TEAM | Sebastián Reyes Carocca

Sebastián Reyes Carocca

Assistant Professor, Department of Mathematics and Statistics,
University of La Frontera

Education and Degrees
Ph.D in Mathematics, Autonomous University of Madrid, Madrid, Spain (2015)
Master in Mathematics and Applications, Autonomous University of Madrid, Madrid, Spain (2013)
Master of Science in Mathematics, Federico Santa María Technical University, Valparaíso, Chile (2010)
Bachelor of Science in Mathematics, Federico Santa María Technical University, Valparaíso, Chile (2009)

  Curriculum Vitae
 +56 45 259 67 42

Research topics

Riemann Surfaces
Abelian Varieties
Group actions
Jacobian varieties

I got my PhD degree at Universidad Autónoma de Madrid in 2015. In my doctoral thesis I studied holomorphic families of Riemann surfaces and the relationship between their universal covers and their fields of definition. After that, I was granted with a postdoc position at Universidad de La Frontera. Currently, I am a professor at Universidad de La Frontera and my research interests are mainly group action on compact Riemann surfaces, uniformisation, algebraic curves, abelian varieties and related topics.

Selected Publications

On Riemann surfaces of genus g with 4g−4 automorphisms
Reyes-Carocca, Sebastián
Israel Journal of Mathematics. 2020, 237 (1), pp. 415–436, DOI: 10.1007/s11856-020-2010-3

A note on large automorphism groups of compact Riemann surfaces
Reyes-Carocca, Sebastián; Izquierdo, Milagros
Journal of Algebra. 2020, 547, pp. 1-21, DOI: 10.1016/j.jalgebra.2019.11.012

On Jacobians with group action and coverings
Reyes-Carocca, Sebastián; Rodriguez, Rubí E.
Mathematische Zeitschrift. 2020, 294 (1-2), pp. 209–227, DOI: 10.1007/s00209-019-02263-3

A generalisation of Kani-Rosen decomposition theorem for jacobian varieties
Reyes-Carocca, Sebastián; Rodriguez, Rubí E.
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 2019, 19 (2), pp. 705-722, DOI: 10.2422/2036-2145.201706_003

Families of Riemann surfaces, uniformization and arithmeticity
Reyes-Carocca, Sebastián; González-Diez, Gabino
Trans. Amer. Math. Soc. 2018, 370 (3), pp. 1529-1549, DOI: 10.1090/tran/6988

Research Grants

Group actions on Riemann surfaces and abelian varieties (Fondecyt, 2022 - 2026) – Principal Investigator
Joint USA-CHILE Geometry at the Frontier 
(ANID, 2020 - 2022) – Co-investigator
South-North Latin American network through Geometry (ANID, 2020 - 2022) – Co-investigator
The Geometry of Riemann Surfaces and Abelian Varieties (Fondecyt, 2018 - 2021) – 
Principal Investigator
Superficies de Riemann y variedades abelianas con automorfismos (REDES-CONICYT, 2017-2020) – 
Principal Investigator
The geometry of abelian varieties with group action (Fondecyt, 2019 - 2023) – Co-investigator