Computing the Topology of an Arrangement of Quartics. - Jorge Caravantes; Laureano González-Vega (IMA Conference on the Mathematics of Surfaces, 2007)

Improving the topology computation of an arrangement of cubics. - Jorge Caravantes; Laureano González-Vega (Comput. Geom., 2008)

Analyzing group based matrix multiplication algorithms. - Jon González-Sánchez; Laureano González-Vega; Alejandro Piñera-Nicolás; Irene Polo-Blanco; Jorge Caravantes; Ignacio F. Rúa (ISSAC, 2009)

Computing the Topology of an Arrangement of Implicit and Parametric Curves Given by Values. - Jorge Caravantes; Mario Fioravanti; Laureano González-Vega; Ioana Necula (CASC, 2014)

Iterative computation of the convex hull of a rational plane curve. - Juan Gerardo Alcázar; Carlos Hermoso; Jorge Caravantes; Gema M. Diaz-Toca (ACM Commun. Comput. Algebra, 2015)

Computing the topology of an arrangement of parametric or implicit algebraic curves in the Lagrange basis. - Mario Fioravanti; Laureano González-Vega; Jorge Caravantes (ACM Commun. Comput. Algebra, 2015)

A new method to compute the singularities of offsets to rational plane curves. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca (J. Comput. Appl. Math., 2015)

A canonical form for the continuous piecewise polynomial functions. - Jorge Caravantes; Maria de los Angeles Gomez-Molleda; Laureano González-Vega (J. Comput. Appl. Math., 2015)

On the computation of the straight lines contained in a rational surface. - Juan Gerardo Alcázar; Jorge Caravantes (CoRR, 2016)

An algebraic framework for computing the topology of offsets to rational curves. - Jorge Caravantes; Gema María Díaz-Toca; Mario Fioravanti; Laureano González-Vega; Ioana Necula (Comput. Aided Geom. Des., 2017)

On the Interference Problem for Ellipsoids: Experiments and Applications. - Jorge Caravantes; Laureano González-Vega (ICMS, 2018)

Offsets to conics and quadrics: a new determinantal representation for their implicit equation. - Jorge Caravantes; Mario Fioravanti; Laureano González-Vega; Gema M. Diaz-Toca (ACM Commun. Comput. Algebra, 2018)

Computing the topology of a planar or space hyperelliptic curve. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca; Elias P. Tsigaridas (CoRR, 2018)

The square-freeness of the offset equation to a rational planar curve, computed via resultants. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca (Int. J. Algebra Comput., 2018)

A Maple Package for the Symbolic Computation of Drazin Inverse Matrices with Multivariate Transcendental Functions Entries. - Jorge Caravantes; J. Rafael Sendra; Juana Sendra (MC, 2019)

A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations. - Jorge Caravantes; Sonia Pérez-Díaz; J. Rafael Sendra (MC, 2020)

Computing the topology of a plane or space hyperelliptic curve. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca; Elias P. Tsigaridas (Comput. Aided Geom. Des., 2020)

Transforming ODEs and PDEs with radical coefficients into rational coefficients. - Jorge Caravantes; J. Rafael Sendra; David Sevilla; Carlos Villarino (CoRR, 2020)

Covering rational surfaces with rational parametrization images. - Jorge Caravantes; J. Rafael Sendra; David Sevilla; Carlos Villarino (CoRR, 2021)

Solving the interference problem for ellipses and ellipsoids: New formulae. - Jorge Caravantes; Gema María Díaz-Toca; Mario Fioravanti; Laureano González-Vega (J. Comput. Appl. Math., 2022)

Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve Defined Implicitly. - Jorge Caravantes; Gema M. Diaz-Toca; Laureano González-Vega (GSI (1), 2023)

Sufficient conditions for the surjectivity of radical curve parametrizations. - Jorge Caravantes; J. Rafael Sendra; David Sevilla; Carlos Villarino (CoRR, 2023)

Relative position of a parabola or a hyperbola and an ellipse without computing intersection points. - Jorge Caravantes; Gema M. Diaz-Toca; Mario Fioravanti; Laureano González-Vega (CoRR, 2025)