Our group is active in three main lines of research: strongly correlated electron systems, topological phases of matter, and Dirac materials. The two main questions in strongly correlated electron systems are how to arise emergent states due to interactions and how can be characterized. The third line is devoted to the study of phases of matter that are characterized by non-trivial topological invariants. We are mainly focused on electronic phases of matter but studies on bosonic systems are on the way. Finally, the line of Dirac materials started with the works done in graphene and fullerenes in 1993, and continue up to today with research of the topological semimetals synthesized in 2015. Recently, one of the members (Belén Valenzuela) has been attracted to the field of cognitive systems where the understanding of the emergence of cognitive states is nurtured by the knowledge and tools of condensed matter systems.