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Presentations

Invited talks:

  • Sobre ecuaciones diferenciales asociadas con perturbaciones de polinomios ortogonales en la circunferencia unidad, 53 Congreso Nacional de la SMM. Virtual (October 2020).
  • On some electrostatic models associated with zeros of orthogonal polynomials, Meeting on Geometry and Physics UASLP 2019, UASLP, San Luis Potosí, México (January 2019)
  • Spectral transformations of orthogonal polynomials. A matrix perspective, VI Iberoamerican Workshop in Orthogonal Polynomials and Applications, Universidade Federal do Triângulo Mineiro (UFTM), Uberaba, Brazil (May 2017).
  • A higher order Sobolev-type inner product for orthogonal polynomials in several variables, Selected Topics in Mathematical Physics, IMATE Cuernavaca, México (November 2016)
  • Polinomios ortogonales: Una introducción a la teoría de transformaciones espectrales, Encuentro Nacional de Jóvenes Investigadores en Matemáticas, CDMX, México (December 2015)
  • A matrix approach for the semiclassical and coherent orthogonal polynomials, 1st Joint Meeting IMU-SMM, Oaxaca, México (September 2015).
  • On a matrix approach for semiclassical orthogonal polynomials, BIRS-CMO Orthogonal and Multiple Orthogonal Polynomials, Oaxaca, México (August 2015).
  • On orthogonal polynomials associated with perturbations of Hankel matrices, FoCM, Montevideo, Uruguay (December 2014).
  • Polinomios ortogonales asociados a perturbaciones de momentos, 3er. Encuentro Conjunto de la RSME y la SMM, Zacatecas, México (September 2014).
  • Multivariate orthogonal polynomials: algebraic and analytic properties, XXIV Escuela Nacional de Optimización y Análisis Numérico, CIMAT, Guanajuato, México (May 2014).
  • On non standard perturbations of classical orthogonal polynomials, 3rd. International Workshop on Analysis, Differential Equations, and Control Theory, IFM Morelia, México (February 2014).
  • Sobolev-type orthogonality: Algebraic and asymptotic properties, Mini-Conferencia de Análisis Matemático, Puebla, México (November 2013).
  • Sobolev orthogonal polynomials on the unit circle: asymptotic properties and zeros, Tercer Encuentro Iberoamericano de Polinomios Ortogonales y Aplicaciones (EIBPOA3), San José do Rio Preto, Brazil (May 2013).
  • Perturbation of Laguerre-Hahn class linear functionals by Dirac delta derivatives, International Workshop in Analysis, Differential Equations, and Contro Theory, Morelia, Michoacán, México (January 2012).
  • Polinomios Ortogonales y perturbaciones de matrices de Toeplitz. Primer EIBPOA, Bogotá, Colombia (June 2011).
  • Spectral transformations of orthogonal polynomials: A connection to integrable systems. Jairo Charris Seminar 2010. Santa Marta, Colombia. (August 2010).

Contributed talks:

  • Spectral transformations of matrix orthogonal polynomials: algebraic properties, Operator Theory, Analysis and Mathematical Physics, CDMX, México (January 2020).
  • Transformaciones espectrales asociadas a polinomios ortogonales matriciales, 52 Congreso Nacional de la Sociedad Matemática Mexicana, Monterrey, México (October 2019).
  • Symmetric matrix measures on the unit circle: factorization of CMV matrices, Sixth International Conference in Mathematics and its Applications, Puebla, México (September 2019).
  • CMV block matrix for symmetric matrices measures on the unit circle,  15th. International Symposium in Orthogonal Polynomials, Special Functions and its applications, Hagenberg, Austria, (July 2019).
  • On asymptotic properties of Sobolev orthogonal polynomials on the unit circle, 13th OPSFA, Gaithersburg, Unites States (June 2015).
  • Coherence relations for orthogonal polynomials on the unit circle, Constructive functions 2014, Nashville, United States (May 2014)
  • On asymptotic properties of multivariate orthogonal polynomials, International Symposium on Orthogonality, Quadrature, and related topics, Puerto de la Cruz, Tenerife, Spain (January 2014).
  • Orthogonal polynomials associated with coherent pairs, XI International Symposium on Approximation and Optimization at the Caribbean, Puebla, México (October 2013).
  • (1,1)-Coherent pairs on the unit circle, XIX Congreso Colombiano de Matemáticas, Barranquilla, Colombia (July 2013).
  • Sobolev orthogonal polynomials on the unit circle: asymptotic properties and zeros, 12th Orthogonal Polynomials, Special Functions and Applications (OPSFA), Sousse, Tunisia (March 2013).
  • Sobolev orthogonal polynomials on the unit circle: Zeros properties, XLV Congreso Nacional de Matemáticas, Querétaro, México (October 2012).
  • Perturbation of Laguerre-Hahn class linear functionals by Dirac delta derivatives, 11th Orthogonal Polynomials, Special Functions and Applications (OPSFA), Leganés, Madrid (August 2011).
  • Perturbations of OPUC by the addition of Dirac delta derivatives. International Conference on Applied Mathematics and Informatics, San Andrés Island, Colombia (December 2010).
  • Perturbations on the subdiagonal of Toeplitz matrices. I Jaén Conference on Approximation Theory, Úbeda, Jaén, Spain. (July 2010).
  • A diagonal perturbation of a Toeplitz matrix. Second South Texas Algebra Colloquium, South Padre Island, TX. (November 2009).
  • Laurent polynomial perturbation of linear functionals. An inverse problem.10th Symposium on Orthogonal Polynomials, Special Functions and Applications, Lovain, Belgium (July 2009).
  • Quadrature rules on the unit circle. Applications in frequency analysis. International Workshop in Approximation Theory and Signal Analysis, Lindau, Germany (March 2009).
  • Linear Spectral Transformations and Verblunsky Coefficients. International Workshop in Orthogonal Polynomials and Applications (IWOPA’08), Leganés, Spain (September 2008).
  • Szego transformation and rational spectral and transformations for associated polynomials. IX Internacional Conference on Optimization and Approximation in the Caribbean, San Andrés Island, Colombia (February 2008).
  • Rational Spectral Transformations of Measures on the Unit Circle and the Szego Transformation, Symposium on Special Functions, Information Theory and Mathematical Physics, Granada, Spain (September 2007).
  • Rational Spectral Transforms of Measures on the Unit Circle. 9th. International Workshop on Orthogonal Polynomials, Special Functions and Applications (OPSFA), Marseille, France (July 2007).
  • Spectral Transformations of Measures on the Unit Circle and the Szego Transformation. 10th European Workshop on Applications and Generalizations of Complex Analysis, Coimbra, Portugal (June 2007).

