides orientés de rang trois”. (French) [A separation theorem for oriented matroids of rank three]. Discrete Math. 40 (1982), no. 2–3, 163–169, MR 85c:05014.
[40] Cordovil, Raul: “Oriented matroids and geometric sorting”. Canad. Math. Bull. 26 (1983), no. 3, 351–354, MR84j:05038.
[41] Cordovil, Raul: “Sur les matroïdes orientés de rang 3 et les arrangements de pseudodroites dans le plan projectif réel. (French) [Oriented matroids of rank 3 and arrangements of pseudolines in the real projective plane].” European J. Combin. 3 (1982), no. 4, 307–318, MR84j:05031.
[42] Cordovil, Raul: “The directions determined by n points in the plane: a matroidal generalization”. Discrete Math. 43 (1983), no. 2–3, 131–137, MR84i:05039.
[43] Cordovil, Raul: “ On Reid’s 3-simplicial matroid theorem”. Combinatorica 2(1982), no. 2, 135–141, MR84c:05029.
[44] Cordovil, Raul and Las Vergnas, Michel and Mandel, Arnaldo: “Euler’s relation, Möbius functions and matroid identities. Geom. Dedicata 12 (1982), no. 2, 147–162, MR83d:05030.
[45] Cordovil, Raul: “Sur l’évaluation t(M; 2, 0) du polynôme de Tutte d’un matroïde et une conjecture de B. Grünbaum relative aux arrangements de droites du plan”. (French) European J. Combin. 1 (1980), no. 4, 317–322, MR82j:05043.
[46] Cordovil, Raul: “Representation over a field of full simplicial matroids”. European J. Combin. 1 (1980), no. 3, 201–205, MR82c:05038.
[47] Cordovil, Raul: “Sur les orientations acycliques des géométries orientées de rang trois”. (French) Combinatorics 79 (Proc. Colloq., Univ. Montreal, Montreal, Que., 1979), Part II. Ann. Discrete Math. 9 (1980), 243–246, MR82c:05037.
[48] Cordovil, R. and Las Vergnas, M.: “Géometries simpliciales unimodulaires”. (French) Discrete Math. 26 (1979), no. 3, 213–217, MR80j:05039.
[49] Cordovil, Raul: “Sur les géométries simpliciales”. (French) C. R. Acad. Sci. Paris Sér. A 286 (1978), no. 25, A1219–A1222, MR58:10535.
[50] Cordovil, Raul: “Extensions lisses d’une géométrie combinatoire”. (French) C. R. Acad. Sci. Paris Sér.A 284 (1977), no. 20, A1249–A1252, MR56:2850.
[51] Cordovil, Raul; Lindström, Bernt: “Simplicial matroids”. Combinatorial geometries, 98–113. Encyclopedia Math. Appl., 29, Cambridge Univ. Press, Cambridge, 1987, MR921070.
[52] Orestes Cerdeira, J. and Cordovil, R. and Valsassina Heitor, T. : “ On the characterization of Axial Maps”. Environment and planning B: Planning and Design, 23 (1996), 771–780.
[53] Cordovil, R. and Las Vergnas, M.: “COMBINATORIAL GEOMETRIES”. Papers from the Meeting on Combinatorial Geometries: Oriented Matroids, Matroids, and Applications held at the University of Marseille-Luminy, Luminy, November 8–12, 1999. Edited by Raul Cordovil and Michel Las Vergnas. European J. Combin. 22 (2001), no. 5, pp. 577–776, MR1 845 483.
[54] Cordovil, R. and Ramirez Alfonsn, J.: ”COMBINATORIAL GEOMETRIES AND APPLICATIONS: ORIENTED MATROIDS AND MATROIDS”. Papers from the Meeting on Combinatorial Geometries: Oriented Matroids, Matroids, and Applications held at the University of Marseille-Luminy, Luminy, November 711, 2005. European J. Combin. Volume 30 (2009), no. 8 pp. 1725–1979.