Andrés Rojas

Adress:
Departament de Matemàtiques i Informàtica
Universitat de Barcelona
Gran Via de les Corts Catalanes 585
08007 Barcelona
Office P1 23

E-mail: andresrojas (add @ub.edu)


I am a Beatriu de Pinós postdoctoral fellow at Universitat de Barcelona, where I am also a member of the project BIGGAMES.

Previously, I was a postdoc at Universität Bonn (one year) and Humboldt-Universität zu Berlin (two years and a half). I obtained my PhD in November 2021 from Universitat de Barcelona under the supervision of Martí Lahoz and Juan Carlos Naranjo.

My field of research is Algebraic Geometry, with a special focus on abelian varieties, algebraic curves, K3 surfaces and Bridgeland stability.

Publications and preprints

(with Á. Ríos and J. Song) Projective models for Hilbert squares of K3 surfaces. Preprint.

(with G. Farkas and S. Feyzbakhsh) Hurwitz-Brill-Noether theory via K3 surfaces and stability conditions. Preprint.

(with M. Lahoz, J.C. Naranjo, and I. Spelta) Monodromy of the Prym map and semicanonical pencils in genus 6. Preprint, to appear in Ann. Sc. Norm. Super. Pisa.

(with F. Moretti) On the degree of irrationality of low genus K3 surfaces. J. Inst. Math. Jussieu 24 (2025), 627-662.

(with M. Lahoz and J.C. Naranjo) Geometry of Prym semicanonical pencils and an application to cubic threefolds. Math. Nachr. 296 (2023), 2918-2941.

(with C. Maestro) The divisors of Prym semicanonical pencils. Int. Math. Res. Not. IMRN 2023, no. 09 (2023), 7333-7354.

(with M. Lahoz) Chern degree functions. Commun. Contemp. Math. 25 (2023).

The basepoint-freeness threshold of a very general abelian surface. Selecta Math. (N.S.) 28 (2022), Paper No. 34.

Waring's theorem revisited. Rocky Mountain J. Math. 49 (2019), 979-1003.