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Ruben Antonio Hidalgo Ortega

Professor

Universidad de La Frontera

Temuco, Chile

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

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

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

Comite Matematica FONDECYT

FONDECYT

Santiago, Chile

2006 - 2008

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)


A remark on the field of moduli of Riemann surfaces Hidalgo R.A. Article SCOPUS Archiv der Mathematik (2020)
Geometric description of virtual Schottky groups Article ISI SCOPUS Bulletin of the London Mathematical Society (2020)
Regular dessins d'enfants with dicyclic group of automorphisms Article ISI SCOPUS Journal of Pure and Applied Algebra (2020)
Zapponi-orientable dessins d’enfants Girondo, Ernesto Article SCOPUS Revista Matematica Iberoamericana (2020)
An explicit descent of real algebraic varieties Hidalgo R.A. Article ISI DYNAMICS AND NUMBERS (2019)
Automorphism groups of dessins d'enfants Hidalgo R.A. Article ISI SCOPUS ARCHIV DER MATHEMATIK (2019)
On Square Roots of Meromorphic Maps García, Juan C. Article ISI SCOPUS RESULTS IN MATHEMATICS (2019)
On the connectivity of the branch and real locus of M-0,[n+1] Atarihuana, Yasmina Article ISI SCOPUS REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS (2019)
On the dynamics of n-circle inversion Hidalgo, R. A; Honorato G. Article ISI SCOPUS NONLINEARITY (2019)
Weierstrass weight of the hyperosculating points of generalized Fermat curves Hidalgo R.A. Article ISI SCOPUS Journal of Pure and Applied Algebra (2019)
About the Fricke-Macbeath curve Hidalgo R.A. Article WOS-ESCI SCOPUS EUROPEAN JOURNAL OF MATHEMATICS (2018)
On the minimal field of definition of rational maps: rational maps of odd signature Article ISI SCOPUS Annales Academiae Scientiarum Fennicae Mathematica (2018)
p-Groups acting on Riemann surfaces Hidalgo R.A. Article ISI SCOPUS Journal of Pure and Applied Algebra (2018)
Real structures on marked Schottky space Hidalgo R.A. Article ISI SCOPUS JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2018)
Riemann surfaces defined over the reals Article ISI SCOPUS ARCHIV DER MATHEMATIK (2018)
Uniformizations of stable $$(\gamma ,n)$$(γ,n)-gonal Riemann surfaces Article ISI SCOPUS Analysis and Mathematical Physics (2018)
A NOTE ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF RATIONAL MAPS Article SCOPUS Glasgow Mathematical Journal (2017)
A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI Quispe S. Article ISI SCOPUS GLASGOW MATHEMATICAL JOURNAL (2017)
Automorphisms of generalized Fermat curves Kontogeorgis, Aristides Article ISI SCOPUS Journal of Pure and Applied Algebra (2017)
On the connectedness of the set of Riemann surfaces with real moduli Costa, Antonio F. Article ARCHIV DER MATHEMATIK (2017)
Quasiplatonic curves with symmetry group Z22⋊Zm are definable over Q Jiménez, Leslie Article SCOPUS Bulletin of the London Mathematical Society (2017)
Regular dessins d'enfants with field of moduli Q ((p)root 2) Quispe, Saul Article ISI ARS MATHEMATICA CONTEMPORANEA (2017)
Totally Degenerate Extended Kleinian Groups Rubén A. Hidalgo Article SCIELO CUBO, A Mathematical Journal (2017)
Fields of moduli of some special curves Hidalgo R.A.; Quispe S. Article ISI SCOPUS Journal of Pure and Applied Algebra (2016)
JACOBIAN VARIETY OF GENERALIZED FERMAT CURVES Carvacho, Mariela; Hidalgo, Rubn A.; Quispe, Sal Article ISI SCOPUS QUARTERLY JOURNAL OF MATHEMATICS (2016)
On periodic self-homeomorphisms of closed orientable surfaces determined by their orders Baginski, C Article ISI SCOPUS Collectanea Mathematica (2016)
A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree Hidalgo R.A.; Rodríguez, RE Article ISI SCOPUS Archiv der Mathematik (2015)
