o Modules sur les anneaux commutatifs. Cours et exercices. Claude Quitté (Auteur), Henri Lombardi (Auteur), Gema Maria Diaz Toca (Auteur). Calvage et Mounet (October 2014). See the report on Zentralblatt.

o Closed formulae for multiple roots of univariate polynomials through subresultants. Jorge Caravantes, Gema M. Diaz-Toca and Laureano Gonzalez-Vega. Preprint

• Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti and Laureano Gonzalez-Vega.Closed form formulae for the interference of two conics, 2026. Computer Aided Geometric Design, https://doi.org/10.1016/j.cagd.2026.102539

• Gema M. Diaz-Toca, Henri Lombardi and Claude Quitté Constructive definitions for cyclotomic polynomials. https://doi.org/10.5206/mt.v6i1.23579

• Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti and Laureano Gonzalez-Vega.Tools for analyzing the intersection curve between a torus and a quadric through projection and lifting. Computer Aided Geometric Design, 126, April 2026, 102533. https://doi.org/10.1016/j.cagd.2026.102533

• Jorge Caravantes, Gema M. Diaz-Toca, and Laureano Gonzalez-Vega. Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve Defined Implicitly. Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France, August 30-September 1, Proceedings, Part I. Lecture Notes in Computer Science (LNCS) 14071, Springer.

• Juan Gerardo Alcázar, Gema M. Diaz-Toca. Computing the topology of the image of a parametric planar curve under a birational transformation. Computer Aided Geometric Design, 102, May 2023, 102189. https://doi.org/10.1016/j.cagd.2023.102189

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• Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti and Laureano Gonzalez-Vega. Solving the interference problem for ellipses and ellipsoids: New formulae. Journal of Computational and Applied Mathematics, Volume 407, 2022, 114072, https://doi.org/10.1016/j.cam.2021.114072 . https://authors.elsevier.com/c/1eQ2y1LkiPSsBS

• Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti and Laureano Gonzalez-Vega. On the Implicit Equation of Conics and Quadrics Offsets. Mathematics 2021, 9(15), 1784; Jul 2021, https://doi.org/10.3390/math9151784

• G.M. Diaz-Toca, L. Marin and I. Necula. Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid. Computers and Geosciences, Volume 142, September 2020. https://doi.org/10.1016/j.cageo.2020.104551

• J.G. Alcázar, J. Caravantes, G.M. Diaz-Toca , E. Tsigaridas. Computing the topology of a planar or space hyperelliptic curve. Computer Aided Geometric Design, Volume 78, March 2020, code} .https://doi.org/10.1016/j.cagd.2020.101830

• Gema M. Diaz-Toca et Henri Lombardi. Calcul matriciel généralisé sur les domaines de Prüfer. Bulletin des Sciences Mathématiques 159, 2020. https://authors.elsevier.com/a/1a64g1iQ5tsBh https://doi.org/10.1016/j.bulsci.2019.102808

• J.G. Alcázar, G.M. Diaz-Toca and C. Hermoso. On the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similar.codeArXiv International Journal of Algebra and Computation. Volume No.29, Issue No. 05. Pages 775-793, 2019. https://doi.org/10.1142/S0218196719500279

• Jorge Caravantes, Mario Fioravanti, Laureano Gonzalez-Vega, Gema Diaz-Toca. Offsets to conics and quadrics: a new determinantal representation for their implicit equation. ACM Commun. Comput. Algebra, 52, 3, 2018. doi>10.1145/3313880.3313890

• J.G. Alcázar, J. Caravantes and G.M. Diaz-Toca. On the square-freeness of the offset equation to a rational planar curve. International Journal of Algebra and Computation, Volume No.28, Issue No. 03, Pages 395-409, 2018. https://doi.org/10.1142/S0218196718500194

• Jorge Caravantes, Gema M Diaz-Toca, Mario Fioravanti, Laureano Gonzalez-Vega y Ioana Necula. An algebraic framework for computing the topology of offsets to rational curves. Computer Aided Geometric Design. Volume 52-53, Pages 28-47, 2017. http://dx.doi.org/10.1016/j.cagd.2017.03.007

• G.M. Diaz–Toca, S. Belhaj. Blind image deconvolution through Bezoutians. Journal of Computational and Applied Mathematics.

Volume 315,1, May 2017, Pages 98–106. http://dx.doi.org/10.1016/j.cam.2016.10.021

• F. Crespo, G. Díaz–Toca , S. Ferrer , M. Lara. Poisson and symplectic reductions of 4−DOF isotropic oscillators. The van der Waals system as benchmark. Applied Mathematics and Nonlinear Sciences 1(2) (2016) 473–492. http://dx.doi.org/10.21042/AMNS.2016.2.00038

• J. Caravantes, J.G. Alcázar and G.M. Díaz-Toca. A new method to compute the singularities of offsets to rational plane curves. Journal of Computational and Applied Mathematics 290, 385–402, December 2015. See the code. http://dx.doi.org/10.1016/j.cam.2015.06.001

• D. Aruliah, R. Corless, G.M. Díaz-Toca, L. González-Vega and A. Shakoori. The Bézout Matrix for Hermite Interpolants. See the

code. Linear Algebra and its Applications, Vol. 474, 12–29, June 2015. http://dx.doi.org/10.1016/j.laa.2015.02.001

