I'm a student of doctorate in mathematics at University of Chili, under the supervision of Giancarlo Lucchini Arteche and Cristián González Avilés.
My thesis is related to Algebraic Geometry and Number Theory. In particular, I'm working in a generalization of the Lichtenbaum-van Hamel duality for singular varieties over p-adic fields. Recently, I have started to study the theory of Chow motives and problems related to motivic decomposition of certain projective varieties. I am also interested in the theory of Voevodsky motives and I would like to know if this theory has relation with van Hamel homology groups.
In general, Homological Algebra and Category Theory are things in which I'm very interested.