Edmonds maps on the Fricke-Macbeath curve Hidalgo, R. A Article SCOPUS Ars Mathematica Contemporanea (2015)
Field of moduli of generalized Fermat curves of type (k, 3) with an application to non-hyperelliptic dessins d'enfants Hidalgo R.A.; Johnson, P Article ISI SCOPUS Journal of Symbolic Computation (2015)
A SIMPLE REMARK ON THE FIELD OF MODULI OF RATIONAL MAPS Hidalgo R.A. Article ISI SCOPUS QUARTERLY JOURNAL OF MATHEMATICS (2014)
Computing the Field of Moduli of the KFT family Hidalgo, Ruben A. Article SCIELO Proyecciones (Antofagasta) - Revista de matemï¿½tica (2014)
ON THE CONNECTIVITY OF THE BRANCH LOCUS OF THE SCHOTTKY SPACE Hidalgo, Ruben A.; Izquierdo, Milagros Article ISI SCOPUS ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (2014)
Almost Abelian regular dessins d'enfants Hidalgo R.A. Article ISI SCOPUS Fundamenta Mathematicae (2013)
Automorphisms group of generalized Fermat curves of type (k, 3) Fuertes, Y; Gonzalez-Diez, G; Hidalgo R.A.; Leyton M. Article ISI SCOPUS Journal of Pure and Applied Algebra (2013)
Lowest uniformizations of compact Klein surfaces Hidalgo R.A. Article ISI SCOPUS Revista Matematica Iberoamericana (2013)
ORBIFOLDS WITH SIGNATURE (0; k, kn-1, kn, kn) Carocca A.; Hidalgo R.A.; Rodríguez, RE Article ISI SCOPUS Pacific Journal of Mathematics (2013)
SCHOTTKY UNIFORMIZATIONS OF SYMMETRIES Gromadzki, G; Hidalgo R.A. Article ISI SCOPUS Glasgow Mathematical Journal (2013)
The bipartite graphs of abelian dessins d'enfants Hidalgo R.A. Article ISI SCOPUS Ars Mathematica Contemporanea (2013)
A remark on (p, n)-gonal quasiplatonic Riemann surfaces Hidalgo, R. A Article ISI SCOPUS Geometriae Dedicata (2012)
A simple remark on fields of definition Hidalgo R. Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2012)
FIELDS OF MODULI OF CLASSICAL HUMBERT CURVES Hidalgo, R. A; Reyes S. Article ISI SCOPUS Quarterly Journal of Mathematics (2012)
HOMOLOGY CLOSED RIEMANN SURFACES Hidalgo, R. A Article ISI SCOPUS Quarterly Journal of Mathematics (2012)
ON CONJUGACY OF p-GONAL AUTOMORPHISMS Hidalgo, R. A Article ISI BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY (2012)
CONJUGACY CLASSES OF AUTOMORPHISMS p-GROUPS Hidalgo R.A. Article ISI SCOPUS Bulletin of the Korean Mathematical Society (2011)
Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations Hidalgo R.A. Article ISI SCOPUS Fundamenta Mathematicae (2011)
Numerical Schottky Uniformizations: Myrberg's Opening Process Hidalgo R.A.; Seppala M. Article ISI SCOPUS Lecture Notes in Mathematics (2011)
On the inverse uniformization problem: real Schottky uniformizations Hidalgo R.A. Article ISI SCOPUS Revista Matematica Complutense (2011)
ON UNBRANCHED NON-NORMAL DEGREE FOUR COVERINGS OF HYPERELLIPTIC RIEMANN SURFACES Fuertes, Y; Hidalgo R.A. Article ISI SCOPUS Quarterly Journal of Mathematics (2011)
The fiber product of Riemann surfaces: a Kleinian group point of view Hidalgo R.A. Article ISI SCOPUS Analysis and Mathematical Physics (2011)
Uniformization of conformal involutions on stable Riemann surfaces Diaz R.; Garijo, I; Hidalgo R.A. Article ISI SCOPUS Israel Journal of Mathematics (2011)
A Short Note On M-Symmetric Hyperelliptic Riemann Surfaces Hidalgo, Ruben A. Article SCIELO CUBO, A Mathematical Journal (2010)
Fixed points of imaginary reflections on hyperbolic handlebodies Hidalgo R.A.; Maskit B. Article ISI SCOPUS Mathematical Proceedings of the Cambridge Philosophical Society (2010)
Geometric orbifolds with torsion free derived subgroup Hidalgo R.A.; Mednykh, AD Article ISI SCOPUS Siberian Mathematical Journal (2010)
Lowest uniformizations of closed Riemann orbifolds Hidalgo R.A. Article ISI SCOPUS Revista Matematica Iberoamericana (2010)
