Joan Bosa PhD in Mathematics


PhD Thesis

  • Continuous Fields of C*-algebras, their Cuntz Semigroup and the Geometry of Dimension Functions, Universitat Autònoma de Barcelona, 26 September 2013. [pdf of Thesis] [Presentation] Supervisor: Francesc Perera (UAB).

Publications

    In press:

  • With M. Christensen "The failure of the Corona Factorization Property for the Villadsen algebra V_\infty ", Maths. Scan, to appear. [pdf]

  • With H. Petzka, "Comparison properties of the Cuntz semigroup and applications to C*-algebras", Canadian J. of Mathematics, to appear. [pdf]

  • With P. Ara, R. Hazrat and A. Sims, "Reconstruction of graded groupoids from graded Steinberg algebras", Forum Mathematicum, to appear. [pdf]

  • With G. Tornetta and J. Zacharias, "Open projections and suprema in the Cutnz semigroup", Mathematical Proceedings Cambridge Philosophical Society, to appear. [pdf]
  • With N. Brown, Y. Sato, A. Tikuisis, S. White, W. Winter, "Covering Dimension of C*-algebras and 2-coloured classification", Memoirs of the American Mathematical Society, to appear. [pdf]

    Published:

  • With Marius Dadarlat, "Local triviality for continuous field C*-algebras", International Mathematics Research Notices (IMRN) 4 (2015), pp 1044-1055. [pdf]
  • With Ramon Antoine, Francesc Perera and Henning Petzka, "Geometric structure of dimension functions on certain continuous fields", J. Funct. Anal., 266 (2014), no.4, pp. 2403-2423. [pdf]
  • With Ramon Antoine and Francesc Perera, "The Cuntz semigroup of Continuous Fields", Indiana Univ. Math. J. 62 (2013), no.4, pp. 1105-1131. [pdf]
  • With Ramon Antoine and Francesc Perera, "Completions of monoids with applications to the Cuntz Semigroup", in International Journal of Mathematics, 22 (6) (2011), pp. 837-861. [pdf]

Preprints

  • With G. Tornetta and J. Zacharias, "A Bivariant Theory for the Cuntz Semigroup". [pdf]

Research Stays

  • Institut Mittag-Leffler. Invited researcher during the Classification of Operator algebras: Complexity, Rigidity, and Dynamics Programme. February 2016
  • University of Muenster. Invited researcher during the Focus Programme on C*- Algebras. April-May 2015
  • Fields Institute of Toronto. Invited researcher during the Theme Period on C*-Algebras and Dynamical Systems. June 2014

Talks

Comunications

  • "Classification of C*-algebras. Comparison Properties of the Cuntz semigroup and applications to C*-algebras", presented at Special weeek on Operator Algebras, Research Center of Op. Algebras, East China Normal University, Shanghai, China. June 2016.
  • "Comparison properties on Cu-semigroups, with applications to C*-algebras", presented in "Workshop Classification and Dynamical systems I:C*-algebras", Mittag-Leffler Institute, Stockholm. February 2016.
  • "Covering Dimension and 2-coloured classification", presented in "Edinburgh Math. Soc.-Soc. Catalana de Mat. joint meeting", Barcelona. May 2015.
  • "Equivalent definitions of the Corona Factorization Property", presented in "Workshop on C*-algebras: Structure and Classification", University of Muenster. April 2015.
  • "Nuclear Dimension of Kirchberg Algebras", presented in "Conference of Classification, Structure, Amenability and Regularity (CSTAR)", University of Glasgow. September 2014.
  • "The Category Cu. Which maps are the correct ones? *-homomorphisms or cpc order zero maps?", presented in "Workshop on C*-algebras and Dynamical Systems" Fields Institute of Toronto. June 2014.
  • "The Category Cu. Which maps are the correct ones? *-homomorphisms or cpc order zero maps?", presented in "Scottish Operator Algebras Seminar", University of Glasgow. March 2014.
  • "Local triviality for Continuous Fields of C*-algebras", presented in "School and Workshop: Topics in Operator Algebras and Applications" ICMAT-International Ciencias Matemáticas. September 2013.
  • "Local triviality of Continuous Fields",presented in "The structure and classification of nuclear C*-algebras" ICMS-International Centre for Mathematical Sciences April 2013.
  • "Dimension functions on C(X,A)", presented in "Wabash Modern Analysis Mini-conference" Indiana University-Purdue University. September 2012.
  • "The Cuntz semigroup of Continuous Fields", presented in "Jornadas Españolas de Teoríax de Anillos" Universidad de Granada. June 2012.
  • "Dimension functions on C*-algebras", presented in "Master Class on the Nuclear Dimension of C*-algebras" University of Copenhaguen. November 2011.
  • "The Cuntz semigroup of certain C(X)-algebra",presented in "Conference on Structure and Classification of C*-algebras" CRM-Centre Recerca Matemàtica, Bellaterra. June 2011.
  • "The Cuntz semigroup of a C(X)-algebra",presented in "Great Plains Operator Theory Symposium 2011" University of Phoenix. May 2011.
  • "C*-algebras and their classification", presented in "Jornada de Joves Matemàtics de la Societat Catalana de Matemàtiques (SCM)" Barcelona. November 2010.
  • "Classification of Monoids. Applications to the Cuntz semigroup", presented in "Master Class on Classification of C*-algebras", University of Copenhaguen. November 2009.

