Universidad de Almería

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Carles Casacuberta (Barcelona, Spain)

David Chataur (Lille, France)

Rüdiger Göbel (Essen, Germany)

Luis Javier Hernández (La Rioja, Spain)

Frank Neumann (Leicester, U.K.)

Jérôme Scherer (Barcelona, Spain)

Saharon Shelah (Jerusalem, Israel)

Lutz Strüngmann (Essen, Germany)

Jacques Thévenaz (Lausanne, Switzerland)

Antonio Viruel (Málaga, Spain)

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Research

I am mainly interested on Algebraic Topology, Homological Algebra and Group Theory. On the other hand, I would like to know more about Motivic Homotopy Theory, K-Theory, Operads and String and Brane Topology.

Current research groups and projects:

• Project "Estructuras homotópicas de nivel superior", supported by the Spanish Ministry of Education and Science under MEC-FEDER grant MTM2007-63277. It is coordinated by C. Casacuberta (U. Barcelona). Our group participates in the Ingenio Mathematica i-MATH project.
• Grup de Recerca en Geometria i Topologia Algebraica, AGAUR (2009 SGR 119). See the old web of the Barcelona Algebraic Topology Group.
• Group "Geometría y Topología Universidad de Málaga" supported by the Junta de Andalucía (CEC-Junta de Andalucía, grant FQM-213).
• Project "Métodos geométricos y topológicos en economía, física aplicada y robótica" (P07-FQM-02863), coordinated by Antonio Viruel (U. Málaga).

Brief curriculum vitae

List of preprints and publications

Last update: January 15, 2010.
Reviews of my published works can be found in MathSciNet and also in Zentralblatt MATH by indicating "Rodríguez, José L."

• F. Neumann and J. L. Rodríguez, Geometric string and brane topology of differentiable stacks, in preparation.
  
• J. L. Rodríguez and L. Strüngmann, Cellular covers with free kernel, http://arxiv.org/abs/1001.2457.
  
• R. Göbel, J. L. Rodríguez, and L. Strüngmann, Cellular covers of cotorsion-free modules. http://arxiv.org/abs/0906.4183.
  
• C. Casacuberta, J. L. Rodríguez, and J.-Y. Tai, Localizations of abelian Eilenberg-Mac Lane spaces of finite type, (preprint 2010, first version 1998). (PDF file)

[17] J. L. Rodríguez and J. Scherer, A connection between cellularization for groups and spaces via two-complexes. Journal of Pure and Applied Algebra, Vol 212 (2008), 1664-1673. DOI: 10.1016/j.jpaa.2007.11.002. PDF file.

[16] F. Neumann and J. L. Rodríguez, On cellularization for simplicial presheaves and motivic homotopy theory. Topology and its Applications, 154 (2007), 1481--1488. PDF file. (See a presentation in Spanish, given at SECAII, Granada 2004)

[15] J. L Rodríguez, J. Scherer, and A. Viruel, Non simple localizations of finite simple groups. Journal of Algebra, Vol. 305 (2) (2006), 765-- 774. PDF file.

[14] D. Chataur, J. L. Rodríguez, and J. Scherer, Realizing operadic plus-construction as nullifications. K-theory 33 (2004), 1--21. PDF file.

[13] J. L. Rodríguez, J. Scherer, and L. Strüngmann, On localizations of torsion abelian groups. Fund. Math. 183 (2004), 123--138. (PDF file of a previous version).

[12] J. L Rodríguez, J. Scherer, and A. Viruel, Preservation of perfectness and acyclicity. Berrick and Casacuberta's universal acyclic space localized at a set of primes. Forum Math. 17 (2005), no. 1, 67--75. (Preprint version math.GR/0301325).

[11] J. L. Rodríguez and D. Scevenels, Homology equivalences inducing an epimorphism on the fundamental group and Quillen's plus construction. Proc. AMS. 132, No.3, 891--898 (2004).(Preprint version math.AT/0301328).

[10] J. L. Rodríguez, J. Scherer, and J. Thévenaz, Finite simple groups and localization, Israel J. of Math. 131 (2002) 185--202. (Preprint versiton math.GR/0012217).

[9] R. Göbel, J. L. Rodríguez, and S. Shelah, Large localizations of finite simple groups., Crelle's Journal, 550 (2002) 1--24. (Abstract) (DVI file)

[8] J. L. Rodríguez and D. Scevenels, Iterating series of localization functors, Une dégustation topologique [Topological morsels]: homotopy theory in the Swiss Alps (Arolla, 1999), 211--221, Contemp. Math., 265, Amer. Math. Soc., Providence, RI, 2000. (Abstract) (DVI file)

[7] J. L. Rodríguez and J. Scherer, Cellular approximations using Moore spaces. Cohomological methods in homotopy theory (Bellaterra, 1998), 357--374, Progr. Math., 196, Birkhäuser, Basel, 2001. (Abstract) (DVI file)

[6] J. L. Rodríguez and D. Scevenels, Localizations associated to semidirect products. Topology and its Applications, 108 (2) (2000),  169--177. (Abstract) (DVI file)

[5] J. L. Rodríguez and D. Scevenels, Universal epimorphic equivalences for group localizations, J. Pure Appl. Algebra, 148 (3) (2000), 309--316. (Abstract) (DVI file)

[4] C. Casacuberta, J. L. Rodríguez, and D. Scevenels, Singly generated radicals associated with varieties of groups, in: Proceedings of Groups St Andrews 1997 in Bath I, London Math. Soc., Lecture Note Series 260, Cambridge University Press (1999). (Abstract) (DVI file)

[3] C. Casacuberta and J. L. Rodríguez, On weak homotopy equivalences between mapping spaces, Topology 37 (1998), 709--717. (Abstract) (DVI file)

[2] C. Casacuberta, L. J. Hernández Paricio, and J. L. Rodríguez, Models for torsion homotopy types, Israel J. Math. 107 (1998), 301--318. (Abstract) (DVI file)

[1] C. Casacuberta and J. L. Rodríguez, On towers approximating homological localizations, J. London Math. Soc. (2) 56 (1997), 645--656. (Abstract) (DVI file)