Seminars:

  • Stability of linear systems and orthogonal polynomials, IOPA Seminars, August 2020. Online.
  • Orthogonal polynomials: spectral transformations and matrix factorizations, Séminaire Analyse Numérique - Equations aux Dériveés Partielles at Lab. Paul Painlevé, Lille, France (May 2019).
  • Matrix characterizations of orthogonality on the real line, Coloquio FMAT-CIMAT, UADY, Mérida, México (January 2019)
  • Sobre la conexión de la teoría de polinomios ortogonales con la estabilidad de sistemas lineales, Coloquio del Instituto de Matemáticas, UNAM, CDMX, México (November 2017)
  • Polinomios ortogonales y su relación con teoría de control, Seminario UAT-RODHE, Universidad Autónoma de Tamaulipas, Reynosa, México (June 2017)
  • Polinomios ortogonales, una introducción a la teoría de transformaciones espectrales, Seminario del Departamento de Matemáticas, Universidad de Alcalá de Henares, España (February 2017)
  • On a relation between Hurwitz and orthogonal polynomials, GAMA Seminar,  Universidad Carlos III de Madrid, España (January 2017)
  • Sobre perturbaciones de matrices de momentos asociadas a medidas de ortogonalidad, Coloquio del Depto. de Matemáticas, UNAL, Colombia (December 2014).
  • Propiedades generales de polinomios ortogonales en la circunferencia unidad, Seminario de Polinomios Ortogonales, U. Nacional de Colombia, Colombia (August 2014).
  • Polinomios ortogonales en varias variables: propiedades algebraicas y analíticas, Seminario del Área de Ecuaciones Diferenciales y Geometría, UAM Iztapalapa, México (February 2014).
  • Una introducción a los polinomios ortogonales. Teoría de perturbaciones, Seminario del Posgrado en Matemáticas, UAM Iztapalapa, México (February 2014).
  • Orthogonal polynomials associated with coherent measures, Seminario IMUS, Universidad de Sevilla, Spain (February 2014).
  • Orthogonal polynomials on the unit circle and perturbations of Toeplitz Matrices, Colloquio Depto. De Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia (August 2012).
  • Polinomios ortogonales y perturbaciones de matrices de Toeplitz. Coloquio del Posgrado Conjunto en Ciencias Matemáticas UNAM-UMSNH, Morelia, México (October 2010).
  • Transformaciones espectrales y polinomios ortogonales: un enfoque matricial. Seminario de Geometría Algebráica IFM-UMSNH, Morelia, México (October 2010).
  • Polinomios ortogonales en la circunferencia unidad y transformaciones espectrales. Seminario CUICBAS, Universidad de Colima, Colima, México. (April 2010).
  • Spectral transformations for OPUC and factorization of Hessenberg matrices. Mathematics Seminar, UTB/TSC, Brownsville, TX. (November 2009).
  • Orthogonal polynomials on the unit circle and spectral transformations. Integrable Systems Seminar, UTPA, Edinburg, TX. (October 2009).
  • Rational spectral transformations and the Szego transformation. Seminario Rubio de Francia, Zaragoza, Spain (May 2008).