Personal web page


 

 

CARLOS GALINDO

 



 

 

Address / Dirección

Phone / Teléfono  0034964728422

  • Departamento de Matemáticas and
  • Instituto Universitario de Matemáticas y sus Aplicaciones

Fax  0034964728429

  • Escuela Superior de Tecnología y Ciencias Experimentales

e-mail  galindo@mat.uji.es

  • Universidad Jaume I

Office / Despacho  TI2320DD

  • Campus Riu Sec

 

  • 12071 Castellón (SPAIN)

 


 

 

Interests / Intereses

  • Algebraic Geometry: Singularities, Valuations, Foliations, Multiplier ideals, Graded Algebras.
  • Coding theory.
  • Discrete mathematics.

Publications  from 2000/ Publicaciones  desde 2000

    • Un exemple effectif de gradué non Noethérien associé à une valuation divisorielle. With V. Cossart and O. Piltant. Annales de l’institut Fourier    50 (1), 105-112  (2000)
    • Saturation and Puiseux exponents for valuations on two dimensional regular local rings. With F. Delgado and A. Nuñez.  Mathematische  Zeitschrift 234 (3) 519-550  (2000)
    • On the structure of the value semigroup of a valuation. Pacific Journal of Mathematics 205 (2) 325-338 (2002)
    • The Poincaré series associated with finitely many monomial valuations. With A. Campillo. Mathematical Proceedings of the Cambridge Philosophical Society 134  433-443 (2003)
    •  On the cones of curves and of line bundles of a rational surface. With F. Monserrat. International Journal of Mathematics 15  (4)  394 -407  (2004)
    • The cone of curves associated to a plane configuration. With F. Monserrat. Comentarii Mathematici Helvetici  80  (1) 75 -93 (2005)
    • The total coordinate ring of a smooth projective surface. With F. Monserrat. Journal of Algebra  284   91-101 (2005)
    • Algebraic Integrability of foliations of the plane. With F. Monserrat. Journal of Differential Equations 231 611-632 (2006)
    • Evaluation Codes and plane valuations. With M. Sanchis. Designs, Codes and Cryptography 41 199-219 (2006)
    • Generating sequences and Poincaré series for a finite set  of plane divisorial valuations. With F. Delgado and A. Nuñez. Advances in Mathematics 219 1632-1635 (2008).
    • Delta-sequences and evaluation codes defined by plane valuations at infinity. With F. Monserrat. Proceedings of the London Mathematical Society 98 714-740 (2009).
    • On the characterization of algebraically integrable plane valuations. With F. Monserrat. Transactions of the American Mahematical Society 362 4557-4568 (2010).
    • The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface. With F. Monserrat. Advances in Mathematics 225 1046-1068 (2010).
    • Improved evaluation codes given defined by plane valuations. With M. Borges-Quintana and M.A. Borges-Trenard. Finite Fields and their Applications 16 265-276 (2010).
    • Finite families of plane valuations: value semigroup, graded algebra and Poincaré series. With F. Monserrat. Contemporary Mathematics 516 189-212 (2012).
    • Evaluation codes defined by finite families of plane valuations at infinity. With F. Monserrat. Designs, Codes Crypt. 70 (2014), 189-213.
    • The Abhyankar-Moh theorem for plane valuations at infinity. With F. Monserrat. J. Algebra 374 (2013), 181-194.
    • The Poincaré problem, algebraic integrability and dicritical divisors. With F. Monserrat. Journal of Differential Equations 256 (2014), 3614-3633.
    • Evaluation codes and plane valuations. With J.I. Farrán. Contemporary Mathematics 642 119-157 (2015).
    • Quantum codes from affine variety codes and their subfield subcodes. With F. Hernando. Designs, Codes Crypt. 76 (2014), 89-100.
    • A class of polynomial planar vector fields with polynomial first integral. With A. Ferragut and F. Monserrat. Journal of Mathematical Analysis and Applications 430 (2015), 354-380.
    • Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement. With F. Hernando and  D. Ruano. Quantum Information Processing 14 (2015), 3211-3231.
    • New quantum codes from evaluation and matrix-product codes. With F. Hernando and  D. Ruano. Finite Fields and their Applications 36 (2015), 98-120.
    • On the evaluation codes given by simple δ-sequences. With R. Pérez-Casales. Applicable Algebra in Engineering, Communication and Computing 27 (2016), 59-90.
    • The cone of curves and the Cox ring of rational surfaces given by divisorial valuations. With F. Monserrat. Advances in Mathematics (2015). DOI: 10.1016/j.aim.2015.12.015
    • The log canonical threshold of a plane curve. With F. Hernando and F. Monserrat. To appear in Math. Proc. Cambridge Math. Soc.

