Carles Casacuberta

Carles Casacuberta

Carles Casacuberta
PhD in mathematics, from Universitat Autònoma de Barcelona, 1988.
Professor at Universitat de Barcelona.

Personal webpage



Director of the Institute of Mathematics of the University of Barcelona (2010-2018). President of the European Solidarity Committee (2011-2016) and Publications Officer (1997-2002) of the European Mathematical Society. Member of the governing board of the Centre de Recerca Matemàtica (2003-2010). President of the Catalan Mathematical Society (2002-2006). Coordinator of the Spanish Network of Mathematical Institutes (2014-2015) and of the Spanish Topology Network (2008-2009). Director of the Algebra and Geometry Department of the University of Barcelona (2002-2006). Member of the editorial board of Springer Universitext since 2007 and of the Mediterranean Journal of Mathematics since 2003. Editor in chief of Advanced Courses in Mathematics CRM Barcelona (2009-2013).


Research interests

  • Implications of set-theoretical methods in algebraic topology
  • Homotopical localizations in model categories
  • Motivic homological localizations
  • Reflective subcategories of triangulated categories
  • Preservation of algebras over monads by idempotent transformations


Selected publications

  • Definable orthogonality classes in accessible categories are small (with J. Bagaria, A. R. D. Mathias, and J. Rosický). Journal of the European Mathematical Society 17 (2015), 549-589.
  • A generalization of Ohkawa’s theorem (with J. J. Gutiérrez and J. Rosický). Compositio Mathematica 150 (2014), 893-902.
  • Are all localizing subcategories of stable homotopy categories coreflective? (with J. J. Gutiérrez and J. Rosický). Advances in Mathematics 252 (2014), 158-184.
  • Localization of algebras over coloured operads (with J. J. Gutiérrez, I. Moerdijk, and R. M. Vogt). Proceedings of the London Mathematical Society 101 (2010), 105-136.
  • Implications of large-cardinal principles in homotopical localization (with D. Scevenels and J. H. Smith). Advances in Mathematics 197 (2005), 120-139.