Ph.D. Math 2002, Probability
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
- Spring 2012:
- Math 352 Real Analysis and
- Math 540 Markov Chains and Markov Processes.
LaTeX Links
- New Exponential
- Convert pics to pdf transparent (doc)
- Latex Problems (dvi2pdf margins, etc)
- Complex Plane jpg, gif, pdf and tex source
General Links
- Writer of windows directory
- Maple has some problems
- A cards trick Math-Based
- Factoring a general quadratic
Templates Assignments
^Template Poster
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Customize logo, margin, color, footline: ^Publications
- Scoman: Scores Manager
March 2005, Maplesoft.com - An Extension of the Contraction Principle
Journal of Theoretical Probability, April, 2004 - A Visual Method to Add Fractions
Journal of Mathematical Sciences and Mathematics Education - A Large Deviation Principle for Stochastic Integrals
Journal of Theoretical Probability, December, 2007 - Limits of Stochastic Integrals
Advances and Applications in Statistics, Volume 10, Issue 2, Dec 2008 - 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) - Prime Decomposition Using Tools
Teaching Children Mathematics, 17(4), 256-259, in collaboration with Dr. Terri Kurz Arizona State University, Teaching Children Mathematics (2010) - 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) - Discovering Mexico Through Mathematics
Teaching Children Mathematics 18(8), 472-473 in collaboration with Dr. Terri Kurz Arizona State University, 2012 - Moving beyond factor trees
Mathematics Teaching in the Middle School, 18(1), 52-60, in collaboration with Dr. Terri Kurz Arizona State University, 2012 - 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 - 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 - A Fibonacci simple ecosystem: Prey and predator
Teaching Children Mathematics, February 2014, Volume 20, Issue 6, Page 392 - Exploring alternative base systems
Mathematics Teacher, in collaboration with Dr. Terri Kurz Arizona State University (accepted, to appear 2015) - Encouraging Optimization of Energy
Mathematics Teacher, (accepted, to appear 2015) - Maximal Unsolvable Pebbling Distributions
(in progress) - Rational Points in the Unit Square
in collaboration with CSUCI master student V. Moreno (in progress) - Reactions on Rigid Legs of Rectangular Tables
in collaboration with Fernando Barrera (UAEH,Mexico) and Greg Wood (CSUCI, USA) (in progress) - On the Graham conjecture
in collaboration with several CSUCI students (in progress) - Co-editor (with Terri Kurz) of iSTEM:
Integrating Science, Technology, and Engineering into the Mathematics Classroom department in Teaching Children Mathematics (2012-2014)