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JORGE LOPEZ ABAD -  SECR. DPTO. MATEMÁTICAS FUNDAMENTALES

JORGE LOPEZ ABAD

SECR. DPTO. MATEMÁTICAS FUNDAMENTALES

CATEDRÁTICO DE UNIVERSIDAD

MATEMÁTICAS FUNDAMENTALES

FACULTAD DE CIENCIAS

abad@mat.uned.es

(+34) 91398-7234

Academic Information

  • Undergraduate  Education: Licenciado en Ciencias Matemáticas. Universitat de Barcelona. 1993
  • Graduate Education: PhD in Mathematics.  Universitat de Barcelona. 2000

Academic positions held

Full professor, member of the Departamento de Matemáticas Fundamentales.

Research activity

  • More than 30 papers: JEMS, AiM, JFA, MA, TAMS,...
     
  • More than 30 invited talks in the last 10 years, 3 of them plenary.
     
  • Seminar talks at: Fields Institute, Toronto, IMPA, Paris 6, Paris 7, Lyon, Praga,
       ICMAT, etc.
  • Member of research projects:
    •  co-IP of the Spanish research project "Operadores, retículos y estructura de espacios de Banach (PID2019-107701GB-I00)".
    • Member of the research group UCM 910346 - Operadores, estructura y geometría de espacios de Banach.
    • Visiting researcher of the University of Sao Paulo project "Geometry of Banach spaces FAPESP 2016/25574-8".
    • In the last 10 years:
      • 5 research projects funded by the Spanish ministry: PID2019-107701GB-I00, MTM2016-76808-P,  MTM2012-31286, MTM2008-02652,MTM2008-03389.
      • 1 european project: "New Frontiers of Infinity: Mathematical, Philosophical, and Computational Prospects. 07-RNP-114
      • 1 french project: "Actions de groupes et théorie des modèles (AGRUME)"
      • 1 brazilian project: FAPESP 2016/25574-8.
  • Several research stays: Fields Institute (Toronto), Isaac Newton institute (Cambridge), Mittag Leffler (Djursholm), CIRM (Luminy), MFO (Oberwolfach), Bernoulli center (Lausanne), Birs (Banff), etc.
  • Co-organizer of the "Workshop on Forcing Axioms and their Applications" The Fields Institute, Toronto (2012), "Rencontre Géométrie des espaces de Banach" CIRM, Luminy, (2012), "First Brazilian Workshop in Geometry of Banach Spaces", Sao Paulo, (2014).

 

Professional experience

  • Full Professor at UNED (02/2022--)
  • Associate Professor at UNED (27/03/2018-14/02/2002)
  • Maître de Conférences in France (01/09/2004--). On leave
  • Associate Professor "Contratado Doctor RyC" at UNED (01/09/2017--26/03/2018)
  • Visiting professor at the University of Sao Paulo (05/05/2014--04/05/2015)
  • Researcher  "Ramón y Cajal" (01/06/2008--31/05/2015)
  • Postdoctoral fellow RED (01/01/2004--31/08/2004)
  • Postdoctoral fellow  Marie Curie (15/06/2001--14/06/2003)
Docencia

N.º of recognized sections of teacher evaluation

2

Research

INVESTIGATION GROUPS

  • Ecuaciones Diferenciales, Espacios de Banach y Aplicaciones. EDEBA Propiedades Cualitativas de Ecuaciones en Derivadas Parciales Geometría de Espacios de Banach Dinámica Topológica de Grupos de Isometrías Ecuaciones diferenciales y aplicaciones Modelos Matemáticos en Ciencias Naturales.   + info

PROYECTOS DE INVESTIGACIÓN

  • Operators, Lattices and Structure of Banach Spaces The project takes place within the framework of Banach spaces and Banach lattice structure, as well as operators between them. +info
  • Grupo de investigación UCM 910346 - Operadores, estructura y geometria de espacios de Banach.  Retículos de Banach y Operadores; Espacios de Banach; Operadores; Geometria de Espacios de Banach; Polinomios y Aplicaciones Multilineales; Topología en espacios de Banach; Economía Matemática +info
  • Geometry of Banach spaces FAPESP 2016/25574-8 We study   geometric properties and isometries of Banach spaces. +info