 

 

Recent Conferences / Conferencias recientes

  • El anillo total de coordenadas de una superficie regular proyectiva. Valladolid. 2003.
  • Sobre la integrabilidad algebraica de foliaciones del plano. Valladolid 2005.
  • Códigos AG y de evaluación. Murcia 2006.
  • Códigos de evaluación definidos por valoraciones en el infinito. Valladolid 2007
  • Integrabilidad algebraica de foliaciones del plano. Madrid 2007
  • Delta-sequences and codes given by plane valuations at infinity. Segovia 2007
  • Codes given by plane valuations. Guanajuato 2008.
  • The Poincaré series of multiplier ideals of a simple complete ideal. Oaxaca 2009.
  • Plane valuations at infinity. Applications to coding theory. Segovia 2009.
  • An algorithm for the polyhedrality of the cone of curves of a rational surface. Santiago de Compostela 2010.
  • Finite families of plane valuations: value semi-group, graded algebra and Poincaré series. Course taught in International School and Workshop on the Algebro-Geometric Aspects of Projective Varieties. Morelia (Mexico) 2011.
  • Evaluation codes defined by finite families of plane valuations at infinity. 3rd International Castle Meeting on Coding Theory and Applications. Barcelona 2011.
  • Families of delta sequences and evaluation codes. UNAM. México City 2012.
  • Evaluation codes and plane valuations. Course taught in Algebra for Secure and Reliable Communication Modeling. Cimpa-Unesco Research School. México 2012.
  • Jumping numbers and multiplier ideals for complete ideals of 2-dimensional regular local rings. Arithmetic Days. Saint Petersburg 2013.
  • Log-canonical thresholds and multiplier ideals for plane curves and complete ideals of dimension 2. Third International Workshop on Zeta Functions in Algebra and Geometry. Guanajuato 2014.
  • Families of plane valuations at infinity having good algebraic and geometric properties. Congreso RSME 2015. Granada (2015).

Courses and Schedule / Asignaturas y horario (2010/2011)

  • Álgebra Abstracta Aplicada
  • Criptología. Aplicaciones a la seguridad informática y comercial
  • Algebra (EURUJI).

 

Tutorials / Tutorías

Primer Semestre:

Segundo Semestre: 

Proyectos docentes

·       La revolución científico-tecnológica y la enseñanza de las matemáticas. Proyecto UJI financiado por la USE

·       La docencia de las matemáticas a debate. Proyecto UJI financiado por la USE

·       Adaptación a la docencia de las matemáticas de las técnicas de enseñanza virtual. Proyecto UJI financiado por la USE

·       Tareas y herramientas e-learning para mejorar las habilidades matemáticas de los estudiantes de primer año. Proyecto UJI financiado por la USE

·       Conocimientos previos para las titulaciones de la Universitat Jaume I. Proyecto UJI financiado por la USE.

·       E-learning de las matemáticas en las universidades españolas: tendencias tecnológicas, emergentes y adaptación al EEES. Proyecto nacional financiado por el Ministerio de Educación y Ciencia.

·       La docencia de las matemáticas en los títulos de informática de la UJI: de las ingenierías actuales a los futuros grados. Proyecto UJI financiado por la USE