• Gema M Diaz-Toca y Ioana Necula. Direct symbolic transformation from 3D cartesian into hyperboloidal coordinates. Applied Mathematics and Computation 228, 349–365, 2014. http://dx.doi.org/10.1016/j.amc.2013.11.099

• R. M. Corless, G. M. Diaz-Toca, M. Fiovanati, L. Gonzalez–Vega, I.F. Rua and A. Shakoori. Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Computer Aided Geometric Design, Vol 30, 675-706, Issue 7, 2013. http://dx.doi.org/10.1016/j.cagd.2013.04.003

• G. M. Diaz–Toca and M. Fioravanti and L. Gonzalez–Vega and A. Shakoori. Using implicit equations of parametric curves and surfaces without computing them: polynomial algebra by values. Computer Aided Geometric Design. Vol 30, Issue 1, 116-139, 2013. http://dx.doi.org/10.1016/j.cagd.2012.06.006

• Juan Gerardo Alcázar y Gema M Diaz-Toca. On the Shape of Curves that are Rational in Polar Coordinates. Computer Aided Geometric Design. Vol. 29, 665-675, 2012. http://dx.doi.org/10.1016/j.cagd.2012.09.001  

• Gema M Diaz-Toca y Henri Lombardi. A polynomial bound on the number of comaximal localizations needed in order to make free a projective module. Linear Algebra and Its Applications, Volume 435, Issue 2, 354-360, 2011.

• Gema M Diaz-Toca y Henri Lombardi. Dynamic Galois Theory. Journal of Symbolic Computation, Vol 45, 12, 1316-1329, 2010.

• Juan Gerardo Alcázar y Gema M Diaz-Toca. Topology of 2D and 3D Rational Curves. Computer Aided Geometric Design, Volume 27, Issue 7, Pages 483-502, 2010.

• Gema M Diaz-Toca, Juan Egea, Sebastián Ferrer, Jan Cees van der Meer y Juan Antonio Vera. Relative equilibria and bifurcations in the generalized van der Waals 4-D oscillator. Physica D: Nonlinear Phenomena, 2010, Vol 239, 16, 1610-1625.

• Nadia Ben Atti y Gema M Diaz-Toca. LU Equivalence and Signatures of Bezoutians and Hankel matrices. Contribuciones científicas en honor de Mirian Andrés Gómez, 2010.descargar

• Jounaidi Abdeljaoued, Gema M Diaz-Toca y Laureano González Vega. Bezout matrices, Subresultant polynomials and parameters. Applied Mathematics and Computation, 2009, Vol/Pg 214, 588–594.

• Nadia Ben Atti y Gema M Diaz-Toca. Block LU factorization of Hankel and Bezout matrices and Euclidean algorithm. Int J. Computer Math., 2009, Vol/Pg 135-149.

• Gema M Diaz-Toca , Laureano González Vega, Claude Quitté y Henri Lombardi. Modules projectifs de type fini, applications lineaires croisees et inverses generalises. Journal of Algebra, 2006, Vol/Pg 303, 450 - 475.

• Nadia Ben Atti , Gema M Diaz-Toca y Henri Lombardi. The Berlekamp-Massey Algorithm revisited. Applicable Algebra in Engineering, Communication and Computing (AAECC) 2006, Vol/Pg 17, nº1, 75 - 82.

• Gema M Diaz-Toca y Laureano Gonzalez-Vega. Computing greatest common divisors and squarefree decompositions through matrix methods: the parametric and approximate cases. Linear Algebra and its Applications (LAA). 2006, Vol/Pg 412, 222-246.

• Nadia Ben Atti y Gema M Diaz-Toca. Block diagonalization and LU- equivalence of Hankel matrices. Linear Algebra and its Applications, 2006, Vol/Pg 412, 247-269.

• Gema M Diaz-Toca. Galois Theory, Splitting fields and Computer Algebra. Journal of Symbolic Computation, Vol. 41, Nº 11, 2006 , págs. 1174-1186, (2006)

• Gema M Diaz-Toca, Laureano Gonzalez-Vega y Henri Lombardi. Generalizing Cramer’s Rule : Solving Uniformly linear systems of Equations. SIAM Journal of Matrix Analysis and Applications, 2005, Vol/Pg 27, 621-637

• Gema M Diaz-Toca y Laureano Gonzalez-Vega. Various New Expressions for Subresultants and Their Appplications. Applicable Algebra in Engineering, Communication and Computing (AAECC), 2004, Vol/Pg 15, 3-4, 233 – 266

• Jounaidi Abdeljaoued, Gema M Diaz-Toca y Laureano Gonzalez-Vega. Minors of Bezout matrices, Subresultants and the parameterization of the degree of the polynomial greatest common divisor. Int. Journal of Computer Mathematics, 2004, Vol/Pg 81, 10, 1223-1238

• Gema M Diaz-Toca y Laureano Gonzalez-Vega. Barnett's theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices. Journal of Symbolic Computation, 2002 ,Vol/Pg 34, 1, 59-81.

• Gema M Diaz-Toca y Laureano Gonzalez-Vega. Squarefree decomposition of univariate polynomials depending on a parameter. Application to the integration of parametric rational functions. Journal of Symbolic Computation. 2001 Vol/Pg 32 , nº 3, 191-209

• Gema M Diaz-Toca y Laureano Gonzalez-Vega. An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computations. Symbolic computation: solving equations in algebra, geometry, and engineering. Contemporary Mathematics. AMS. 2001 Vol/Pg 286, 21-35