N.º of recognized sections of research activity

3

Publications

  • PUBLICATIONS IN JOURNALS
    • Dana Bartošová; Jordi Lopez Abad; Martino Lupini; Brice Mbombo. The Ramsey property for Banach spaces and Choquet simplices. Journal of the European Mathematical Society.  24 (2022), no. 4, 1353–1388.  Available on-line at: <https://www-ems-ph-org.ezproxy.uned.es/journals/show_abstract.php?issn=1435-9855&vol=24&iss=4&rank=6>.
    • D. Bartošová; J. Lopez-Abad; M. Lupini; B. Mbombo. The Ramsey properties for Grassmannians over R, C. Combinatorica. Online First, pp. 61 pp. Springer, 20/11/2021. Available on-line at: <arXiv:1910.00311>.
    •  Dana Bartošová; Jordi Lopez Abad; Martino Lupini; Brice Mbombo. The Ramsey property for Operator spaces and noncommutative Choquet simplices. Journal of Functional Analysis. 281 - 9, pp. 39 páginas. 01/11/2021. Available on-line at: <10.1016/j.jfa.2021.109192>.
    • Jamal Kawach; Lopez Abad Jordi. Fraïssé and Ramsey properties of Fréchet spaces. Journal of Mathematical Analysis and Applications. 507 - 1, pp. 25p. Elsevier, 20/10/2021. Available on-line at: <10.1016/j.jmaa.2021.125769>.
    • Ben Yaacov, Itaï; Conant, Gabriel; Freer, Cameron; Gray, Robert; Lopez-Abad, Jordi; Lupini, Martino; Nguyen Van Thé, Lionel; Pawliuk, Micheal; Pinsker, Michael; Pouzet, Maurice; Sauer, Norbert; Truss, John; Zucker, Andrew Homogeneous structures—a list of open problems. Contrib. Discrete Math. 16 (2021), no. 2, 128–136.
    • V. Ferenczi; J. Lopez-Abad; B. Mbombo; S. Todorcevic. Amalgamation and Ramsey properties of $L_p$-spaces. Advances in Mathematics. 369 - 107190, pp. 76 pp. Elsevier, 07/05/2020. Available on-line at: <DOI: 10.1016/j.aim.2020.107190>.
    • C. Brech; J. Lopez-Abad; S. Todorcevic. Homogeneous families on trees and subsymmetric basic sequences.Advances in Mathematics. 334, pp. 322 - 388. Academic press inc Elsevier science, 30/06/2018. Available on-line at: <https://doi.org/10.1016/j.aim.2018.06.008>. ISSN 0001-8708
    • Dana Bartošová; Jordi Lopez Abad; Martino Lupini; Brice Mbombo. The Ramsey property for Banach spaces and Choquet simplices, and applications. Comptes Rendus Mathematique. 355 - 12, pp. 1242 - 1246. Elsevier, 01/12/2017. Available on-line at: <https://doi.org/10.1016/j.crma.2017.11.001>.
    • Jordi Lopez Abad; Pedro Tradacete. Shellable weakly compact subsets of C[0,1]. Mathematische Annalen. 367- 3-4, pp. 1777 - 1790. Springer Heidelberg, 04/2017. Available on-line at: <10.1007/s00208-016-1473-3>. ISSN 0025-5831
    • Jordi Lopez Abad; Pedro Tradacete. Bases of random of unconditional convergence. Transactions of the American Mathematical Society. 368, pp. 9001 - 9032. Amer Mathematical Soc, 12/2016. Available on-line at:<10.1090/tran/6636>. ISSN 0002-9947
    • J. Flores; J. Lopez-Abad; P. Tradacete. Banach lattice versions of strict singularity. Journal of Functional Analysis. 270 - 7, pp. 2715 - 2731. Academic Press Inc Elsevier Science, 01/04/2016. Available on-line at: <10.1016/j.jfa.2016.01.012>. ISSN 0022-1236
