Man

Rubí Rodríguez

Professor

Universidad de La Frontera

Temuco, Chile

Líneas de Investigación


Complex and Algebraic Geometry. Abelian Varieties, Riemann Surfaces, Group Actions.

Educación

  •  Mathematics, COLUMBIA UNIVERSITY. Estados Unidos, 1981
  •  M.Phil., COLUMBIA UNIVERSITY. Estados Unidos, 1981
  •  M. A., COLUMBIA UNIVERSITY. Estados Unidos, 1977
  •  Magister en Matemáticas, Universidad Técnica del Estado. Chile, 1975

Experiencia Académica

  •   Professor Full Time

    UNIVERSIDAD DE LA FRONTERA

    Ingeniería y Ciencias

    Temuco, Chile

    2014 - A la fecha

  •   Professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Mathematics

    Santiago, Chile

    1989 - 2014

  •   Professor Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Science

    Valparaíso, Chile

    1985 - 1989

  •   Associate Professsor Full Time

    UNIVERSIDAD DE SANTIAGO DE CHILE

    Santiago, Chile

    1975 - 1985

  •   Visiting Professor Full Time

    STONY BROOK UNIVERSITY

    Stony Brook, Estados Unidos

    2013 - 2013

Formación de Capital Humano


I have directed six PH. D. theses, at P. Universidad Católica de Chile and Universidad de Chile: Robert Auffarth, January 2014; Martha Romero 2013; Mariela Carvacho, 2010; Carolina Becerra, 2004; Anita Rojas, 2002; Gustavo Labbé, 1995.

I have also co-tutored four Ph. D. theses, in Chile, Spain and Mexico, and more than fifteen Master theses in Chile; several of these students continued PH. D. studies abroad; I have taught many graduate courses at P. Universidad Católica de Chile, Universidad de Chile, Universidad Técnica F. Santa María and Universidad de la Frontera.

We (the Chilean Complex Geometry Group) have a permanent weekly seminar, alternating at different Universities throughout the country, an annual meeting, and usually run Geometry sessions at the Chilean Mathematical Society meetings. In all these actiivities students are welcome and they do participate; we also share the training of postdocs and graduate students among ourselves and with our international collaborators.


Premios y Distinciones

  •   Presidential Chair on Science

    President of Chile

    Chile, 1997

    I received the Presidential Chair on Science (Catedra Presidencial en Ciencias) in 1997. It was awarded by the President of Chile, under the recommendation of an international panel. Funds were originally allocated for two years (1998-1999), after which we applied for another two years extension, which was granted.


 

Article (38)

On Jacobians with group action and coverings.
A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties
Abelian varieties with finite abelian group action
Etale double covers of cyclic p-gonal covers
On Jacobians with group action and coverings
Hecke algebras acting on Abelian varieties
On the connectedness of the singular locus of the moduli space of principally polarized abelian varieties
A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree
Abelian varieties and groups actions
Polarizations on abelian subvarieties of principally polarized abelian varieties with dihedral group actions
Polarizations on abelian subvarieties of principally polarized abelian varieties with dihedral group actions
Symmetric group actions on Jacobian varieties
Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces
Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces
Orbifolds with signature
Orbifolds with signature $(0;k,k^{n-1},k^n,k^n)$
ORBIFOLDS WITH SIGNATURE (0; k, kn-1, kn, kn)
Jacobians with complex multiplication
JACOBIANS WITH COMPLEX MULTIPLICATION
CHARACTERIZATION OF JACOBIANS OF CURVES WITH AUTOMORPHISMS
CHARACTERIZATIONS OF JACOBIANS OF CURVES WITH AUTOMORPHISMS
Characterizations of Jacobians of curves with automorphisms
Prym and Prym-Tyurin varieties: a group-theoretical construction.
Products of Jacobians as Prym-Tyurin varieties
Products of Jacobians as Prym-Tyurin varieties
Prym-Tyurin varieties using self-products of groups
Prym-Tyurin varieties using self-products of groups
PRYM-TYURIN VARIETIES VIA HECKE ALGEBRAS
Prym-Tyurin varieties via Hecke algebras
Generalized humbert curves
Generalized Humbert curves
Jacobians with group actions and rational idempotents
Prym varieties and fourfold covers. II. The dihedral case
Weyl groups and abelian varieties
REAL SCHOTTKY UNIFORMIZATIONS AND JACOBIANS OF MAY SURFACES
DIHEDRAL GROUPS ACTING ON JACOBIANS
Families of irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves
ON PRINCIPALLY POLARIZED ABELIAN VARIETIES AND RIEMANN SURFACES ASSOCIATED TO PRISMS AND PYRAMIDS

