Research Center - Geometry at the Frontier

 

TEAM | Rubí E. Rodríguez


Rubí E. Rodríguez

Director, Research Center Geometry at the Frontier
Editor-in-Chief of CUBO, A Mathematical Journal
Director, Doctoral Program in Mathematics UFRO
Full Professor, Department of Mathematics and Statistics,
Universidad de La Frontera

Education and Degrees
Ph.D in Mathematics, Columbia University, New York, United States (1981) 
M. A., Columbia University, New York, United States (1977)
Magister en Matemáticas, Universidad Técnica del Estado, Chile (1975)

 
Curriculum Vitae
 rubi.rodriguez@ufrontera.cl
 +56 45 259 65 04
     

Research topics
Complex geometry

Selected Publications

On the connectedness of the singular locus of the moduli space of principally polarized abelian varieties
Reyes-Carocca, Sebastian; Rodriguez, Rubi E.
Moscow Mathematical Journal. 2018, 18 (3), pp. 473-489, DOI: 10.17323/1609-4514-2018-18-3-473-489

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

Jacobians and representations of S3
Recillas, Sevín; Rodríguez, Rubí E.
Workshop on Abelian Varieties and Theta Functions. (Morelia, 1996), pp. 117-140, Aportaciones Mat. Investig., 13, Soc. Mat. Mexicana, México, 1998.

The period matrix of Bring's curve
Riera, Gonzalo; Rodríguez, Rubí E.
Pacific Journal of Mathematics. 1992, 154 (1), pp. 179-200, https://projecteuclid.org/euclid.pjm/1102635736


Current Doctoral Supervision

2020 - Benjamín Baeza - Ph.D. in Sciences, mention Mathematics | Universidad de La Frontera, Temuco, Chile.
Title: Galois covers for degree five.

2017 - Eduardo Uribe - Ph.D. in Sciences, mention Mathematics | Universidad de La Frontera, Temuco, Chile.
Title: Complex Structure of the Teichmüller Spaces.


Descendants

2015 - Sebastián Torres - Master in Mathematics | Pontificia Universidad Católica de Chile, Santiago, Chile.
Title: Complex Abelian Varieties.

2014 - Robert Auffarth - Ph.D. in Mathematics | Pontificia Universidad Católica de Chile, Santiago, Chile.
Title: Non-simple principally polarized abelian varieties.


Research Grants

Prym-Tyurin Varieties II (2020 - 2021) – Principal Investigator.
The geometry of abelian varieties with group action (2019 - 2023) – Principal Investigator.
Geometry of K3 surfaces (2020 - 2022) – Co-investigator.
Joint USA-CHILE Geometry at the Frontier (2020 - 2022) – Co-investigator.
South-North Latin American network through Geometry (2020 - 2022) – Co-investigator.