TEAM | Ángel Carocca


Ángel Carocca


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

Education and Degrees
Ph.D in Mathematics, University of Brasília, Brasília, Brazil (1992)
Bachelor in Mathematics, Pontifical Catholic University of Valparaíso, Valparaíso, Chile (1987)

 
Curriculum Vitae
 angel.carocca@ufrontera.cl
 +56 45 232 53 44
     

Research topics

Group Theory
Group Action on Riemann Surface
Abelian Varieties



Biography

I got my Ph. Degree at the University of Brasilia in 1992. Currently, I am  full professor at the University of La Frontera. My research interests are mainly Group Theory, Group Action on Riemann Surfaces and Abelian Varieties, and on related geometric objects.



Selected Publications

Equations for abelian subvarieties
Carocca, Angel; Lange, Herbert; Rodríguez, Rubí E.
Journal of Algebra. 2021, 565, pp. 82-97, DOI: 10.1016/j.jalgebra.2020.07.030

On Galois Group of Factorized covers of curves
Romero, Martha; Carocca, Angel
Revista Matemática Iberoamericana. 2018, 34 (4), pp. 1853-1866, DOI: 10.4171/rmi/1046

Hecke algebras acting on abelian varieties
Carocca, Angel; Rodrig
uez, Rubí E.
Journal of Pure and Applied Algebra. 2018, 222 (9), pp. 2626-2647, DOI: 10.1016/j.jpaa.2017.10.011 


Jacobians with complex multiplication
Carocca, Angel; Lange, Herbert; Rodríguez, Rubí E.
Trans. Amer. Math. Soc. 2011, 363 (12), pp. 6159-6175.

Prym-Tyurin varieties via Hecke algebras
Carocca, Angel; Lange, Herbert; Rodríguez, Rubí E.; Rojas, Anita M.
J. Reine Angew. Math. 2009, 634, pp. 209-234, DOI: 10.1515/CRELLE.2009.073

Jacobians with group actions and rational idempotents
Carocca, Angel; Rodríguez, Rubí E.
Journal of Algebra. 2006, 306 (2), pp. 322-343, DOI: 10.1016/j.jalgebra.2006.07.027


Current Doctoral Supervision

2019 - Vicente Chicaiza - PhD in Sciences, mention in Mathematics | University of La Frontera, Temuco, Chile.
Title: Automorfismos y Endomorfismos de variedades Abelianas



Descendants

2017 - Jaime Pinto - PhD in Sciences, mention in Mathematics | University of Chile, Santiago, Chile.
Title: Curvas de tipo Fermat

2013 - Martha Romero - 
PhD in Mathematics | Pontifical Catholic University of Chile, Santiago, Chile.
Title: Grupo de monodromía de cubrimientos factorizados de superficies de Riemann

2013 - Daniela Vásquez - PhD in Sciences, mention in Mathematics | University of Chile, Santiago, Chile.
Title: Acciones de grupos sobre el espacio de Riemann-Roch



Research Grants

On group representations and their actions on surfaces and varieties (Fondecyt, 2020 - 2024) – Principal Investigator.
Algebraic and geometric aspects of varieties and manifolds (MATH AmSud – ANID, 2021 - 2023) – Principal Investigator.
Geometry of K3 surfaces (ECOS-ANID, 2020 - 2023) – Principal Investigator.
Joint USA-CHILE Geometry at the Frontier 
(ANID, 2020 - 2022) – Co-investigator.
South-North Latin American network through Geometry (ANID, 2020 - 2022) – Principal Investigator.