| TEAM | Ángel Carocca |
Ángel Carocca
 |
Education and Degrees
|
Research topics
|
| 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; Rodriguez, 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. |
Follow us: