David Gomez Ullate
Professor
Mathematics
Complutense University of Madrid
Spain
Biography
"David Gómez-Ullate Oteiza is Profesor Titular (tenured position) at Universidad Complutense. His research interests cover a collection of different fields, ranging from mathematical physics, to dynamical and complex systems, with emphasis on applications. In particular, he has worked in exactly solvable and integrable systems in mathematical physics, where his major contribution has been the discovery of exceptional orthogonal polynomials, a class of Sturm-Liouville orthogonal polynomials that have gaps in their degree sequence. In the theory of dynamical systems, he has contributed with a novel approach to the transition to chaos, based on the global properties of the Riemann surfaces associated to the solutions. More recently, he has been involved in several projects related to mathematical modelling, in collaboration with MDs and radiophysicists (modelling of blood flow on a vascular network) and economists (modelling of the high frequency returns of a financial index). Jack of all trades, master of none. Dr. Gómez-Ullate did his undergradute studies in Madrid and Kent (UK) and obtained his PhD in Physics from Universidad Complutense in 2001. He has held full-time research positions in the Centre de Recherches Mathématiques and McGill University (Montréal), the University of Bologna (Marie Curie fellowship) and the UPC in Barcelona (Ramón y Cajal fellowship), before returning to UCM, where he is tenured since 2009. He has coauthored 40 research papers in peer reviewed journals, including Communications in Mathematical Physics, Inverse Problems, New Journal of Physics, Journal of Mathematical Analysis and Applications, Foundations of Computational Mathematics, for a total h-index of 15. His first paper on exceptional orthogonal polynomials was featured as New Hot paper in Mathematics by Thomson Reuters in November 2010."
Research Interest
His research interests cover a collection of different fields, ranging from mathematical physics, to dynamical and complex systems, with emphasis on applications.
Publications
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Kamran N, Milson R. Exceptional orthogonal polynomials and the Darboux transformation. Journal of Physics A: Mathematical and Theoretical. 2010 Oct 12;43(43):434016.
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Gómez-Ullate D, Kamran N, Milson R. An extension of Bochner’s problem: exceptional invariant subspaces. Journal of Approximation Theory. 2010 May 31;162(5):987-1006.
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Gómez-Ullate D, Kamran N, Milson R. An extended class of orthogonal polynomials defined by a Sturm–Liouville problem. Journal of Mathematical Analysis and Applications. 2009 Nov 1;359(1):352-67.
