I obtained a bachelor degree in Physics at Havana University, Cuba, in 1996, and defended my Ph.D. in Mathematics at University Carlos III in Madrid, Spain, in 2004. The thesis was awarded an extraordinary prize as the most significant thesis defended in the program during the years 2004-2005. Rational approximation theory has been my main area of research. I have studied: the convergence of simultaneous rational approximants of vector analytic functions, the asymptotic behaviour of the sequences of multiple orthogonal polynomials determined by them, applications to simultaneous quadrature formulae, and integrable systems. I have also researched in variational calculus. I have published 15 research papers covering these topics. Most of my publications appear in specialized journals highly ranked in the JCR list, such as Constructive Approximation, Advances in Mathematics, and Inverse Problems. My most relevant mathematical result (together with my former Ph.D. advisor) is the solution of a problem which had been open for 30 years concerning a certain type of Chebyshev systems. I have collaborated with 11 co-authors from 5 different institutions namely, University Carlos III in Madrid, Castilla La Mancha University, Universities of Aveiro and Coimbra, and Catholic University of Leuven. According to MathSciNet, my publications have been cited 50 times by 30 different authors. I have been member of 9 research projects funded by different entities such as University Carlos III in Madrid, Comunidad de Madrid, the Spanish Ministry of Economy and Innovation, European Union, and NATO. I have taken part in 35 International Conferences being invited speaker at the International Symposium of Orthogonal Polynomials, Special Functions, and Applications, 2011. I have been a member of the organizing committees of 4 International Conferences and the organizer of the weekly seminars of our research group at Carlos III University, Mathematics Department, during the years 2010-12.