BookWhole (1)

Complex analysis. In the spirit of Lipman Bers

ConferencePaper (2)

Abelian varieties and group actions
Symmetric group actions on Jacobian varieties

ConferenceProceedingWhole (3)

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces.
In the tradition of Ahlfors-Bers VI.
The geometry of Riemann surfaces and abelian varieties.

Proyecto (28)

Geometry of K3 surfaces
Joint USA-Chile Research Geometry at the Frontier
Prym-Tyurin Varieties II
South-North Latin-American Network through Geometry
THE GEOMETRY OF ABELIAN VARIETIES WITH GROUP ACTION
Prym-Tyurin varieties
Geometry at the Frontier
La Geometría de Variedades Abelianas
A GALOIS THEORETICAL APPROACH TO ABELIAN VARIETIES AND ITS APPLICATIONS II
GROUP ACTIONS ON COMPLEX TORI
A GALOIS THEORETICAL APPROACH TO ABELIAN VARIETIES AND ITS APPLICATIONS
HURWITZ SPACES AND GROUP ACTIONS ON CURVES
THE GEOMETRY OF ABELIAN VARIETIES AND GROUP ACTIONS
THE GEOMETRY OF ABELIAN VARIETIES AND GROUP ACTIONS
AUTOMORPHISM GROUPS AND ENDOMORPHISM RINGS OF JACOBIANS
THE GEOMETRY OF ABELIAN VARIETIES AND GROUP ACTIONS
THE GEOMETRY OF ABELIAN VARIETIES AND GROUP ACTIONS
THE GEOMETRY OF GROUP ACTIONS=> RIEMANN SURFACES AND ABELIAN VARIETIES II
THE GEOMETRY OF GROUP ACTIONS=> RIEMANN SURFACES AND ABELIAN VARIETIES
THE GEOMETRY OF CURVES AND ABELIAN VARIETIES
THE GEOMETRY OF CURVES AND ABELIAN VARIETIES
LA GEOMETRIA DE CURVAS Y VARIEDADES ABELIANAS=> TEORIA Y APLICACIONES.
THE GEOMETRIC SIGNIFICANCE OF GROUPS OF AUTOMORPHISMS IN COMPLEX VARIETIES
LA GEOMETRIA DE VARIEDADES ABELIANAS Y APLICACIONES
LA GEOMETRIA DE SUPERFICIES DE RIEMAN CON SIMETRIAS.
VARIEDADES COMPLEJAS EN GEOMETRIA ALGEBRAICA
GEOMETRIA ALGEBRAICA Y VARIABLE COMPLEJA.
CURVAS ALGEBRAICAS COMPLEJAS Y GRUPOS DISCRETOS EN GENEROS DOS Y TRES.
45
Rubí Rodríguez

Professor

Mathematics and Statistics

Universidad de La Frontera

Temuco, Chile

20
Angel Carocca

FULL PROFESSOR (PROFESOR TITULAR)

MATEMATICA

UNIVERSIDAD DE LA FRONTERA

TEMUCO, Chile

11
Ruben Hidalgo

Professor

Mathematica y Estadistica

Universidad de La Frontera

Temuco, Chile

6
Anita Rojas

Profesor Titular

Matemáticas

Universidad de Chile

Santiago, Chile

3
Victor González

Professor

Mathematics

Universidad Técnica Federico Santa Maria

Valparaíso, Chile

1
Antonio Behn

DEPARTAMENTO DE MATEMÁTICAS, FACULTAD DE CIENCIAS, UNIVERSIDAD DE CHILE

Santiago, Chile

1
Sebastián Reyes

Académico

Departamento de Matemática y Estadística

Universidad de La Frontera

Temuco, Chile