Maximal Schottky extension groups Hidalgo R.A. Article ISI SCOPUS Geometriae Dedicata (2010)
Navier-Stokes Equations on Weighted Graphs Hidalgo R.A.; Molina M.G. Article ISI SCOPUS Complex Analysis and Operator Theory (2010)
Schottky double covers Hidalgo R.A. Article ISI REVISTA MATEMATICA COMPLUTENSE (2010)
Structure of Whittaker groups and applications to conformal involutions on handlebodies Diaz R.; Garijo, I; Gromadzki, G; Hidalgo R.A. Article ISI SCOPUS Topology and its Applications (2010)
Generalized Fermat curves Gonzalez-Diez, G; Hidalgo R.A.; Leyton M. Article ISI SCOPUS JOURNAL OF ALGEBRA (2009)
Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals Hidalgo R.A. Article ISI SCOPUS ARCHIV DER MATHEMATIK (2009)
EXISTENCE OF SOLUTIONS OF SEMILINEAR SYSTEMS IN c 2 Hidalgo, Ruben; Godoy, Mauricio Article SCIELO Proyecciones (Antofagasta) - Revista de matemï¿½tica (2008)
Generalized humbert curves Carocca A.; González-Aguilera, V; Hidalgo R.A.; Rodríguez, RE Article ISI SCOPUS ISRAEL JOURNAL OF MATHEMATICS (2008)
ON THE RETROSECTION THEOREM Hidalgo, Ruben Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2008)
Zeros of semilinear systems with applications to nonlinear partial difference equations on graphs Hidalgo R.A. Article ISI SCOPUS JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2008)
Finite dimensional grading of the Virasoro algebra Hidalgo R.A.; Markina I. Article ISI GEORGIAN MATHEMATICAL JOURNAL (2007)
On q-n-gonal Klein surfaces Estrada B.; Hidalgo R.A.; Martinez E. Article ISI SCOPUS ACTA MATHEMATICA SINICA-ENGLISH SERIES (2007)
On uniqueness of automorphisms groups of Riemann surfaces Maximiliano, LA; Hidalgo R.A. Article ISI SCOPUS REVISTA MATEMATICA IBEROAMERICANA (2007)
USFINITE DIMENSIONAL GRADING OF THE VIRASORO ALGEBRA Hidalgo, Ruben; Markina, Irina; Vasilev, Alexander Article GEORGIAN MATHEMATICAL JOURNAL (2007)
Automorphisms of non-cyclic p-gonal Riemann surfaces Costa, Antonio F. Article MOSCOW MATHEMATICAL JOURNAL (2006)
Noded Teichmuller spaces Hidalgo R.A.; Vasil'ev, A Article ISI SCOPUS JOURNAL D ANALYSE MATHEMATIQUE (2006)
On neoclassical Schottky groups Hidalgo R.; Maskit B. Article ISI SCOPUS TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2006)
Automorphism groups of Schottky type Hidalgo R.A. Article ISI SCOPUS ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (2005)
Numerical Schottky uniformizations Hidalgo R.A.; Figueroa J. Article ISI SCOPUS GEOMETRIAE DEDICATA (2005)
On Klein-Schottky groups Hidalgo R.A.; Maskit B. Article ISI PACIFIC JOURNAL OF MATHEMATICS (2005)
REAL SCHOTTKY PARAMETRIZATION Hidalgo, Ruben Article COMPLEX VARIABLES, THEORY & APPLICATION (PRINT) (2005)
Schottky uniformizations of genus 3 and 4 reflecting S-4 Hidalgo R.A. Article ISI SCOPUS JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2005)
TORSION FREE COMMUTATOR SUBGROUPS OF GENERALIZED COXETER GROUPS Hidalgo, Ruben; Rosenberger, Gerhard Article RESULTS IN MATHEMATICS (2005)
Cyclic extensions of Schottky uniformizations Hidalgo R.A. Article ISI SCOPUS ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (2004)
Maximal real Schottky groups Hidalgo R.A. Article ISI SCOPUS REVISTA MATEMATICA IBEROAMERICANA (2004)
Real Schottky uniformizations and Jacobians of May surfaces Hidalgo R.A.; Rodríguez, RE Article ISI SCOPUS REVISTA MATEMATICA IBEROAMERICANA (2004)
Schottky uniformizations of genus 6 Riemann surfaces admitting A(5) as group of automorphisms Hidalgo R.A.; Gonzalez V.; Labbé, G Article ISI SCOPUS GEOMETRIAE DEDICATA (2004)
A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI´S THEOREM Hidalgo, Ruben Article SCIELO Proyecciones (Antofagasta) - Revista de matemï¿½tica (2003)
A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORRELLIS THEOREM Hidalgo, Ruben Article Proyecciones (Antofagasta) - Revista de matemï¿½tica (2003)
