Renato Alvarez-Nodarse

Web page

Updated:

April 23, 2013





Escucha

Related sites









Facultad de Matemáticas

Renato Álvarez-Nodarse's web Page


IMUS,   Universidad de Sevilla

Dpto. Análisis Matemático

Brief vitae and research interest

Running a half marathon in Bayreuth, May 2013

I have born in Havana, Cuba in 1968 where I have lived until 1987 when I moved to the former Soviet Union to study at the Physic Department of the Moscow State University M.V. Lomonosov (МГУ). I graduated in physics at МГУ in November 1992 and received the degree of Master Of Science in Mathematical-Physics (Thesis' title: The q-Analogue of the Vibron IBM Model and the Quantum Algebra SUq(1,1), advisor: Dr. Yuri F. Smirnov) also in November 1992. Then I moved to Spain in December 1992. I got my PhD Thesis on Mathematics Generalized Polynomials and q-Polynomials: Spectral Properties and Applications (in Spanish) (advisors: Dr Francisco Marcellán and Dr. Antonio García García) in June, 1996 at the Departamento de Matemáticas, Universidad Carlos III de Madrid where I was working untill September 1998. In April 1998, I was appointed as an associate professor of Analysis (Profesor Titular) at the Departamento de Análisis Matemático of the Facultad de Matemáticas (Universidad de Sevilla). At the end of January 2010 I was appointed as a full professor of Analysis (Catedrático) at the same Departament where I was working since October 1998.

The main topics in which I am interested are the Orthogonal Polynomials (OP) including the classical (COP) ones, the modification of COP by adding Dirac masses measures, discrete polynomials and q-polynomials. I am also interested in the properties (algebraic, spectral, etc) of OP, as well as in their application in several areas of Mathematical Physics (in particular the connection of the q-polynomials with the representation theory of q-algebras and groups, the q-Schrödinger equations, q-oscillators, etc.), Quantum Physics, Group Theory, etc; the connection and linearization problems involving hypergeometric polynomials (not necessarily orthogonal), among others. Also I am interested in the application of Mathematics to the Biological and Physical Sciences.

Here is my publication list and here my Google Scholar profile. To see my researcherid.com profile click here

 Google Scholar profile
Google Scholar profile

I am a member of the reserach group Orthogonal Polynomials and Approximation Theory as well as the Instituto de Matemáticas de la Universidad de Sevilla.

MSC 2000: 33Cxx Hypergeometric functions, 33Dxx Basic hypergeometric functions, 33Exx, Other special functions, 33Fxx Computational aspects, 39-XX Difference and functional equations, 42Cxx Nontrigonometric Fourier analysis. (see MSC 2010).


Site info: © 2009 Renato Álvarez-Nodarse | Original design by Andreas Viklund