Phone
E-mail para@mat.uab.cat
Position Full Professor at UAB
Research interests Algebraic Geometry
Area Algebra, Geometry and Topology
Ara, Pere
Biosketch

I have developed my scientific career at the Department of Mathematics of the Universitat Autònoma de Barcelona. I have enjoyed several research stays, including a 3-months stay at the Pure Mathematics Research Centre of Queen’s University Belfast (2008), and a 3-months stay at the Department of Mathematics of the University of California at Santa Barbara (2009). I have worked on several problems in the theory of non-commutative rings and in operator algebras. I have written a research book (jointly with Martin Mathieu), and more than 80 research papers.

Projects

Estructura y clasificación de anillos, módulos y c*-algebras: interacciones con dinámica, combinatoria y topología
Ara Bertran, P., Bosa Puigredon, J., Cantier, L. N., Claramunt Carós, J., Dicks Mclay, W., Jespers, E. F., Okninski, J., Sánchez Serdà, J., Antoine Riolobos, R., Cedo Gine, F., Herbera Espinal, M. D., Pardo Espino, E. & Perera Domenech, F. Ministerio de Economia y Competitividad (MINECO)

Selected publications
  • Ara, R. Exel, Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions, Advances in Mathematics 252 (2014), 748-804.
  • Ara, K. R. Goodearl, Leavitt path algebras of separated graphs, Journal für die reine und angewandte Mathematik, 669 (2012), 165-224.
  • Ara, K. R. Goodearl, C*-algebras of separated graphs, Journal of Functional Analysis, 261 (2011), 2540-2568.
  • Ara and M. Mathieu, A not so simple local multiplier algebra, Journal of Functional Analysis, 237 (2006), 721-737.
  • Ara, K. C. O’Meara and F. Perera, Stable finiteness of group rings in arbitrary characteristic, Advances in Mathematics, 170 (2002), 224-238 (about 4-8 lines).