Department of Mathematics

B.S. in Mathematics at Universidad Central de las Villas, Cuba (2007). Outstanding Award and Award to Researching Student in Natural Science by the Cuban Academy of Sciences.

M.S. in Applied Mathematics at Universidad Central de las Villas, Cuba (2008). Outstanding Award.

M.S. in Mathematical Engineering at Universidad Carlos III, Spain (2010). Outstanding Award.

In 2009 I obtained a fellowship FPU, Ministry of Education. Spain.

1. K. Castillo, L. Garza and F. Marcellán, Relative and Szegö asymptotics for a discrete Sobolev inner product on the unit circle.
2. K. Castillo, R. L. Lamblém, F. R. Rafaeli and A. Sri Ranga, Szegö polynomials and para-orthogonal polynomials on the real line.

1. K. Castillo, L. Garza and F. Marcellán, A new linear spectral transformation associated with derivatives of Dirac linear functionals. (2010).
2. K. Castillo, D. K. Dimitrov and F. R. Rafaeli, Perturbations on the anti-diagonal of Hankel matrices. (2010).

1. K. Castillo, L. Garza and F. Marcellán, Perturbations on the subdiagonals of Toeplitz matrices, to appear in Linear Algebra Appl..
2. K. Castillo, L. Garza and F. Marcellán, Linear spectral transformations, Hessenberg matrices, and orthogonal polynomials, Rend. Circ. Mat. Palermo, (II),  82 (2010), 3-26.
3. K. Castillo, L. Garza and F. Marcellán, Laurent polynomials perturbations of linear functional. An inverse problem, Electron. Trans. Numer. Anal., 36 (2010), 83-98.