Research Group in Algebraic Topology

Current Project

  • Algebraic and low-dimensional topology (2017-2020)

    MTM2016-76453-C2-1-P and MTM2016-76453-C2-2-P, Agencia Estatal de Investigación

Description and Members

This is a coordinated research project with a partner team at Universidad de Sevilla. The project focuses on a number of topics in homotopy theory (higher homotopical structures, triangulated categories, operads, homotopy combinatorics, homological stability, mixed Hodge structures, infinity categories, localizations and cellular approximations, motivic homotopy) and low-dimensional topology (mapping class groups, braid groups, algorithmic group theory, knot polynomials, Khovanov homology, Bredon homology).

Past Projects

  • Enhanced homotopy (2014-2016)
    MTM2013-42178-P, Ministerio de Economía y Competitividad
  • Higher homotopy in algebra and geometry (2010-2013)
    MTM2010-15831, Ministerio de Ciencia e Innovación
  • Higher homotopical structures (2007-2010)
    MTM2007-63277, Ministerio de Educación y Ciencia
  • Localizations in simplicial model categories (2004-2007)
    MTM2004-03629, Ministerio de Educación y Ciencia
  • Universal constructions in stable and unstable homotopy (2001-2004)
    BFM2001-2031, Ministerio de Ciencia y Tecnología
  • Homological and homotopical localizations (1998-2001)
    PB97-0202, Dirección General de Enseñanza Superior