Personal Details:

Phone: 34-91-4521100

Fax:      34-91-4521110
 
 

Current Situation:

Academic Degrees:

• Graduate in Mathematicss. Universidad de Cantabria. June 1996.
• Graduate in CAP (Curso de Adaptación Pedagógica). May 1997.
• Doctorate.  Universidad de Cantabria. Thesis: Unirational Fields. Theorems, Algorithms and Applications. January 2001.

Papers:

• Jaime Gutierrez, Rosario Rubio: Reduced Gröbner Bases Under Composition. Journal of Symbolic Computation 26, pp. 433-444, 1998.
• Jaime Gutierrez, Rosario Rubio, Jie-Tai Yu: D-Resultant forRational Functions. Proceedings of the American Mathematical Society, 103-8, pp. 2237-2246, 2002.
• Jaime Gutierrez, Rosario Rubio, Josef Schicho: Polynomial Parametrization of Curves without affine singularities. Computer Aided Geometric Design, 19-3, pp. 223-234, 2002.
• Jaime Gutierrez, Rosario Rubio, David Sevilla: On Multivariate Rational Function Decomposition.  Journal of Symbolic Computation, 33-5, pp. 545-562, 2002.
• Joachim von zur Gathen, Jaime Gutierrez, Rosario Rubio: Multivariate Polynomial Decomposition. Aplicable Algebra in Engineering, Comunication and Computing, AAECC, 14, 2003.
  
 

Book Chapters:

• Joachim von zur Gathen, Jaime Gutierrez, Rosario Rubio: On Multivariate Polynomial Decomposition. Computer Algebra in Scientific Computing - CASC'99, Springer-Verlag, Berlín, 463-478, 1999.
• Jaime Gutierrez, Rosario Rubio: CADECOM: Computer Algebra software for functional DECOMposition. Computer Algebra in Scientific Computing - CASC'00, Springer-Verlag, Berlín, 233-248, 2000.
• Cesar Alonso, Jaime Gutierrez, Rosario Rubio: On the dimension and the number of parameters of a unirational variety. Proceedings on Cryptography and Computational Number Theory, CCNT'99, Birkhäuser, 3-9, 2001.
• Jaime Gutierrez, Rosario Rubio, David Sevilla: Computing the Fixing Group of a Rational Function. Computer Algebra in Scientific Computing - CASC'02, Springer-Verlag, Berlín, 159-164, 2002.

Participations in International Conferences:

• Functional Decomposition and GrröbnerBasis.IMACS-ACA, August 1998, Praga.
• Polynomial Multivariate Decomposition. IMACS-ACA, August 1998, Praga.
• Computing Subfields in pure transcendental extensions. IMACS-ACA'99, junio de 1999, Madrid.
• On Multivariate Polynomial Decomposition. CASC'99, June 1999, Munich.
• Functional Decomposition. ACA'01, June 2001, New Mexico.
• Unirational fields of transcendence degree one and functional decomposition. ISAAC'01, July 2001, Ontario.
• Polynomial Parametrization of Curves without Affine Singularities. RAAG'03, April 2003, Pisa, Italy.
  
 

Participations in National Conferences:

• Criptografía: La Ciencia de la Comunicación. XXV Symposium at Universidad de Valladolid. January 1996.
• Cálculo de Subcuerpos en Extensiones Puramente Transcendentes. EACA'99, September 1999, S/C de Tenerife.
• Análisis e implementación de un algoritmo de convexidad. EACA'01, September 2001, La Rioja.

Stay in a Foreign Institution:

• CICMA ,Concordia University, Montreal, Canada. Prof. Mckay. September-December 1997, twelve weeks.
• Universität-Gesamthochschule Paderborn, Germany. Prof. von zur Gathen. August 1998.
• University of California at Irvine, California, EEUU. Prof. Fried. September-December 1998, ten weeks.
• Research Institute for Symbolic Computation, , University of Linz, Austria. Prof. Schicho. July-August 1999, six weeks.

Attendance to Tutorial Courses:

• Applications of Computer Algebra.. Crash course Erasmus-Red Galois and Universidad de Cantabria. Laredo. Profs: A. Cohen, C. Bajaj, P. Kovacs, F. Rouillier, L. Gonzalez Vega, T. Recio. September 1997.
• Around Symbolic Integration.. Prof. Bronstein. Tutorial at ISSAC98. August 1998.
• Towards ``soft'' Typing in Computer Algebra Systems. Prof. Duval. Tutorial at ISSAC98. August 1998.
• Interaction between Numerical Analysis and Computer Algebra. Prof. Stetter. Tutorial at ISSAC98. August 1998.
• International Workshop on Real Geometry. Madrid, December 2001.

Current Investigation:

• Jaime Gutierrez, Rosario Rubio, David Sevilla: Computing Subfields.

• Carlos Andradas, Rosario Rubio, Pilar Vélez: An Algorithm for Convexity of Semilinear Sets over Ordered Fields.
• Gema Díaz-Toca, Rosario Rubio, José Miguel Serradilla, Pilar Vélez: Computing singularities of parametric curves.

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Last version: 29/09/03