Man

Ruben Antonio Hidalgo Ortega

Professor

Universidad de La Frontera

Temuco, Chile

Líneas de Investigación


Riemann surfaces; Kleinian groups; dessins d'enfants; field of moduli and field of definition; complex dynamics.

Educación

  •  Ph.D in Mathematics, SUNY at Stony Brook. Estados Unidos, 1991
  •  Licenciatura en Ciencias mención Matematica, Universidad de Santiago de Chile. Chile, 1986
  •  Magister en Ciencias mencion Matematica, Universidad Tecnica Federico Santa Maria. Chile, 1987
  •  Habilitation, Universitaet Bielefeld. Alemania, 1994

Experiencia Académica

  •   Scientific Collaborator Scientific Collaborator

    Universitaet Bielefeld

    Bielefeld, Alemania

    1991 - 1993

  •   Professor Full Time

    UNIVERSIDAD DE LA FRONTERA

    Ingenieria y Ciencias

    Temuco, Chile

    2015 - At present

  •   Professor Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Valparaiso, Chile

    1993 - 2015

Experiencia Profesional

  •   Comite Matematica FONDECYT

    FONDECYT

    Santiago, Chile

    2006 - 2008

Formación de Capital Humano


1. “Cubrimientos Abelianos Maximales”,
Magister en Ciencias Mencion Matematica, 2004;
(Maximiliano Leyton)

2. “Volume of three dimensional spherical polyhedra”,
Magister en Ciencias Mencion Matematica, 2007;
(Mauricio Godoy)

3. “Cuerpos de moduli para curvas de Fermat generalizadas.”,
Magister en Ciencias Mencion Matematica, 2010;
(Sebastian Reyes)

4. “Field of Moduli of certain generalized Fermat curves”,
Magister en Ciencias Mencion Matematica, 2011;
(Maria Elisa Valdes)

5. “Field of moduli of generalized Fermat curves with an application to non-hyperelliptic dessins d’enfants”,
Magister en Ciencias mencion Matematica, 2014;
(Pilar Johnson)

6.- “Familias de superficies de Riemann, uniformizacion y aritmeticidad” (co-tutor),
Doctorado en Matematicas (UNAM, Madrid) 2016;
(Sebastian Reyes Carocca)

7.- “Superficies de Riemann y sus dessins d’enfants”,
Doctorado en Ciencias mencion Matematica (U. de Chile) 2017;
(Angelica Vega Moreno)

8.- “Real structures on marked Schottky spaces”,
Doctorado en Matematica (UTFSM-PUCV-UV) 2017;
(Sebastian Sarmiento)

9.- “A Remark on Z-Orientability of Kleinian Groups”
Doctorado en Ciencias mencio?n Matematica (UFRO) 2019;
(Juan Carlos Garcia)

10. “On the connectivity of the branch and real locus of M0,[n+1]”
Doctorado en Ciencias mencio?n Matematica (UFRO) 2019;
(Yasmina Atarihuana)



 

Article (121)

