Project MTM2011-25816-C02-00
Brief Description
The coordinated project MTM2011-25816-C02-00 is structured in two subprojects, one at the "Universidad de Alcalá" (leaded by
Prof. J.R.Sendra) and other at the "Universidad de Cantabria" (leaded by Prof. T. Recio).
In addition to the universities mentioned above, researchers from the following universities also participate in the project:
Universidad Complutense de Madrid, Universidad de Murcia, Universidad de Sevilla, Universidad de Vigo, Universidad Poltécnica de Madrid,
Johannes Kepler Universität Linz (Austria) and Technische Universität Wien (Austria).
This project is about developing an algorithmic approach to some algebraic geometry problems arising through applications
in different contexts (CAD, GPS, Dynamic Geometry software, etc.). It includes two main lines of research:
- Algorithmic Tools in Algebra and Geometry. The aim of this research line is the study and development
of the theoretical background leading to algorithms for the optimal parametrizaton (regarding the field of coefficients) of
curves and surfaces, for dealing with differential algebraic polynomials, for the manipulation of tropical varieties and for
analysis of the normality of rational surfaces.
- Applications. The second research line focuses on the construction and analysis of symbolic and
hybrid symbolic-approximate algorithms oriented to problems arising from practical situations, geometric constructions such
as conchoids, approximate parametrizations, computing the topology of algebraic sets
parametrically given, modelling GPS systems, providing automatic reasoning to dynamic geometry software ..
are within the main goals of this line.
Brief Description
-
The coordinated project MTM2011-25816-C02-00 is structured in two subprojects, one at the "Universidad de Alcalá" (leaded by
Prof. J.R.Sendra) and other at the "Universidad de Cantabria" (leaded by Prof. T. Recio).
- Algorithmic Tools in Algebra and Geometry. The aim of this research line is the study and development of the theoretical background leading to algorithms for the optimal parametrizaton (regarding the field of coefficients) of curves and surfaces, for dealing with differential algebraic polynomials, for the manipulation of tropical varieties and for analysis of the normality of rational surfaces.
- Applications. The second research line focuses on the construction and analysis of symbolic and hybrid symbolic-approximate algorithms oriented to problems arising from practical situations, geometric constructions such as conchoids, approximate parametrizations, computing the topology of algebraic sets parametrically given, modelling GPS systems, providing automatic reasoning to dynamic geometry software .. are within the main goals of this line.
In addition to the universities mentioned above, researchers from the following universities also participate in the project: Universidad Complutense de Madrid, Universidad de Murcia, Universidad de Sevilla, Universidad de Vigo, Universidad Poltécnica de Madrid, Johannes Kepler Universität Linz (Austria) and Technische Universität Wien (Austria).
This project is about developing an algorithmic approach to some algebraic geometry problems arising through applications in different contexts (CAD, GPS, Dynamic Geometry software, etc.). It includes two main lines of research: