(Co)organized events





  • The Cuntz semigroup and the classification of C*-algebras, Centre de Recerca Matemàtica (Barcelona), February to July 2011 (Program Coordinator, jointly with Pere Ara).
  • Workshop on Dynamics and C*-algebras, Centre de Recerca Matemàtica (Barcelona), April 6-8, 2011 (Member of the Organizing Committee).
  • Advanced Course on Dynamical Systems, Centre de Recerca Matemàtica (Barcelona), June 14-23, 2011 (Member of the Organizing Committee).
  • Conference on Structure and Classification of C*-algebras, Centre de Recerca Matemàtica (Barcelona), June 6-10, 2011 (Member of the Organizing Committee).




  • Discrete and Continuous Methods in Ring Theory, Centre de Recerca Matemàtica (Barcelona), September 2006-July 2007 (coordinated jointly with Prof Dolors Herbera).
  • Barcelona Conference on C*-algebras and their invariants, Centre de Recerca Matemàtica (Barcelona), June 11-15, 2007 (Coordinator).



  • Ring Theory Seminar, Departament de Matemàtiques, Universitat Autònoma de Barcelona (Coordinator).


  • Segundas Jornadas Españolas en Teoría de Anillos, Centre de Recerca Matemàtica (Barcelona), April 1997 (Member of the Organizing Committee).

Research visits and Seminar talks

  • Universidad de Málaga, July 22-26, 2019, to visit Prof Mercedes Siles Molina. Seminar talk: Ultraproductos de C*-álgebras, su semigrupo de Cuntz, y sus (cuasi)trazas.
  • ICMAT (Madrid), March 18-29, 2019, partipated in the Thematic Research Program: Operator Algebras, Groups, and Applications to Quantum Information. Seminar talk: The beauty of the Cuntz semigroup.
  • Universitat Autònoma de Barcelona, October 2018. Seminar talk: Existence of infima in Cuntz semigroups and applications to the structure of C*-algebras with stable rank one.
  • University of Glasgow, April 16-20, 2018, to visit Prof Joachim Zacharias.
  • NTNU (Trondheim), November 21-25, 2016, to visit Prof Eduard Ortega. Seminar talk: Completeness of the category Cu and ultraproducts of C*-algebras.
  • Mittag-Leffler Institute (Stockholm), February 21 to March 18, 2016, participated in the Research Program: Classification of Operator Algebras: Complexity, Rigidity, and Dynamics.
  • Research in Pairs at the Mathematical Research Institute of Oberwolfach, March 9-20, 2015, to work with Ramon Antoine and Hannes Thiel.
  • The Fields Institute for Mathematical Sciences (Toronto), June 16-26, 2014, participated in the Thematic Program on Abstract Harmonic Analysis, Banach and Operator Algebras.
  • University of Glasgow, May 5-9, 2014, to visit Dr Joan Bosa and Prof Joachim Zacharias. Seminar talk: A new look at the category Cu.
  • Münster Universität, July 2-6, 2012, to visit Prof. Wilhelm Winter. Seminar talk: Strong products, almost unperforation, and almost divisibility.
  • Center for Operator Algebras (Shanghai), April 23-26, 2012, to visit Prof. Huaxin Lin. Seminar talk: Semigroups in Cu with a strong product.
  • Purdue University, February 23-March 3, 2011, to visit Prof. Marius Dadarlat and Andrew S. Toms. Colloquium talk: The Cuntz semigroup.
  • Wabash Extramural Modern Analysis Seminar, Feb 26, 2011. Seminar talk: The Cuntz semigroup of pullbacks of C(X)-algebras.
  • University of Copenhagen, March 23-27, 2009, to visit Dr Eduard Ortega and Prof Mikael Rørdam. Seminar talk: The corona factorization property and refinement monoids.
  • The Fields Institute for Mathematical Sciences (Toronto), October 22 to November 30, 2007, participated in the Thematic Program in Operator Algebras. Seminar talk: Purely infinite corona algebras.
  • University of New Brunswick (Fredericton), June 5-9, 2006, to visit Prof Andrew S. Toms. Mini-course (June 5-6): K-Theory and C*-algebras.
  • University of Maribor, March 13-24 2006, to visit Prof Matej Brešar. Seminar talk: Recasting the Elliott Conjecture.
  • Universidad de Málaga, December 12-16, 2005, to visit Prof Mercedes Siles Molina. Seminar talk: Una conjetura débil en la clasificación de C*-álgebras.
  • Universidad de Almería, October 2004, Meeting of the Non-commutative Algebra Spanish Network. Seminar talk: Anillos, grupos de Riesz y álgebras de operadores.
  • Universidad de Málaga, September 2004, to visit Prof Mercedes Siles Molina. Seminar talk: Divisibilidad débil en C*-álgebras.
  • Universidad de Granada, December 2003. Seminar talk: AF-embeddings en C*-álgebras con rango real cero.
  • Universidad de Málaga, December 9-12, 2003, to deliver the advanced course: Una introducción a la teoría de C*-álgebras.
  • University of Glasgow, May 2003. Seminar talk: Multiplier algebras have algebraic relatives.
  • Trinity College Dublin, April 2003. Mathematical Colloquium talk: Gromov’s translation algebras.
  • University of Copenhagen, April 2003, one month visit to Prof Gert K. Pedersen. Colloquim talk: The exchange property for translation algebras.
  • University College Cork, December 2002. Mathematical Colloquium: Non-stable K-Theory for two classes of rings.
  • Mathematical Institute Oxford, December 2002. Seminar talk: Algebraic relatives of operator algebras of low dimension and their non-stable K-Theory.
  • University of Washington, July 2002, to visit Prof Ken R. Goodearl. Seminar talk: Non-stable K-theory for two classes of rings.
  • Queen’s University Belfast, March 2002. Seminar talk: Stable finiteness of group rings in arbitrary characteristic.
  • Queen’s University Belfast, November 2001. Seminar talk: Extensions and pullbacks in QB-rings.
  • Queen’s University Belfast, March 2001. Seminar talk: A closure operation in rings.
  • Queen’s University Belfast, Lecturer at the Pure Mathematics Department, 2001-03.
  • University of Copenhagen, September 1999. Seminar talk: An infinite analogue of rings with stable rank one.
  • University of Copenhagen and University of Southern Denmark. Seminar talks: Lifting units modulo exchange ideals and C*-algebras with real rank zero.
  • University of Copenhaguen, May 1999. Seminar talk: Extremal richness of corona algebras of simple C*-algebras with real rank zero.
  • University of Copenhagen, February-September 1999, Postdoctoral Researcher with Prof. Gert K. Pedersen.
  • University of California at Santa Barbara, October 1994, and October to December 1995, Graduate student, visiting Prof. Ken R. Goodearl. Seminar talks: Cuntz’s relations on positive elements in C*-algebras (1994); Some comparability relations for C*-algebras (1995).

Other attended events

  • NCGOA, Münster Universität, May 14-18, 2018.
  • C*-algebras, Dynamics, and Classification, MFO (Oberwolfach), October 28 to November 23, 2012.
  • ICM, Madrid, August 22-30, 2006 .
  • 3rd European Congress of Mathematics, Barcelona, July 2000.
  • Operator algebras and non-commutative geometry, CNRS Cargèse (Corsica), July 4-10, 1999.
  • Ring Theory Conference, Miskolc, June 15-20, 1996.
  • Some Trends in Algebra 95, Praha, September 4-8, 1995.
  • Abelian Groups and Modules, Padova, June 27 to July 1st, 1994.