Seminar Talks

  • "Comparison Properties of the Cuntz Semigroup and applications to C*-algebras", Algebra seminar, Universitat Autònoma de Barcelona, May 2016.
  • "Classification of C*-algebras and the Category Cu", Operator Algebra seminar, University of Wollongong, October 2015.
  • "Classification of maps by traces", Operator Algebra seminar, Newcastle University, February 2015.
  • "Classificationof maps by traces", Operator Algebra seminar, University of Muenster, March 2014.
  • "The Category Cu. Which maps are the correct ones? *-homomorphisms or cpc order zero maps?", Geometry-Analysis seminar, Queen Mary-University of London, March 2014.
  • "The Cuntz semigroup of some Continuous Fields, Operator algebra seminar, University of Glasgow, December 2013.
  • "The Cuntz semigroup and Dimension Functions on C(X,A), Operator algebra seminar, Purdue University, U.S.A., October 2012.
  • "The Cuntz semigroup of certain C(X)-algebras", Operator algebra talk, CRM-Centre de Recerca Matemàtica, Bellaterr, May 2011.
  • "Completions of monoids. Applications to the Cuntz Semigroup", Operator algebra talk,Department of Mathematical Sciences-University of Copenhaguen, February 2010.
  • "Complecions de Semigrups: Aplicacions al Semigrup de Cuntz (II)", Algebra seminar, Departament de Matemàtiques-Universitat Autònoma de Barcelona, October 2009.
  • "Complecions de Semigrups: Aplicacions al Semigrup de Cuntz (I)", Algebra seminar, Departament de Matemàtiques-Universitat Autònoma de Barcelona, October 2009.

Organized Scientific Events

  • Organizer of "Operator Algebra seminars", at University of Glasgow since Jan. 2014.
  • With S. White, W. Winter and J. Zacharias organized the Conference "Classification, Structure, Amenability and Regularity (CSTAR)", University of Glasgow, 1-5 Set. 2014.
  • With S. White, W. Winter and J. Zacharias organized the Master Class "Classification, Structure, Amenability and Regularity (CSTAR)", University of Glasgow, 21-29 May 2014.
  • With Ramon Antoine, Pere Ara and Francesc Perera organized the Workshop "Workshop on Dynamics and C*-algebras", in CRM-Centre Recerca Matemàtica, Bellaterra, 6-8 April , 2011.
  • With Ramon Antoine, Pere Ara and Francesc Perera, organized the Conference "Structure and Classification of C*-algebras", in CRM-Centre Recerca Matemàtica, Bellaterra, 6-10 June , 2011.
  • With Ramon Antoine, Pere Ara and Francesc Perera, organized the Advanced course"Structure and Classification of C*-algebras", in CRM-Centre Recerca Matemàtica, Bellaterra, 6-10 June , 2011.

Last Update: 9 June 2017