Algebraic Topology Group Departament de Matemàtiques UAB Campus Virtual UAB Societat Catalana de Matemàtiques



I work in the research group of Algebraic Topology at the Universitat Autònoma de Barcelona and my main research interest are:

  • Exotic examples of p-local finite groups.
  • Classifying spaces of finite groups, compact groups and Kac-Moody groups.
  • Mapping spaces between classifying spaces.
  • Cohomological unicity of classifying spaces.


  • Bob Oliver, Albert Ruiz: "Reduced fusion systems over p-groups with abelian subgroup of index p: III". [preprint].
  • Alex Gonzalez, Toni Lozano, Albert Ruiz: "On some new examples of p-local compact groups". [preprint].
  • Jon González, Albert Ruiz, Antonio Viruel: "On Thompson's p-complement theorems for saturated fusion systems". Kyoto J. Math. 55 (2015), no. 3, 617–626.[online,preprint].
  • Jaume Aguadé, Albert Ruiz: "Cohomology of Kac-Moody groups over a finite field". Algebr. Geom. Topol. 13 (2013), no. 4, 2207-2238 [online,preprint].


PhD Thesis advised

  • Toni Lozano Bagén, On the exoticness of some new p-local compact groups. April 23, 2016.


  • "On the classification of p-local compact groups over a fixed distrete p-toral group". Cat-Sp-Sw-Math meeting, Umeå (Sweden), 2017 [pdf].
  • "Cohomología y unicidad cohomológica". Encuentro de jóvenes topólogos, Universidad Distrital Francisco José de Caldas, Bogotá, (Colombia), 2016.
  • "Estructura p-local de grupos finitos y compactos". X Jornada de Matemáticas, Universidad Distrital Francisco José de Caldas, Bogotá, (Colombia), 2016.


Barcelona Topology Workshop

The Barcelona Topology Workshop is the annual meeting of the Grup de Topologia Algebraica de Barcelona.

This year (2013), we take the opportunity to celebrate the 60th anniversary of Jaume Aguadé, promoter and prominent member of the group.

More details on the workshop web-page.