Education
- B.S. in Mathematics, University of Havana, 1986
- Ph.D. in Mathematics, Lomonosov Moscow State University, 1991
Employment
- Professor of Mathematics, Baylor University, since January 2018
- Full Professor, University of Almería (Nov 2007–Dec 2017)
- Associate Professor, University of Almería (1998–2007)
- Assistant Professor, University of Havana (1986–1994)
Visiting Appointments
- Visiting Professor, Universidad Autónoma de Madrid (1993)
- Visiting Professor, Universidad Carlos III Madrid (1994)
- Visiting Professor, University of South Florida (Jan–May 2000)
- Visiting Professor, Vanderbilt University (2003, 2014)
- Researcher, UNES, Brazil & Shanghai Jiao Tong University, China (2014–2016)
Other appointments and memberships
- 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, 2020-2024).
- 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 & Special Functions
- Riemann–Hilbert Problems
- Complex & Numerical Analysis
- Mathematical Modeling
Ph.D. Students
- Juan José Moreno Balcázar, "Analytic properties of continuous 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 Grants & Leadership
- "New trends in Constructive Approximation: Theory and Applications", research project PID2021-124472NB-I00 from Ministry of Science and Innovation of Spain and the European Regional Development Fund (ERDF). PI: Juan J. Moreno Balcázar and Luis Velázquez (University of Almería) (9/1/2022-5/31/2026).
- "Asymptotic methods for non-standard orthogonality," Simons Foundation Collaboration Grants for Mathematicians (grant MPS-TSM-00710499), 9/1/2021–8/31/2025. Principal Investigator: Andrei Martínez-Finkelshtein.
Editorial Activity
Member of the Editorial Board (present):- Computational Methods and Function Theory
- Journal of Approximation Theory
- Journal of Spectral Theory
- Surveys in Approximation Theory
- Constructive Approximation
Member of the Editorial Board or Advice Committee (past):
- Revista LLULL de la Sociedad Española de Historia de las Ciencias y de las Técnicas (1997-2013)
- Random Matrices (2011-2022)
- Journal of Mathematical Analysis and Applications (2019-2022)
- Mathematics of Computation (2017-2025)