EDUCATION:
- B.S. in Mathematics (1986), Havana University, Cuba
- Ph. D. in Mathematics (1991) State Moscow University "M.V.
Lomonosov", Russia
EMPLOYMENT:
- Assistant Professor, 1986-1994, Havana University, Cuba
- Visiting Professor, 1993, University Autonoma of Madrid, Spain
- Visiting Professor, 1994, University Carlos III of Madrid, Spain
- Adjunct Professor, 1994-June 1998, University of Almería, Spain
- Associate Professor (tenure-track position), June 1998-April
1999, University of Almería, Spain
- Adjunct Professor, January-May, 2000, Department of Mathematics,
University of South Florida, USA
- Associate Professor, April 1999-November 2007, University of
Almería, Spain
- Visiting Professor, August-December, 2003, Department of
Mathematics, Vanderbilt University, USA
- Visiting Professor, August-December, 2014, Department
of Mathematics, Vanderbilt University, USA
- Full Professor, November 2007 - present, University of Almería,
Spain.
- Visiting Researcher, 2014-2016, Instituto
de Biociências, Letras e Ciências Exatas (IBILCE), UNESP,
Brazil.
- Visiting Professor, 2014-2016, Department
of Mathematics, Shanghai Jiao Tong University, China.
- Professor of Mathematics, since 2018, Baylor
University, USA.
APPOINTMENTS AND MEMBERSHIP:
- Associated Member of
"Carlos I" Institute for Theoretical and Computational Physics
of Granada University (Quantum
Physics and Mathematics Group)
- Member of the
American Mathematical Society since 1993
- Member of the
Society for Industrial and Applied Mathematics (SIAM), since
1998, and of the SIAM
Activity Group "Orthogonal Polynomials and Special Functions"
(vice-chair of SIAG January 1, 2017 to December 31, 2019; Program
Director, January 1, 2020-present).
- Member of the
Spanish Society for History of Science and Technology since
1997
- Member of the
Real Sociedad Matemática Española since 1999
- Member of the
Spanish Society of Applied Mathematics (SEMA) since 2006
- Member of the Association
for
Research in Vision and Ophthalmology (ARVO) since 2009
- Member of the
Asociación Española de Tecnología y Cirugía de Implantes,
Refractiva y Córnea (ASETCIRC), 2009-2015
- Chairman of the research workgroup
"Approximation Theory and Orthogonal Polynomials", code FQM
0229 of Junta de Andalucía, 1995-2012.
- Coordinator
of the Area of Mathematics at the Spanish Grant National
Agency of Assessment (ANEP), and later, of the Division
of Coordination, Assessment and Scientific and Technical
Monitoring of the Spanish Research Agency (2015-2019).
- Founder and Director of R&D at Neurobia Research (2015-2018).
AREAS OF SPECIALIZATION:
- Approximation Theory, Orthogonal Polynomials and Special
Functions
- Numerical Analysis
- Complex Analysis
- Applications, in particular in human vision
Ph. D. STUDENTS:
-
Juan José Moreno Balcázar,
"Analytic properties of sontinuous Sobolev orthogonal
polynomials" (coadvised with Miguel Piñar), October 6, 1997.
-
Pedro Martínez Gonzalez,
"Methods of study of the zero asymptotics of special functions"
(coadvised with Alejandro Zarzo), July 4, 2001.
-
Pedro Lopez Artés,
"Entropies, potentials and linearization of hypergeometric
polynomials" (coadvised with Jesús Sánchez Dehesa), April 9,
2002.
- Joaquín Sánchez Lara, "Entropies of orthogonal polynomials",
July 2005.
- Vítor Luís Sousa, "The Riemann–Hilbert Method Applied to the
Theory of Orthogonal Polynomials" (coadvised
with Ana
Foulquié), University of Aveiro, January 17, 2011.
- Darío Ramos López, "Mathematical modelling in biomedical
optics and ophthalmology", University of Almería, May 12, 2014.
- Ana B. Castaño Fernández, "Some mathematical problems from the
biomedical optics and ophthalmology", University of Almería,
November 27, 017.
- Taylor Poe (Baylor University) , "Poncelet Polygons Through the
Lenses of Orthogonal Polynomials on the Unit Circle, Finite
Blaschke Products, and Numerical Ranges", June 17, 2021.
CURRENT RESEARCH PROJECTS WITH FINANCIAL SUPPORT:
-
"Constructive
Approximation: Analysis, Algorithms and Applications",
research project
MTM2017-89941-P
from
Ministry of Economy and Competitiveness of Spain and the
European Regional Development Fund (ERDF). PI: Andrei Martínez
Finkelshtein and Juan J. Moreno Balcázar
(University
of Almería)
(1/1/2018-12/31/2021).
- "Orthogonal
polynomials: analytic and functional methods, classical
and quantum applications", research
project
UAL18-FQM-B025-A, from the European Fund
for Regional Development (EFRD) and Junta de Andalucía. PI: Juan
J. Moreno Balcázar (10/1/2019--9/30/2021).
- "The Baylor Analysis Conference: From Operator Theory to
Orthogonal Polynomials, Combinatorics, and Number Theory",
NSF grant DMS-1952977.
Principal
Investigators: Fritz Gesztesy and Andrei
Martínez-Finkelshtein (1/1/2020-12/31/2020).
- "Asymptotic methods for non-standard orthogonality",
Simons Foundation Collaboration Grants for Mathematicians
(grant 710499), 9/1/2021–8/31/2025. Principal Investigator:
Andrei Martínez-Finkelshtein.
SOME EDITORIAL ACTIVITY:
Member of the Editorial Board:
