My field of research is arithmetic and algebraic geometry. I am also interested in non-archimedean and tropical geometry. More specifically, I am interested in developing an arithmetic intersection theory on toroidal compactifications of (mixed) Shimura varieties using convex geometrical techniques.
On the singularities of the invariant metric of automorphic line bundles over toroidal compactifications of universal abelian schemes and fibred product of those (2018), in preparation.
Intersection theory of toroidal b-divisors in toroidal varieties, (2018), joint with J.I. Burgos Gil, in preparation.
Others
The slides of a talk given in the Workshop: Asymptotic invariants attached to linear series, held in the
Pedagogical University in Cracow: Toric b-divisors.
The slides of a talk given in the 5th Encuentro Colombiano de Combinatoria, CIMPA Research School: Algebraic, Enumerative and Geometric Combinatorics - ECCO 2016, held in the
Universidad Nacional sede Medellin: Singular metrics, convex bodies and multiple zeta values.
Any comments, questions or remarks are more than welcome.