Research topic
My main interest is the study of minimal, constant mean curvature and Weingarten surfaces, which appear naturally as solutions of geometric variational problems. This research topic is closely connected to other areas of Mathematics, mainly differential geometry, PDE theory and complex analysis.
I am currently doing my PhD under the supervision of Isabel Fernández and Pablo Mira.
Papers
- Free boundary CMC annuli in spherical and hyperbolic balls, with I. Fernández and P. Mira. Preprint, 2024.
- Annular solutions to the partitioning problem in a ball, with I. Fernández and P. Mira. Preprint, 2022.
Other
- Introduction to Simon-Smith min-max theory. Slides from a mini course given during a research stay at the Instituto de Matemática Pura e Aplicada, 2024.
- El problema de Hopf para superficies de Weingarten (Hopf's problem for Weingarten surfaces). Master Thesis, 2022 (Spanish).
- Aplicaciones Geométricas del Principio del Máximo para EDPs elípticas (Geometric applications of the Maximum Principle for elliptic PDEs). Undergraduate Thesis, 2021 (Spanish).