I am currently a PhD student in Mathematics at UNAM, campus Oaxaca.

My PhD advisor is César Lozano Huerta.

Research Interests

I am an algebraic geometer.

My research focuses on the interplay between the syzygies of projective algebraic varieties and various algebro-geometric aspects of them. I am interested in problems related to Noether-Lefschetz theory, interpolation of vector bundles, birational geometry of moduli spaces and Bridgeland stability.

Publications

• The Noether-Lefschetz locus of surfaces in P3 formed by determinantal surfaces (with César Lozano Huerta and Montserrat Vite) (DOI, arXiv)

in Matematische Nachrichten 297 no. 12 (2024), pp. 4671-4688.

Supplementary Macaulay2 code for this paper can be found here.

Preprints

• Minimal free resolutions of sheaves on the projective plane and the stable base locus decomposition of their moduli spaces (with César Lozano Huerta and Tim Ryan) (arXiv)

• Birational geometry of linear determinantal quartic 3-folds and rationality (with César Lozano Huerta and Montserrat Vite) (arXiv)

Collaborators

• César Lozano Huerta

• Tim Ryan

• Montserrat Vite