Jordi Delgado
I am a math researcher (M. Zambrano fellow) in the Department of Mathematics at the Universitat Politècnica de Catalunya, a member of the GAPCOMB and GrupsBCN research groups, and an organizer of the Barcelona Weekend in Group Theory.
Previously I have worked at the UPC, the Centre de Recerca Matemàtica (CRM), the Centro de Matemática of the University of Porto, and the University of the Basque Country. I obtained a PhD in mathematics at the Universitat Politècnica de Catalunya under the supervision of Prof. Enric Ventura.
MY LATEST RESEARCH
We consider a natural generalization of the concept of order of an element in a group: an element g in a group G is said to have order k in a subgroup H of G if k is the first strictly positive integer such that g^k belongs to H. We study this notion and its algorithmic properties in the realm of free groups and some related families.
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Relative order and spectrum in free and related groups
Intersection configurations in free and free times free-abelian groups
In this paper we delve into the behavior of multiple intersections of subgroups of free and free times free-abelian (FTA) groups with respect to finite generability. We show that a multiple version of Howson property still holds in $\Fn$, and that, in fact, this is the only obstruction for multiple intersection configurations within $\Fn$. Then, we study multiple intersections within FTFA groups...
