"The pessimist borrows trouble, the optimist lends encouragement"




Laureano Gonzalez-Vega

Address and affiliation

Universidad de Cantabria

Facultad de Ciencias

Departamento de Matematicas, Estadistica y Computacion

Avenida de los Castros s/n, 39005 Santander, Cantabria, Spain

Phone: (+34) 942201437                         Fax: (+34) 942201402

E_mail: laureano.gonzalez@unican.es

Career history


PhD Mathematics, Universidad de Cantabria, Spain


Assistant Professor (since 1992) at Universidad de Cantabria, Spain


Dean of the Faculty of Sciences at the Universidad de Cantabria, Spain

Since 2002:

Professor of Algebra at Universidad de Cantabria, Spain


General Director for University & Research, Cantabria Regional Government, Spain

Since 2006:

Director of the International Center for Mathematical Encounters (CIEM) at Castro-Urdiales, Spain

Since 2007:

Scientific Coordinator of the CONSOLIDER-INGENIO 2010 Research Funding Program of the Spanish Ministry of Education and Science



Professional activities

o      Since 1999: Member of the Editorial Board, The ACM SIGSAM Bulletin (Communications in Computer Algebra).

o      Since 2008: Member of the Editorial Board, Mathematics and Computer Science (Springer/Birkhauser)

o      1996-1999: Partner Contractor of the ESPRIT/LTR 21.024 project "A Framework for Integrated Symbolic/Numeric Computation: FRISCO", funded by the European commission through the 4th framework programme

o      1999: Ontario Research Chair for Computer Algebra (University of Western Ontario, London, Canada)

o      2002-2005: Associate Contractor of the RTD project IST-2002-35512 "Intersection algorithms for geometry based IT-applications using approximate algebraic methods-GAIA II", funded by the European commission through the 5th framework programme

o      2002-2006: Member of the Spanish team in the Real Algebraic and Analytic Geometry – RAAG Network  (HPRN-CT-2001-00271)

o      Leader team, from 1996, of six Spanish projects transfering mathematical knowledge to CAD industries (jointly support by national grants and private contributions)

o      PhD Advisor of six PhD in mathematics (four at the Universidad de Cantabria, Spain, and two at the Universit� de Rennes I, France)

o   Programme committee member and/or organizer of various international conferences: ISSAC (International Conference on Symbolic and Algebraic Computation), MEGA (Effective Methods in Algebraic Geometry), CASC (Computer Algebra for Scientific Computing), IAMC (Internet Accessible Mathematical Computation), AGGM (Algebraic Geometry and Geometric Modeling), EACA (Encuentros de Algebra Computacional y Aplicaciones), MACIS (Mathematical Aspects of Computer Science), etc.



Some publications (see here for a more complete list):

o      M. Fioravanti, L. Gonzalez-Vega, I. Necula: Computing the intersection of two ruled surfaces by using a new algebraic approach. Journal of Symbolic Computation 41, 1187-1205, 2006

o      F. Etayo, L. Gonzalez-Vega, N. Del Rio. A new approach for characterizing the relative position of two ellipses depending on one or several parameters. Computer Aided Geometric Design 23, 324-350, 2006

o      G. M. Diaz-Toca, L. Gonzalez-Vega. Computing greatest common divisors and squarefree decompositions through matrix methods: The parametric and approximate cases. Linear Algebra and Its Applications 412, 222-246, 2006

o      G. M. Diaz-Toca, L. Gonzalez-Vega, H. Lombardi. Generalizing Cramer's Rule: Solving uniformly linear systems of equations. SIAM Journal in Matrix Analysis and its Applications 27, 621-637, 2005

o      Mario Fioravanti, Laureano Gonzalez-Vega. On the geometric extraneous components appearing when using implicitization. Mathematical Methods for Curves and Surfaces, 157-168, Nashboro Press, 2005

o      G. M. Diaz–Toca and L. Gonzalez-Vega. Various New Expressions for Subresultants and Their Applications. Applicable Algebra in Engineering, Communication and Computing, 15, 233-266, 2004

o      A. Galligo, L. Gonzalez-Vega, H. Lombardi. Continuity properties for flat families of polynomials. Journal of Pure and Applied Algebra, 184, 1, 77-103, 2003

o      L. Gonzalez-Vega, I. Necula. Efficient topology determination of implicitely defined algebraic plane curves. Computer Aided Geometric Design 19, 719-743, 2002

o      L. Gonzalez-Vega. Computer Aided Design and Modelling. Computer Algebra Handbook - Foundations, Applications, Systems, 234-241, Springer, 2002

o      G. M. Diaz-Toca, L. Gonzalez-Vega. Barnett's theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices. Journal of Symbolic Computation 34, 59-81, 2002

o      L. Gonzalez-Vega, T. Recio. Industrial applications of Computer Algebra: climbing up a mountain, going down a hill. European Congress of Mathematics, Progress in Mathematics 202 (volume II), 157-167, Birkhauser, 2001