Andrés Rojas

Address:
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 an Assistant Professor (Professor Lector Serra Húnter) at Universitat de Barcelona.

Previously, I held postdoctoral positions at Universität Bonn (one year), Humboldt-Universität zu Berlin (two years and a half), and Universitat de Barcelona (ten months), where I also obtained my PhD in November 2021 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.

Some activities

This year I am one of the organizers of the Seminari de Geometria Algebraica de Barcelona.

RGAS Summer School: Mirror symmetry and homological methods in algebraic geometry, Zaragoza, 8-12 June 2026.

Abelian varieties and their moduli, Barcelona, 3-6 February 2026.

Birational geometry: from moduli to geography, Barcelona, 5-7 February 2025.