Currently, my mathematical interests center on wavelets, cocycles of an irrational rotation, and I recently have gotten interested in an elementary problem in polynomial approximations to inverse tangent.  My mathematics policy interests center on access issues to graduate mathematics education. 

Below  is a list of many of my mathematical/mathematics related publications; some are not yet published.  If the title is highlighted, you can download a Postscript or PDF version of it. (You can view and print Postcript files using a program called Ghostview; you can view PDF files using a program called Acrobat Reader which is usually already plugged into your browser, or which can be downloaded at the Adobe web site.) If you would like a hard copy of any of them or if you find an article in my CV that interests you and that is not in the list below, please write to me (hmedina@lmu.edu) with your request.

1. Unitary Operators Arising from Irrational Rotations on the Circle Group, Michigan Mathematical Journal, 41 (1994), 39 - 49.

2. On functions that are trivial cocycles for a set of irrationals, II , L.W. Baggett and K.D. Merrill co-authors, Proceedings of the American Mathematical Society, 124 (1996), 89-93.

3. Connections Between Additive Cocycles and Bishop Operators, Illinois Journal of Mathematics, 40 (3) (1996), 432-438.

4. Simultaneously Symmetric Functions, L.W. Baggett and K.D. Merrill co-authors, American Mathematical Monthly, 104 (6) (1997), 520-528.

5. Cohomology of Polynomials Under an Irrational Rotation, L.W. Baggett and K.D. Merrill co-authors, Proceedings of the American Mathematical Society, 126 (10) (1998), 2909 - 2918.

6. Generalized Multiresolution Analyses, and a Construction Procedure for all Wavelet Sets in Rⁿ, L.W. Baggett and K.D. Merrill co-authors, Journal of Fourier Analysis and Applications, 5 (6) (1999), 563 - 573.

7. The Diagonalizable and Nilpotent Parts of a Matrix, preprint.  

8. Doctorate Degrees in Mathematics Earned by Blacks, Hispanics/Latinos and Native Americans: A Look at the Numbers, Notices of the American Mathematical Society, 51 (7) (2004), 772 - 775.

9. A Sequence of Polynomials for Approximating Inverse Tangent, American Mathematical Monthly, 113 (2) (2006), 156-161.  
   Also available: A more complete version of the paper (including Mathematica code mentioned in the Monthly note).

10. Apuntes de la Teorķa de la Medida, Published at the Universidad de El Salvador, 2006.