Manuel Domínguez de la Iglesia

Dirección postal:

Apartado de Correos 1160,

Sevilla E-41080, Spain.

Despacho #: 39.02 (junto a secretaría)

Teléfono: (+34) 954559562; Fax: (+34) 954557972

E-mail: mdi29[at]us.es

Currículum vitae

DOCENCIA

Líneas de investigación

Publicaciones:

• Matrix valued orthogonal polynomials related to SU(N+1), their algebras of differential operators and the corresponding curves, Exp. Math. 16, No. 2, (2007), 189-207 (con F. A. Grünbaum). .

• Some examples of orthogonal matrix polynomials satisfying odd order differential equations, J. Approx. Theory 150, No. 2, (2008), 153-174 (con A. J. Durán). .

• Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes, SIAM J. Matrix Anal. Applic. 30, No. 2 (2008), 741-761 (con F. A. Grünbaum).

• Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions, Internat. Math. Research Notices, Vol. 2008, Article ID rnn084, 24 pages (con A. J. Durán). ArXiv

• A note on the invariant distribution of a quasi-birth-and-death process, J. Phys. A: Math. Theor. 44 (2011) 135201 (9pp). ArXiv

• Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions, J. Approx. Theory 163, No. 5, (2011), 663--687. ArXiv

• Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization, SIGMA 7 (2011), 098, 31 pages (con F. A. Grünbaum y A. Martínez-Finkelshtein).

• Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model, J. Math. Anal. Appl. 393 (2012), 239-255. ArXiv

• Principal dynamical components, Comm. Pure Appl. Math. 66 (2013), no. 1, 48–82 (con Esteban Tabak). ArXiv

• Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials, aceptado en Communications in Mathematical Physics (con Mattia Cafasso). ArXiv

Charlas:

• Matrix valued orthogonal polynomials related to SU(N+1), their algebras of differential operators and the corresponding curves. Recent trends in Contructive Approximation Theory. Universidad Carlos III de Madrid. 1 de Septiembre de 2006.

• Some examples of orthogonal matrix polynomials satisfying odd order differential equations . 12th International Conference in Approximation Theory. San Antonio, Texas (USA). Marzo 4-6, 2007.

• New phenomena on examples of orthogonal matrix polynomials satisfying differential equations . 2007 AMS Spring Western Section Meeting. Tucson, Arizona (USA), 22 de Abril, 2007.

• Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions. Special Functions, Information Theory and Mathematical Physics. Granada, España, 18 de Septiembre, 2007.

• Matrix valued orthogonal polynomials satisfying differential equations. XX Congreso de Ecuaciones Diferenciales y Aplicaciones. X Congreso de Matemática Aplicada. Sevilla, 24-28 Septiembre, 2007

• Differential properties of some families of matrix valued orthogonal polynomials and applications. Random matrices and integrable systems working seminar. Courant Institute of Mathematical Sciences. Nueva York, 11 de Marzo, 2008.

• The convex cone of weight matrices associated with a symmetric second order differential operator: some examples. Workshop on orthogonal polynomials and special functions. Katholieke Universiteit Leuven. Leuven, 20 de Mayo, 2008.

• Methods and applications of orthogonal matrix polynomials satisfying differential equations. Seminar Classical Analysis. Katholieke Universiteit Leuven. Leuven, 11 de Junio, 2008.

• A family of quasi-birth-and-death processes coming from the theory of matrix valued orthogonal polynomials. International workshop on orthogonal polynomials and approximation theory. Universidad Carlos III de Madrid. Leganes, Madrid, 8 de Septiembre, 2008.

• Riemann-Hilbert techniques in the theory of orthogonal matrix polynomials. XI Encuentros de Analisis Real y Complejo. Chinchon, Madrid, 9 de Mayo, 2009.

• Methods and new phenomena of orthogonal matrix polynomials satisfying differential equations. 13th International Conference in Approximation Theory. San Antonio, Texas. 9 de Marzo, 2010.

• Differential properties of orthogonal matrix polynomials. International Congress of Mathematicians. Hyderabad, India. 21 de Agosto, 2010.

• Differential properties of orthogonal matrix polynomials. I Encuentro Nacional de Jóvenes Investigadores en Matemáticas. Universidad de Sevilla. 3 de Septiembre, 2010.

• Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions. Congreso de la Real Sociedad Matemática Española 2011. Ávila, Febrero 1-5, 2011.

• Bivariate Markov processes and matrix orthogonality. 11th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Universidad Carlos III de Madrid, 1 de septiembre de 2011

• Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization. Seminario. Université d'Angers. Angers, Francia, 17 de abril de 2012.

• A variant of the Wright-Fisher diffusion model coming from the theory of matrix-valued spherical functions. 1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies. Lieja, Bélgica, 7 de junio de 2012

• Algebraic aspects of the Riemann-Hilbert problem for matrix orthogonal polynomials. Orthogonal Polynomials and Special Functions: a Complex Analytic Perspective. Copenhague, Dinamarca, 12 de junio de 2012

• Integral equations and representations of some Hermite-type families of orthogonal matrix polynomials. Congreso de la Real Sociedad Matemática Española 2013. Santiago de Compostela, España, enero de 2013.

• Integral representations of some Hermite type matrix-valued kernels and non-commutative Painlevé equations. Primer Encuentro de la Red de Polinomios Ortogonales y Teoría de Aproximación ORTHONET 2013. Logroño, España, Febrero de 2013.

Posters:

• A family of quasi-birth-and-death processes coming from the theory of matrix valued orthogonal polynomials. 3emes Journees Approximation. Universite de Lille 1. Lille, 15 de mayo de 2008.

• A variant of the Wright-Fisher diffusion model coming from the thoery of matrix-valued spherical functions. III Iberoamerican Workshop on Orthogonal Polynomials and Applications. Sao José do Rio Preto, Brasil, Mayo de 2013.

Tesis doctoral

• Tesis doctoral: Propiedades diferenciales de familias de polinomios ortogonales matriciales y aplicaciones. Versión revisada (Julio 2008).
• Defensa de la tesis doctoral. 21 de febrero de 2008.