    • Lopez-Abad, J.. Families of finite subsets of N. Zbornik Radova. 17 - 25, pp. 145 - 169. Matematicki institut SANU, 2015. Available on-line at: <http://elib.mi.sanu.ac.rs/files/journals/zr/25/zrn25p145-169.pdf>. ISSN 0351-9406, ISBN 978-86-80593-53-1
    • J. Lopez-Abad; C. Ruiz; P. Tradacete. The convex hull of a Banach-Saks set. Journal of Functional Analysis. 266 - 4, pp. 2251 - 2280. Academic Press Inc Elsevier Science, 15/02/2014. Available on-line at: <10.1016/j.jfa.2013.06.020>. ISSN 0022-1236
    • Jordi Lopez-Abad. Large cardinals and basic sequences. Annals of Pure and Applied Logic. 164 - 12, pp. 1390 - 1417. Elsevier Science Bv, 12/2013. Available on-line at: <10.1016/j.apal.2013.06.016>. ISSN 0168-0072
    • Jordi Lopez-Abad. A Bourgain-Pisier construction for general Banach spaces. Journal of Functional Analysis. 265 - 7, pp. 1423 - 1441. Academic Press Inc Elsevier Science, 01/10/2013. Available on-line at: <10.1016/j.jfa.2013.05.039>. ISSN 0022-1236
    • Jordi Lopez-Abad; Stevo Todorcevic. Positional graphs and conditional structure of weakly null sequences. Advances in Mathematics. 242, pp. 163 - 186. Academic Press Inc Elsevier Science, 01/08/2013. Available on-line at: <10.1016/j.aim.2013.04.010>. ISSN 0001-8708
    • P. Dodos; J. Lopez-Abad; S. Todorcevic. Partition ideals below ?_?. Fundamenta Mathematicae. 217 - 1, pp. 21 -34. Polish Acad Sciences Inst Mathematics, 2012. Available on-line at: <10.4064/fm217-1-3>.
    • J. Lopez-Abad; S. Todorcevic. Generic Banach spaces and generic simplexes. Journal of Functional Analysis. 261 - 2, pp. 300 - 386. Academic Press Inc Elsevier Science, 15/07/2011. Available on-line at: <10.1016/j.jfa.2011.03.008>.
    • Pandelis Dodos; Jordi Lopez-Abad; Stevo Todorcevic. Unconditional basic sequences in spaces of large density. Advances in Mathematics. 226 - 4, pp. 3297 - 3308. Academic Press Inc Elsevier Science, 01/03/2011. Available on-line at: <10.1016/j.aim.2010.10.012>. ISSN 0001-8708
    • Jordi Lopez Abad. Some problems concerning basic sequences in Banach spaces. Extracta Mathematicae. 26- 2, pp. 295 - 316. Departamento de Matemáticas de la Universidad de Extremadura, 2011. Available on-line at: <https://www.eweb.unex.es/eweb/extracta/Vol-26-2/26B2LopezAbad.pdf>
    • P. Dodos; J. Lopez-Abad; S. Todorcevic. Banach spaces and Ramsey Theory: some open problems. Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie a-Matematicas. 104 - 2, pp. 435 - 450. Springer-Verlag Italia Srl, 09/2010. Available on-line at: <10.5052/RACSAM.2010.27>.
    • J. Lopez-Abad; S. Todorcevic. A c_0-saturated Banach space with no long unconditional basic sequences.Transactions of the American Mathematical Society. 361 - 9, pp. 4541 - 4560. Amer Mathematical Soc, 09/2009. Available on-line at: <10.1090/S0002-9947-09-04858-2>.
    • J. Lopez-Abad; S. Todorcevic. Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces. Topology and Its Applications. 156 - 7, pp. 1396 - 1411. Elsevier Science Bv, 01/04/2009. Available on-line at: <10.1016/j.topol.2008.12.026>. ISSN 0166-8641
    • J. Lopez-Abad; A. Manoussakis. A classification of Tsirelson type spaces. Canadian Journal of Mathematics-Journal Canadien De Mathematiques. 60 - 5, pp. 1108 - 1148. Canadian Mathematical Soc, 10/2008. Available on-line at: <10.4153/CJM-2008-049-0>.