Geometric description of virtual Schottky groups
Regular dessins d'enfants with dicyclic group of automorphisms
Zapponi-orientable dessins d’enfants
A remark on the field of moduli of Riemann surfaces
An explicit descent of real algebraic varieties
Automorphism groups of dessins d'enfants
On Square Roots of Meromorphic Maps
On the connectivity of the branch and real locus of M-0,[n+1]
On the dynamics of n-circle inversion
Weierstrass weight of the hyperosculating points of generalized Fermat curves
A NOTE ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF RATIONAL MAPS
About the Fricke-Macbeath curve
On the field of moduli of superelliptic curves
On the minimal field of definition of rational maps: rational maps of odd signature
p-Groups acting on Riemann surfaces
Rational points in the moduli space of genus two
Real structures on marked Schottky space
Riemann surfaces defined over the reals
Uniformizations of stable $$(\gamma ,n)$$(γ,n)-gonal Riemann surfaces
A NOTE ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF RATIONAL MAPS
A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI
Automorphisms of generalized Fermat curves
On purely non-free finite actions of abelian groups on compact surfaces
On the connectedness of the set of Riemann surfaces with real moduli
Quasiplatonic curves with symmetry group Z(2)(2) x Z(m) are definable over Q
Quasiplatonic curves with symmetry group Z22⋊Zm are definable over Q
Regular dessins d'enfants with field of moduli Q ((p)root 2)
Regular dessins d'enfants with field of moduli Q ((p)root 2)
Totally Degenerate Extended Kleinian Groups
AUTOMORPHISMS OF NON-CYCLIC p-GONAL RIEMANN SURFACES
Fields of moduli of some special curves
JACOBIAN VARIETY OF GENERALIZED FERMAT CURVES
On periodic self-homeomorphisms of closed orientable surfaces determined by their orders
A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree
Edmonds maps on the Fricke-Macbeath curve
Edmonds maps on the Fricke-Macbeath curve
Edmonds maps on the Fricke-Macbeath curve
Field of moduli of generalized Fermat curves of type (k, 3) with an application to non-hyperelliptic dessins d'enfants
A simple remark on the field of moduli of rational maps
A SIMPLE REMARK ON THE FIELD OF MODULI OF RATIONAL MAPS
Computing the Field of Moduli of the KFT family
ON THE CONNECTIVITY OF THE BRANCH LOCUS OF THE SCHOTTKY SPACE
Almost Abelian regular dessins d'enfants
Automorphisms group of generalized Fermat curves of type (k, 3)
Field of moduli and generalized Fermat curves
Lowest uniformizations of compact Klein surfaces
ORBIFOLDS WITH SIGNATURE (0; k, kn-1, kn, kn)
SCHOTTKY UNIFORMIZATIONS OF SYMMETRIES
The bipartite graphs of abelian dessins d'enfants
A remark on (p, n)-gonal quasiplatonic Riemann surfaces
A simple remark on fields of definition
Erratum: Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals
FIELDS OF MODULI OF CLASSICAL HUMBERT CURVES
HOMOLOGY CLOSED RIEMANN SURFACES
ON CONJUGACY OF p-GONAL AUTOMORPHISMS
On conjugacy of p-gonal automorphisms
CONJUGACY CLASSES OF AUTOMORPHISMS p-GROUPS
Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations
Numerical Schottky Uniformizations: Myrberg's Opening Process
On the inverse uniformization problem: real Schottky uniformizations
ON UNBRANCHED NON-NORMAL DEGREE FOUR COVERINGS OF HYPERELLIPTIC RIEMANN SURFACES
The fiber product of Riemann surfaces: a Kleinian group point of view
Uniformization of conformal involutions on stable Riemann surfaces
Navier-Stokes Equations on Weighted Graphs
A Short Note On M-Symmetric Hyperelliptic Riemann Surfaces
Double Schottky Covers
Fixed points of imaginary reflections on hyperbolic handlebodies
Geometric orbifolds with torsion free derived subgroup
Lowest uniformizations of closed Riemann orbifolds
Maximal Schottky extension groups
Maximal virtual Schottky groups: Explicit constructions
Navier-Stokes Equations on Weighted Graphs
Schottky double covers
Structure of Whittaker groups and applications to conformal involutions on handlebodies
Generalized Fermat curves
Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals
EXISTENCE OF SOLUTIONS OF SEMILINEAR SYSTEMS IN c 2
Generalized humbert curves
ON THE RETROSECTION THEOREM
Zeros of semilinear systems with applications to nonlinear partial difference equations on graphs
Finite dimensional grading of the Virasoro algebra
On q-n-gonal Klein surfaces
On uniqueness of automorphisms groups of Riemann surfaces
USFINITE DIMENSIONAL GRADING OF THE VIRASORO ALGEBRA
Automorphisms of non-cyclic p-gonal Riemann surfaces
Noded Teichmuller spaces
On neoclassical Schottky groups
Automorphism groups of Schottky type
Numerical Schottky uniformizations
On Klein-Schottky groups
REAL SCHOTTKY PARAMETRIZATION
Schottky uniformizations of genus 3 and 4 reflecting S-4
TORSION FREE COMMUTATOR SUBGROUPS OF GENERALIZED COXETER GROUPS
Cyclic extensions of Schottky uniformizations
Maximal real Schottky groups
Real Schottky uniformizations and Jacobians of May surfaces
Schottky uniformizations of genus 6 Riemann surfaces admitting A(5) as group of automorphisms
A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI´S THEOREM
A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORRELLIS THEOREM
A4, A5, S4 AND S5 OF SCHOTTKY TYPE
HARMONIC MODULI OF FAMILIES OF CURVES ON TEICHMULLER SPACES
REAL SURFACES, RIEMANN MATRICES AND ALGEBRAIC CURVES
SOME SPECIAL KLEINIAN GROUPS AND THEIR ORBIFOLDS
Anticonformal automorphisms and Schottky coverings
BOUNDS FOR CONFORMAL AUTOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
GAMMA-HYPERELLIPTIC-SYMMETRIC SCHOTTKLY GROUPS
NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
SCHOTTKY UNIFORMIZATIONS AND RIEMANN MATRICES OF MAXIMAL SYMMETRIC RIEMANN SURFACES OF GENUS 5*
FIXED POINT PARAMETERS FOR MÖBIUS GROUPS
FIXED POINTS PARAMETERS FOR TEICHMÜLLER SPACE OF CLOSED RIEMANN SURFACES
A NOTE ON THE HOMOLOGY COVERING OF CLOSED KLEIN SURFACES
CYCLIC GROUPS OF AUTOMORPHISMS OF SCHOTTKY TYPE
DIHEDRAL GROUPS ARE OF SCHOTTKY TYPE
AN EXAMPLE OF DEGENERATION ON THE NODED SCHOTTKY SPACE
GAMMA-HYPERELLIPTIC RIEMANN SURFACES
NODED FUCHSIAN GROUPS I
ON A THEOREM OF ACCOLA
Some generalized Coxeter groups and their orbifolds
The noded Schottky space
ABELIAN AUTOMORPHISMS GROUPS OF SCHOTTKY TYPE
BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)

