Portal de Transparencia

Actividad investigadora:

• Artículos en revistas
  • [2019] Nuevos retos matemáticos en arquitectura
  • [2013] An algorithm to parametrize approximately space curves
  • [2013] Linear sparse differential resultant formulas
  • [2012] On the performance of the approximate parametrization algorithm for curves
  • [2011] A perturbed differential resultant based implicitization algorithm for linear DPPEs
  • [2011] Linear complete differential resultants and the implicitization of linear DPPEs (vol 45, pg 324, 2010)
  • [2010] Approximate parametrization of plane algebraic curves by linear systems of curves
  • [2010] Approximate parametrization of plane algebraic curves by linear systems of curves
  • [2010] Linear complete differential resultants and the implicitization of linear DPPEs
  • [2008] El reto de parametrizar curvas y superficies algebraicas de forma aproximada
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• Capítulos de libros
  • [2012] Differential resultants of super essential systems of linear OD-polynomials
  • [2011] On the computation of differential resultants
  • [2009] Parametrization of e-rational curves
• Conferencias invitadas en congresos
  • [2014] On commuting differential operators and differential subresultants
  • [2014] On commuting differential operators and differential subresultants (work in progress)
  • [2013] Linear sparse differential elimination by differential resultant formulas
  • [2013] Sparse differential resultant formulas: between the linear and the nonlinear case
  • [2011] Linear reparametrizations and differential resultants.
  • [2009] Algoritmos para la parametrización aproximada
  • [2009] Investigación: su proceso en las Matemáticas y en otras disciplinas. Implicaciones
  • [2009] Parametrization of E-Rational Curves
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• Cursos, seminarios y tutoriales
  • [2017] On differential resultants, centralizers of Schrödinger operators and Picard-Vessiot fields
  • [2017] Factorization of stationary Schrödinger operators over KdV spectral curves
  • [2017] One-parameter form factorizations of KdV stationary Schrödinger operators
  • [2016] On differential subresultants and the factorization of stationary Schrödinger operators
  • [2014] Computación Simbólica y Ecuaciones Diferenciales
  • [2014] Sparse Resultant Formulas for Differential Polynomials
  • [2013] Linear sparse differential elimination by differential resultant formulas.
  • [2012] Differential Resultant Formulas for Linear Sparse Differential Polynomials.
  • [2012] Differential Resultants and Implicitization
  • [2011] Differential resultants, a differential elimination tool
  • [2011] Métodos simbólicos para la implicitación diferencial.
  • [2010] A linear differential implicitization algorithm by differential resultants
  • [2009] Implicitación de DPPEs lineales mediante resultantes diferenciales
  • [2009] Implicitación de DPPEs lineales mediante resultantes diferenciales.
  • [2009] Linear differential implicitization and differential resultants
  • [2008] Polyhedral representations of invariant differential operators
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• Estancias y sabáticos recogidos en programas oficiales
  • [2017] Estancia corta en la Universidad de Oporto
  • [2012] Estancia corta Universidad de Granada
  • [2012] Estancia de investigación Universidad de Granada
  • [2012] Estancia de investigación en la Academia China de Ciencias. Institute of Systems Science. Academy of Mathematics and System Sciences.
  • [2011] Institute für Mathematik, Goethe Universität
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• Otras Publicaciones
  • [2018] Algebro-geometric solitonic solutions and Differential Galois Theory
  • [2017] Closed form solutions for KdV Schrödinger operators under spectral curve coupling
  • [2016] Differential elimination by differential resultant formulas
  • [2010] Linear differentil implicitization and differential resultants
  • [2008] A differential resultant-based method for differential implicitization
  • [2008] Implicitization of DPPEs and Differential Resultants
  • [2008] Parametrizing Approximately Algebraic A±ne Plane Curves
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• Otros méritos
  • [2019] Miembro del comité científico del congreso: International Conference Challanges in Mathematical Architecture (CCMA 2019). Madrid, 11-13 julio 2019.
  • [2018] Comité organizador del International Conference on Algebraic Methods in Dynamical Systems (AMDS 2018)
  • [2017] Comité organizador de las Jornadas de matemática aplicada al ámbito forestal
  • [2015] CONSTRUCCIONES ALGEBRO-GEOMÉTRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES.
  • [2014] ALGORITMOS Y APLICACIONES EN GEOMETRÍA DE CURVAS Y SUPERFICIES.
  • [2014] Estancia corta de investigación Universidad del Atlántico
  • [2010] Estancia de investigación en Institut für Mathematik und Geometrie
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• Patentes
  • [2010] PARAM_APROX
  • [2009] PARAM-APROX
• Ponencia en Congresos
  • [2016] A note on Burchnall-Chaundy polynomials and differential resultants
  • [2015] FOSTERING ENGLISH-TAUGHT HIGHER EDUCATION PROGRAMS IN A SPANISH UNIVERSITY: THE TECHENGLISH INNOVATIVE PROJECT
  • [2014] An approximate algorithm to parametrize algebraic curves
  • [2014] An approximate algorithm to parametrize algebraic curves
  • [2014] Differential elimination by differential specialization of Sylvester style matrices
  • [2013] On the Approximate Parametrization Problem of Algebraic Curves
  • [2013] On the approximate parametrization problem of algebraic curves
  • [2013] On the approximate parametrization problem of algebraic curves
  • [2013] Sparse differential resultant formulas: between the linear and the nonlinear case
  • [2012] Differential resultant formulas for linear od-polynomials.
  • [2012] Differential resultant formulas for super Essentials Systems of linear od-polynomials.
  • [2011] Implicitization of linear DPPEs by perturbed differential resultants
  • [2010] A characterization of the implicit equation of a system of linear DPPEs
  • [2009] Parametrization of e-rational curves
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• Premios
  • [2010] Linear differential implicitization and differential resultants
• Proyectos de I+D+i
  • [2012] ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES
  • [2012] ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES
  • [2009] ANALISIS NUMERICO.
  • [2009] Algoritmos simbólico numéricos para curvas y superficies.
  • [2009] Herramientas Algorítmicas y Combinatorias en Geometría Algebraica y Aplicaciones.
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• Registros de Software
  • [2010] DiffRes
  • [2010] PARAM_APROX
  • [2009] DiffRes
  • [2009] PARAM_APROX
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• Responsabilidades
  • [2016] Coordinator of the Thematic Session:Computational Differential and Difference Algebra. V CLAM
  • [2015] Referato Advances in Applied Mathematics
  • [2014] Algorithms and Applications in the Geometry of Algebraic Curves and Surfaces
  • [2014] Referato ISSAC 2014
  • [2014] Referato JSC
  • [2014] Referato Journal of Algebra and Its Applications
  • [2014] Referato Journal of Computational and Applied Mathematics
  • [2013] Referato AMM
  • [2013] Referato ISSAC 2013
  • [2012] Miembro del comitté organizador
  • [2012] Referato
  • [2012] Referato
  • [2011] Miembro del Comité de Pósters. ISSAC 2011, International Symposium on Symbolic and Algebraic Computation
  • [2011] Referee ISSAC 2011
  • [2011] Referee Journal of Symbolic Computation
  • [2011] Referee SNC 2011
  • [2010] Referato JA
  • [2010] Referato JSC
  • [2010] Referato MCS
  • [2009] Referee para el Journal of Algebra
  • [2009] Referee para el Mathematical Reviews.
  • [2009] Referee para la American Mathematical Society,
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