Research
Interests
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Enumerative Combinatorics
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Number Theory
Published Articles
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On Injectivity
of the Combinatorial Radon Transform of Order 5; Journal of Computational
and Applied Mathematics; Volume 83 (1997), 251 - 255.
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A Gamma Function
Inequality, The American Mathematical Monthly, Volume 105, Number 4
(1998), 376.
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A Sum of a
Sequence of Floors and Ceilings, Mathematical Magazine, Volume 71,
Number 5 (1998), 390 - 391.
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Examples of
Noninjectivity for the Combinatorial Radon Transform, Journal of Difference
Equations and Applications, Volume 5 (1999), 319-322.
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On Disjoint
Covering Systems With Precisely One Repeated Modulus,
Advances in Applied
Mathematics, Volume 23 (1999), 322 - 332.
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Valleyless
Sequences, Congressus Numerantium, Volume 145 (2000), 33 - 42.
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Skew Diagrams
and Ordered Trees, Advances in Applied Mathematics, Volume 27 (2001),
671 - 681.
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K-Trees and
Applications, Annals of Combinatorics, Volume 6 (2002), 375 - 382.
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k-Trees and
Catalan Identities, Congressus Numerantium, Volume 165 (2003), 39 -
49.
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A Bijective
Proof of a Tennis Ball Problem, Bulletin of the ICA, Volume 41 (2004),
89 - 95.
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On Generalizing
Motzkin Numbers using k-Trees, Ars Combinatoria, to appear in the October
2008 issue.
Recent
Research Presentations
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ALTENCOA
3, Universidad Industrial de Santander, Bucaramanga, Colombia, July
2008.
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Tarde de Algebra,
Universidad de Antioquia, Medellin, Colombia, July 2008.
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Mathematics Colloquium,
Colgate University, Hamilton, NY, November 2007.
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6th International
Conference on Lattice Path Combinatorics, Eastern Tennessee University,
Johnson City, TN, July 2007.
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37th Southeastern
International Conference on Graph Theory, Combinatorics and Computing,
Florida Atlantic University, Boca Raton, FL, March 2006.
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INTEGERS Conference,
University of West Georgia, Carrollton, GA, October 2005.
Research
Works in
Progress
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Applications of
K-Trees to noncrossing partitions and parking functions.
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Combinatorial
Identities and Tautologies in Conjunctive Normal Form.
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Covering Congruences
in Higher Dimensions.
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