About

My research lies at the intersection of computer algebra, algebraic geometry, and their computational applications. Over the years, I have contributed to the theory and algorithms underlying the rational and radical parametrization of algebraic curves and surfaces, to the study of offsets, conchoids, and related geometric constructions, to hybrid symbolic-numerical computation, and to the algebro-geometric treatment of algebraic differential equations. A second, closely related line of research concerns symbolic matrix analysis, including generalized inverses, structured resultants, and Bohemian matrices.

As a result of my research, I have obtained six consecutive six-year research assessment periods (sexenios de investigación).

• AffiliationCUNEF Universidad, Madrid
• FieldsSymbolic computation · Computer algebra · Algebraic geometry
• Contactjrafael.sendra@cunef.edu

Research areas

• Rational parametrizationCurves and surfaces: computation, properness, inversion, implicitization, optimal parametrization and real parametrizations. Special types of surfaces. Approximated parametrizations.
• Applications in CAGDOffsets & conchoids: algebraic analysis, degree formulae and rational parametrization of derived constructions.
• Radical parametrizationRadical parametrizations of curves and surfaces. Radical varieties. Applications.
• Algebraic differential equationsSolving AODEs and APDEs by parametrizations (rational and radical) and via algebro-geometric methods.
• Symbolic matrix analysisGeneralized inverses: symbolic computation of Moore–Penrose, Drazin and BC-inverses. Bohemian matrices. Tropical algebra.