My research interests are: Analytic number theory, special functions, quasi-orthogonal polynomials, semiclassical orthogonal polynomials, Sobolev-type orthogonal polynomials, approximation theory, and linear algebra. 
Ph.D. thesis
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PhD Thesis: "Polinomios ortogonales respecto a medidas q-discretas. Aplicaciones",
Madrid, UC3M, 2007
(In Spanish) -- Table of examples-- CUM LAUDE
[Advisor: R. Álvarez-Nodarse, deposit: February 19th, 2007, disertation: April 13th, 2007] -
Advanced Studies Certificate: q-Polinomios ortogonales,aproximación de Hermite-Padé y Teoría de números. UC3M, January 2005. (In Spanish)
- Tesina: Polinomios ortogonales, aproximaciones de Padé y Teoría de números.
Seville, June 2000.(In Spanish)
Scientific papers(see also list of publications in Mathematical Reviews and Science Direct (search by R.S. Costas-Santos))
Preprints (in Arxiv): Click here to see some of my preprints.
A full list of Arxiv files which I use (or I have used) for my research can be founded here.
My last Contributions:
- Short talk in RCTM'08 meeting in Honor of Robert C. Thompson: Santa Barbara, CA, October 18, 2008.
- Short talk in IWOPA'08 conference in honor of Guillermo López Lagomasino.
Leganes, Madrid. September 8 to 12 of 2008. - Recent Trends in Constructive Approximation Theory. Leganes, Madrid. August 30-31, September 1, 2006
- 9th Workshop on Applications and Generalizations of Complex Analysis. Coimbra, Portugal. July 1, 2006.
- Progress on difference equations 2006. Homburg, Germany. March 5-9, 2006.
Teaching experience (Recitation courses at UC3M and at College of WIlliam and Mary)
- Math 111 Calculus I (1 semester) 2 groups -- Single variable -- Syllabus
- Math 112 Calculus II (1 semester) 2 groups -- Theory of integration (single variable) -- Syllabus
- Math 490 Seminar on Mathematics (with Prf. Charles R. Johnson) (1 semester)
- Calculus I (Real Analysis), Department of Mathematics (1 semesters)
- Laboratory of Calculus II, Department of Mathematics (1 semesters)
- Linear Algebra, Department of Mathematics (3 semesters)
- Introduction to MatLab in Linear Algebra and Calculus, Department of Mathematics (3 semesters)
- Complementary Mathematics, Department of Mathematics (1 semester)
- Laboratory of Computational Mathematics, Department of Mathematics (2 semesters)
- Reviewer for Mathematical Reviews: 15+1 Reviews, 2004-
- Referee for SIAM and JCAM
- Editor of Book of abstracts of the International meeting in Honor of Robert C. Thompson: RCTM'08
Santa Barbara, CA, October 18, 2008.
- Visiting assistant professor at College of William and Mary. Course 2007/08
- Editor of Book of abstracts of the International meeting: Recent Trends in Constructive Approximation Theory. Leganes, Madrid. 2006
- Representative of students of the third cycle of the department of mathematics at UC3M.
Nov. 2005 - Sep. 2007
Membership
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Member of American Mathematical Society since June 2008,
My last extra-activities
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Committee organizer and webmaster of the meeting in Honor of Robert C. Thompson: RCTM'08
Santa Barbara, CA, October 18, 2008. -
Webmaster of the Department of Mathematics at the UC3M. 2005-2008
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Committee organizer and webmaster of the International meeting: Recent Trends in Constructive Approximation Theory.
Leganes, Madrid. August 30-31, September 1, 2006.
Further events
- 10th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Katholieke Universiteit Leuven, Belgium. July 20 to July 25, 2009.
My favorite constants
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π=3.14159265358979323846264338327950288419716939937510...
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Euler's constant γ=0.57721566490153286060651209008240243104215933593992...
My toys
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Zeta functions open problems is a collection of preprints related with the study of values of the Riemann zeta function at positive integers and Riemann hypothesis.
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The photography and manage my personal blog.
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Microsoft Visual Studio .NET, Macromedia Flash, C programming.
Mailing address
University of California, Santa Barbara
South Hall Room 6607
Santa Barbara, CA 93106, USA
Started on January 30, 2006
