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Ph.D. Math 2002, Probability

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Research Interests

I studied my B.S. Math at National University of Mexico, my M.S. at the Center for Research and Advanced Studies (CINVESTAV) from National Polytechnic Institute (IPN) and my Ph.D. at the University of Wisconsin-Madison. My area of interest is Large Deviations, a branch of Probability. I am also doing research in the area of Risk Theory. My secondary research interest is Pebbling as well as Number Theory and Math Education.

Teaching

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Publications

  1. Scoman: Scores Manager
    March 2005, Maplesoft.com
  2. An Extension of the Contraction Principle
    Journal of Theoretical Probability, April, 2004
  3. A Visual Method to Add Fractions
    Journal of Mathematical Sciences and Mathematics Education
  4. A Large Deviation Principle for Stochastic Integrals
    Journal of Theoretical Probability, December, 2007
  5. Limits of Stochastic Integrals
    Advances and Applications in Statistics, Volume 10, Issue 2, Dec 2008
  6. Helping a Young Child Connect Fact Family Addition and Subtraction using Tools
    in collaboration with Dr. Terri Kurz Arizona State University and H. Bahadir Yanik Anadolu University, 10th (Anniversary!) International Conference, "Models in Developing Mathematics Education" September, 2009, Dresden, Saxony, Germany (2009)
  7. Prime Decomposition Using Tools
    Teaching Children Mathematics, 17(4), 256-259, in collaboration with Dr. Terri Kurz Arizona State University, Teaching Children Mathematics (2010)
  8. Going Green and Recycling using Math
    Teaching Children Mathematics 17(3), 138-9, in collaboration with Dr. Terri Kurz Arizona State University, Math by the Month (2010)
  9. Discovering Mexico Through Mathematics
    Teaching Children Mathematics 18(8), 472-473 in collaboration with Dr. Terri Kurz Arizona State University, 2012
  10. Moving beyond factor trees
    Mathematics Teaching in the Middle School, 18(1), 52-60, in collaboration with Dr. Terri Kurz Arizona State University, 2012
  11. The complexities of teaching prime decomposition and multiplicative structure with tools to preservice elementary teachers
    Journal of Research in Education 22(2), 169-193, in collaboration with Dr. Terri Kurz Arizona State University, 2012
  12. Applications of Mogulskii, and Kurtz-Feng Large Deviation Results to Risk Reserve Processes with Aggregate Claims
    in collaboration with Dr. Ana Meda from National University of Mexico, Scientific Research Publishing, 2012
  13. A Fibonacci simple ecosystem: Prey and predator
    Teaching Children Mathematics, February 2014, Volume 20, Issue 6, Page 392
  14. Exploring alternative base systems
    Mathematics Teacher, in collaboration with Dr. Terri Kurz Arizona State University (accepted, to appear 2015)
  15. Encouraging Optimization of Energy
    Mathematics Teacher, (accepted, to appear 2015)
  16. Maximal Unsolvable Pebbling Distributions
    (in progress)
  17. Rational Points in the Unit Square
    in collaboration with CSUCI master student V. Moreno (in progress)
  18. Reactions on Rigid Legs of Rectangular Tables
    in collaboration with Fernando Barrera (UAEH,Mexico) and Greg Wood (CSUCI, USA) (in progress)
  19. On the Graham conjecture
    in collaboration with several CSUCI students (in progress)
  20. Co-editor (with Terri Kurz) of iSTEM:
    Integrating Science, Technology, and Engineering into the Mathematics Classroom department in Teaching Children Mathematics (2012-2014)

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