    • J. Lopez-Abad; L. Nguyen Van The. The oscillation stability problem for the Urysohn sphere: A combinatorial approach. Topology and Its Applications. 155 - 14, pp. 1516 - 1530. Elsevier Science Bv, 15/08/2008. Available on-line at: <10.1016/j.topol.2008.03.011>. ISSN 0166-8641
    • Pandelis Dodos; Jordi Lopez-Abad. On unconditionally saturated Banach spaces. Studia Mathematica. 188 - 2, pp. 175 - 191. Polish Acad Sciences Inst Mathematics, 2008. Available on-line at: <10.4064/sm188-2-5>. ISSN 0039-3223
    • J. Lopez-Abad. Canonical equivalence relations on nets of PSc0. Discrete Mathematics. 307 - 23, pp. 2943 - 2978. Elsevier Science Bv, 06/11/2007. Available on-line at: <doi.org/10.1016/j.disc.2007.03.010>. ISSN 0012-365X
    • J. Lopez-Abad. Barriers and near unconditionality. Oberwolfach Reports (OWR). 2005, 2 - 4, pp. 3145 - 3147. European Mathematical Society publishing house, 30/09/2006. Available on-line at: <10.4171/OWR/2005/55>.
    • Jordi Lopez Abad; Stevo Todorcevic. Partial unconditionality of weakly null sequences. RACSAM. 100, pp. 237 -277. SpringerSpringer, 2006. Available on-line at: <http://dmle.icmat.es/pdf/RACSAM_2006_100_01-02_15.pdf>.
    • J Lopez-Abad. Coding into Ramsey sets. Mathematische Annalen. 332 - 4, pp. 775 - 794. Springer, 01/08/2005. Available on-line at: <10.1007/s00208-005-0653-3>.
    • SA Argyros; J Lopez-Abad; S Todorcevic. A class of Banach spaces with few non-strictly singular operators. Journal of Functional Analysis. 222 - 2, pp. 306 - 384. Academic Press Inc Elsevier Science, 15/05/2005. Available on-line at: <doi.org/10.1016/j.jfa.2004.11.001>. ISSN 0022-1236
    • SA Argyros; J Lopez-Abad; S Todorcevic. A class of Banach spaces with no unconditional basic sequence. Comptes Rendus Mathematique. 337 - 1, pp. 43 - 48. 01/07/2003. Available on-line at: <10.1016/S1631-073X(03)00272-3>. ISSN 0764-4442
    • J. Lopez-Abad. Canonical equivalence relations of FINk. Oberwolfach Reports (OWR). Tagungsberichte. 2002 - 3, pp. 7 - 8. 2002. Available on-line at: <10.14760/TB-2002-3>.
    • J Bagaria; J Lopez-Abad. Determinacy and weakly Ramsey sets in Banach spaces. Transactions of the American Mathematical Society. 354 - 4, pp. 1327 - 1349. 2002. Available on-line at:<https://doi.org/10.1090/S0002-9947-01-02926-9>. ISSN 0002-9947
    • J Bagaria; J Lopez-Abad. Weakly Ramsey sets in Banach spaces. Advances in Mathematics. 160 - 2, pp. 133 - 174. 25/06/2001. Available on-line at: <10.1006/aima.2001.1983>. ISSN 0001-8708
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Otros

Other activities

Experience in educational, scientific and technological management and administration

* Academic secretary  of the  "Departamento de Matemáticas Fundamentales". 14/06/2020--
* Member of the "Bureau de L'Équipe de Logique Mathématique" (Université Paris VII) 2005-2008.
* Organizer of the  "Séminaire de Théorie des Ensembles" (Université Paris VII). 2005-2008.
* Organizer of the "Séminaire général de Logique" (Université Paris VII) 2005-2008.