A4, A5, S4 AND S5 OF SCHOTTKY TYPE Hidalgo, Ruben Article REVISTA MATEMATICA COMPLUTENSE (2002)
HARMONIC MODULI OF FAMILIES OF CURVES ON TEICHMULLER SPACES Vassiliev, Alexandre; Hidalgo, Ruben Article Scientia Serie A: Mathematical Science (2002)
REAL SURFACES, RIEMANN MATRICES AND ALGEBRAIC CURVES Hidalgo, Ruben Article CONTEMPORARY MATHEMATICS-AMERICAN MATHEMATICAL SOCIETY (ONLINE) (2002)
SOME SPECIAL KLEINIAN GROUPS AND THEIR ORBIFOLDS Hidalgo, Ruben Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2002)
Anticonformal automorphisms and Schottky coverings Hidalgo R.A.; Costa A.F. Article ISI SCOPUS ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (2001)
BOUNDS FOR CONFORMAL AUTOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A) Hidalgo, Ruben Article SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2001)
GAMMA-HYPERELLIPTIC-SYMMETRIC SCHOTTKLY GROUPS Hidalgo, Ruben Article COMPLEX VARIABLES, THEORY & APPLICATION (PRINT) (2001)
NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES Hidalgo, Ruben Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2001)
SCHOTTKY UNIFORMIZATIONS AND RIEMANN MATRICES OF MAXIMAL SYMMETRIC RIEMANN SURFACES OF GENUS 5* Hidalgo, Ruben Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2001)
FIXED POINT PARAMETERS FOR MÖBIUS GROUPS Hidalgo, Ruben A. Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2000)
FIXED POINTS PARAMETERS FOR TEICHMÜLLER SPACE OF CLOSED RIEMANN SURFACES Hidalgo, Ruben A.; LABBÉ, GUSTAVO Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2000)
A NOTE ON THE HOMOLOGY COVERING OF CLOSED KLEIN SURFACES Hidalgo, Ruben Article Proyecciones (Antofagasta) - Revista de matemï¿½tica (1999)
CYCLIC GROUPS OF AUTOMORPHISMS OF SCHOTTKY TYPE Hidalgo, Ruben Article Proyecciones (Antofagasta) - Revista de matemï¿½tica (1999)
DIHEDRAL GROUPS ARE OF SCHOTTKY TYPE Hidalgo, Ruben Article Proyecciones (Antofagasta) - Revista de matemï¿½tica (1999)
AN EXAMPLE OF DEGENERATION ON THE NODED SCHOTTKY SPACE Hidalgo, Ruben Article REVISTA MATEMATICA COMPLUTENSE (1998)
GAMMA-HYPERELLIPTIC RIEMANN SURFACES Hidalgo, Ruben Article Proyecciones (Antofagasta) - Revista de matemï¿½tica (1998)
NODED FUCHSIAN GROUPS I Hidalgo, Ruben Article COMPLEX VARIABLES, THEORY & APPLICATION (PRINT) (1998)
ON A THEOREM OF ACCOLA Hidalgo, Ruben Article COMPLEX VARIABLES, THEORY & APPLICATION (PRINT) (1998)
Some generalized Coxeter groups and their orbifolds Hagelberg M.; Hidalgo, R. A Article REVISTA MATEMATICA IBEROAMERICANA (1997)
The noded Schottky space Hidalgo, R. A Article Proceedings of the London Mathematical Society (1996)
ABELIAN AUTOMORPHISMS GROUPS OF SCHOTTKY TYPE Hidalgo, Ruben Article Proyecciones (Antofagasta) - Revista de matemï¿½tica
BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A) Hidalgo, Ruben A. Article Proyecciones (Antofagasta) - Revista de matemï¿½tica


Parabolic and elliptic partial difference equations: Towards a discrete solution of Navier-Stokes equation Hidalgo, R. A; Molina, M. G. BookWhole SCOPUS Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (2012)


Conjugacy classes of symmetries of compact Kleinian 3-manifolds Gromadzki, G; Hidalgo R.A. ConferencePaper ISI DYNAMICS AND NUMBERS (2014)
Normal coverings of hyperelliptic real Riemann surfaces Cirre, FJ; Hidalgo R.A. ConferencePaper ISI DYNAMICS AND NUMBERS (2014)
A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one Hidalgo R.A. ConferencePaper ISI ANALYSIS AND MATHEMATICAL PHYSICS-BOOK (2009)
LOWEST UNIFORMIZATIONS OF COMPACT REAL SURFACES Hidalgo, Ruben; Maskit, Bernard ConferencePaper DYNAMICS AND NUMBERS (2006)


Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals (vol 93, pg 219, 2009) Hidalgo, R. A Errata ISI SCOPUS Archiv der Mathematik (2012)