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I am an Associate Professor in the Department of Mathematics at the Universitat Autònoma de Barcelona. I am currently the Managing Editor of the journal Publicacions Matemàtiques.

My research interests are in Operator Algebras, Noncommutative Algebra, Semigroup Theory, and the interplay between these.

More specifically, I am interested in the structure of nuclear C*-algebras and their classification, with particular emphasis on the study of invariants such as K-Theory and the Cuntz semigroup. I am also interested in the connections of C*-algebras with Dynamical Systems and with more general algebraic structures, such as Steinberg algebras and Leavitt Path algebras.

I am a member of the Ring Theory Research Group at the Universitat Autònoma de Barcelona (collaborative research grant PID2020-113047GB-I00), the LIGAT (Laboratory of Interactions between Algebra, Geometry, and Topology, collaborative research grant 2021SGR01015), and the CRM (Centre de Recerca Matemàtica, María de Maeztu collaborative research grant CEX2020-001084-M).

I am a member of the American Mathematical Society and the Real Sociedad Matemática Española.

Blog

Seminar (Ring Theory)

Pace Nielsen (Bigham Young University) Connections between elementwise properties in rings Abstract: We illustrate some recent connections (and disconnections) discovered between some standard properties of rings, and their elements. Of particular importance is the discovery of “better” inner inverses for von Neumann regular elements. This has some surprising consequences in module theory, regarding direct sum …

Contact details

My office is C3b/154

Office hours: Monday, 3pm to 5 pm

Address

Departament de Matemàtiques
Facultat de Ciències
Universitat Autònoma de Barcelona
08193 Bellaterra (Cerdanyola del Vallès)
Barcelona
Spain
email: name dot surname at uab dot cat