Algebraic Geometry: Algebraic surfaces, Calabi-Yau varieties, Cox rings, Fields of moduli of curves

Advisor of the PhD thesis "Fields of moduli and fields of definition of algebraic projective varieties" by Saúl Quispe Mendoza,
defended in june 2013.

Advisor of the Master thesis "Pseudoreal Riemann surfaces of low genus" by Cristian Reyes Monsalve,
defended in october 2016.

Advisor of the PhD thesis "Cox rings of K3 surfaces of Picard number three and four" by Claudia Correa Deisler,
in progress (to be defended in august 2020).

Advisor of the PhD thesis "About non-symplectic automorphisms of composite order of K3 surfaces", by María Elisa Valdés,
in progress (to be defended in august 2020).

Training of Master students and PhD students through courses in
Algebraic Geometry, Algebraic Topology, Differential Geometry, Galois theory,
and specialized seminars about:
Algebraic surfaces, Algebraic curves, Deformation theory, Geodesics,
Riemann surfaces, Sheaf cohomology, Toric varieties.