My ORCID number is 0000-0002-1274-3122.

I work in the research group of Algebraic Topology at the Universitat Autònoma de Barcelona and Laboratori d’Interaccions en Geometria, Àlgebra i Topologia. My main interests are:

  • Classification of saturated fusion systems of groups.
  • 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.
  • Publications
    Carles Broto, Jesper Møller, Bob Oliver, Albert Ruiz: “Realizability and tameness of fusion systems”. Proc. London Math. Soc. 127 (2023), 1816-1864. https://doi.org/10.1112/plms.12571 [online, preprint]. Bob Oliver, Albert Ruiz: “Simplicity of fusion systems of finite simple groups”. Trans. Amer. Math. Soc. 374 (2021), no. 11, 7743-7777 [online , preprint , graph of results].… Read more: Publications
  • Talks
    “All realizable fusion systems are tame”. VI Encuentro Conjunto RSME-SMM, València, 2024. “Análisis Topológico de Datos“. Semana de la Ciencia. Universidad Distrital Francisco José de Caldas, Bogotá, 2023. “Homología persistente“. Semana de la Ciencia. Universidad Distrital Francisco José de Caldas, Bogotá, 2023. “Fusion systems of finite simple groups“. Seminario Virtual… Read more: Talks
  • PhD Thesis advised
    Toni Lozano Bagén, On the exoticness of some new p-local compact groups. April 23, 2016.