Scholarly Activity

Peer-Reviewed Publications

Finding Permutiples of a Known Base and Multiplier, INTEGERS Electronic Journal of Combinatorial Number Theory 25, #A13, 2025. DOI: 10.5281/zenodo.14907289
A Method for Finding All Permutiples with a Fixed Set of Digits from a Single Known Example, INTEGERS Electronic Journal of Combinatorial Number Theory 24, #A88, 2024. DOI: 10.5281/zenodo.13909168
On Permutiples Having a Fixed Set of Digits, INTEGERS Electronic Journal of Combinatorial Number Theory 17, #A20, 2017. DOI: 10.5281/zenodo.10636163
Derived Palintiple Families and Their Palinomials, INTEGERS Electronic Journal of Combinatorial Number Theory 16, #A27, 2016. DOI: 10.5281/zenodo.10478340
Some General Results and Open Questions on Palintiple Numbers, INTEGERS Electronic Journal of Combinatorial Number Theory 14, #A42, 2014. DOI: 10.5281/zenodo.10452425
Deriving Divisibility Theorems with Burnside’s Theorem (with Tyler J. Evans), INTEGERS Electronic Journal of Combinatorial Number Theory 5(1), #A26, 2005. DOI: 10.5281/zenodo.7727079

Utilizing the Reflective Symmetry of the Mother Graph in Finding New Permutiple Classes from Old, submitted for review to INTEGERS Electronic Journal of Combinatorial Number Theory, preprint available at arXiv: arXiv.
A Multigraph Characterization of Permutiple Strings, submitted for review to INTEGERS Electronic Journal of Combinatorial Number Theory, preprint available at arXiv: arXiv.

Performed peer review of an article submitted to the Fibonacci Quarterly in March 2025.
Performed peer review of an article submitted to the Fibonacci Quarterly in May 2025.

Digit Preserving Multiplication in Continued Fraction Representations, arXiv:1702.04760.
Some Thoughts on Determining Symmetric Palintiples, arXiv:1410.2356, 2015.
A Hybrid Cellular Automaton Model of Smoldering in Forest Floor Duff, Unpublished Paper with Elizabeth A. Burroughs, J. Morgan Varner III, and Christopher J. Dugaw, 2009.
A Stochastic Spatial Model for the Consumption of Organic Forest Soils in a Smoldering Ground Fire (Master's Thesis), Humboldt State University, 2008.
Group Actions in Number Theory, (with Tyler J. Evans) arXiv:math/0508396, 2005.