Supervision

Current PhD Students

I am currently supervising one PhD student:

  • Guillem Quingles, co-supervised with Prof Pere Ara. Start date: December 2022.

Past PhD Students

  • Eduard Vilalta. PhD Thesis: The range problem and dimension theory for the Cuntz semigroup, Universitat Autònoma de Barcelona. Date of defense: June 21, 2022.
  • Laurent Cantier, co-supervised with Dr Ramon Antoine. PhD Thesis: A new invariant for C*-algebras, Universitat Autònoma de Barcelona. Date of defense: Oct 2, 2020.
  • Joan Bosa. PhD Thesis: Continuous fields of C*-algebras, their Cuntz semigroups, and the structure of dimension functions, Universitat Autònoma de Barcelona. Date of defense: Sept 23, 2013.

Postdoctoral researchers

Master students

  • Eduard Vilalta. Master Thesis: An overview of uniform Roe algebras: Asymtpotic dimension and Real Rank, Universitat Politècnica de Catalunya, July 2019.
  • Xavier Baños. Master Thesis: Noncommutative dimension in C*-algebras, Universitat Politècnica de Catalunya, July 2017.
  • Joan Bosa. Master Thesis: Complecions de semigrups: aplicacions al semigrup de Cuntz, Universitat Autònoma de Barcelona, September 2009.

Bachelor Students

  • Marc García Parra. Monoides commutatius i condicions de refinament. July 2023.
  • David Muñoz Lahoz. The classification of finitely generated modules over a PID. July 2022.
  • Joan Campañà Poch. Anells noetherians i anells de polinomis. July 2022.
  • Rafael Galán Moriña. Una introducció a la teoria K. July 2022.
  • Miquel Agulló López. La condició de rang estable 1 en anells. September 2020.
  • David Fisac Cámara. On C*-algebras and K-Theory: a complete introduction to the Cuntz semigroup. July 2019.
  • Francisco Sánchez Jorge. Equivalències de Morita. July 2019.
  • Javier Armeijach Guijosa. Funcionals: el seu paper en semigrups i anells. September 2018.
  • Eduard Vilalta Vila. Teoria K per C*-àlgebres: La successió exacta de sis termes. July 2018.
  • Juan Enrique García Morales. Anells de fraccions. September 2017.
  • Xavier López Español. K-Teoria algebraica. September 2017.
  • Manel Rodríguez Soto. C*-álgebras complejas. July 2017.
  • Abel Rodríguez Bernat. Grups abelians parcialment ordenats i classificació d’àlgebres ultramatricials. July 2017.
  • Xavier Baños Boschmonart. Anells de funcions contínues i topologia no commutativa. July 2016.