BookWhole (1)

Parabolic and elliptic partial difference equations: Towards a discrete solution of Navier-Stokes equation

ConferencePaper (4)

Conjugacy classes of symmetries of compact Kleinian 3-manifolds
Normal coverings of hyperelliptic real Riemann surfaces
A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one
LOWEST UNIFORMIZATIONS OF COMPACT REAL SURFACES

Errata (1)

Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals (vol 93, pg 219, 2009)

Proyecto (46)

Riemann surfaces, dessins d'enfants and origamis
Geometry at the Frontier
Riemann surfaces, fields of definition and field of moduli
RIEMANN SURFACES, FIELDS OF DEFINITION AND FIELD OF MODULI
FIELDS OF MODULI AND FIELDS OF DEFINITION OF PROJECTIVE ALGEBRAIC VARIETIES
Fields of moduli and fields of definition of projective algebraic varieties
Extended Kleinian groups
Extended Kleinian groups
EXTENDED KLEINIAN GROUPS
Fortalecimiento del area de Algebra y Geometria en el Proyecto de Doctorado en Matematicas regional (UTFSM- PUCV -UV)
Superficie de Klein, teorema de existencia de Riemann y cuerpos de definicion
SUPERFICIES DE KLEIN, TEOREMA DE EXISTENCIA DE RIEMANN Y CUERPOS DE DEFINICION
Superficies de Riemann y sus cuerpos de moduli
Schottky extension groups
SCHOTTKY EXTENSION GROUPS
Diseño de Programa de Doctorado Matematica
Handlebodies with symmetries and Galois action on curves
Schottky extension groups
SCHOTTKY EXTENSION GROUPS
Schottky extension groups
SCHOTTKY EXTENSION GROUPS
GRUPOS KLEINIANOS Y SUPERFICIES DE KLEIN
Grupos Kleinianos y Superficies de Klein
Estructuras reales del espacio de Schottky
GRUPOS KLEINIANOS Y SUPERFICIES DE KLEIN
Grupos Kleinianos y Superficies de Klein
EXTREMAL AND GEOMETRIC PROBLEMS FOR CONFORMAL AND QUASICONFORMAL MAPS ON MANIFOLDS AND APPLICATIONS TO FLUID DYNAMICS
Geometria Extremal and geometric problems for conformal and quasiconformal maps on manifolds and applications to fluid dynamics
Grupos Kleinianos y Superficies de Klein
Grupos Kleinianos y superficies de Klein
GRUPOS KLEINIANOS Y SUPERFICIES DE KLEIN
MODULES OF FAMILIES OF CURVES AND THE ANGULAR DERIVATIVES OF CONFORMAL MAPPINGS
Superficies de Riemann estables, grupos Kleinianos y jacobianas
Moduli of Families of curves and the angular derivatives of conformal mappings
Uniformization of Stable Riemann surfaces
Uniformization of Stable Riemann surfaces
UNIFORMIZATIONS OF STABLE RIEMANN SURFACES
UNIFORMIZATIONS OF STABLE RIEMANN SURFACES
Grupos anodados, superficies estables y variedades abelianas
Espacio de Schottky anodado
THE GEOMETRY OF CURVES AND ABELIAN VARIETIES
Espacio de Schottky anodado
La Geometria de Curvas y variedades abelianas Teoria y Aplicaciones
LA GEOMETRIA DE CURVAS Y VARIEDADES ABELIANAS=> TEORIA Y APLICACIONES.
Espacio de Schottky anodado
LA GEOMETRIA DE VARIEDADES ABELIANAS Y APLICACIONES
148
Ruben Hidalgo

Professor

Mathematica y Estadistica

Universidad de La Frontera

Temuco, Chile

7
Maximiliano Leyton

Associate Professor

UNIVERSIDAD DE TALCA

talca, Chile

7
Rubí Rodríguez

Professor

Mathematics and Statistics

Universidad de La Frontera

Temuco, Chile

7
Saúl Quispe

Profesor Asociado

Matemática y Estadística

UNIVERSIDAD DE LA FRONTERA

Temuco, Chile

4
Angel Carocca

FULL PROFESSOR (PROFESOR TITULAR)

MATEMATICA

UNIVERSIDAD DE LA FRONTERA

TEMUCO, Chile

2
Sebastián Reyes

Académico

Departamento de Matemática y Estadística

Universidad de La Frontera

Temuco, Chile

1
Victor González

Professor

Mathematics

Universidad Técnica Federico Santa Maria

Valparaíso, Chile

1
Mauricio Godoy

Profesor Asociado

Matemática y Estadística

Universidad de La Frontera

Temuco, Chile

1
Gerardo Honorato

Profesor Adjunto

Facultad de Ingeniería

Universidad de Valparaíso

Valparaiso, Chile