Facultad de Matemáticas
Renato Álvarez-Nodarse's web Page
Dpto. Análisis Matemático
Brief vitae and research interest
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.
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).