Manuel Domínguez de la Iglesia

Mailing address:

251 Mercer Street,

New York, NY 10012, U.S.A.

Office #: 828

Telephone: (+1) 212-998-3166; Fax: (+1) 212-995-4121

E-mail: mdi29[at]cims.nyu.edu

Curriculum vitae

Research

Publications:

• F. A. Grünbaum and M. D. de la Iglesia, 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. .

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

• F. A. Grünbaum and M. D. de la Iglesia, 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.

• A. J. Durán and M. D. de la Iglesia, Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions, Internat. Math. Research Notices, Vol. 2008, Article ID rnn084, 24 pages.

Talks:

• 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. September 1st, 2006.

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

• New phenomena on examples of orthogonal matrix polynomials satisfying differential equations . 2007 AMS Spring Western Section Meeting. Tucson, Arizona (USA), April 22-23, 2007.

• Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions. Special Functions, Information Theory and Mathematical Physics. Granada, Espańa, September 17-19, 2007.

• Matrix valued orthogonal polynomials satisfying differential equations. XX Congreso de Ecuaciones Diferenciales y Aplicaciones. X Congreso de Matemática Aplicada. Sevilla, September, 24-28, 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. New York, March, 11, 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, May, 20, 2008.

• Methods and applications of orthogonal matrix polynomials satisfying differential equations. Seminar Classical Analysis. Katholieke Universiteit Leuven. Leuven, June, 11, 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, September, 8, 2008.

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

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, May, 15, 2008.

PhD Thesis

• PhD thesis: Differential properties of families of matrix orthogonal polynomials and applications (spanish). Reviewed version (July 2008).
• Defense (spanish). February 21st 2008.