About Research

Interest

Anything with Algebra; Algebra, Combinatorics, Algebraic Combinatorics, Combinatorial Algebra, Graph Theory, Cryptography, Game Theory, Prime Numbers, Puzzles, Graph Pebbling, Universal Algebra, Music, Human and Alien being, etc.

Paper

· (With J.R.Cho) Bounds on the Size of Orbits of the Permutation Groups with bounded movement, M.S. thesis.

· (With J.D.H. Smith) Orbit Decomposition in the Distinct and Bi-restricted Power of a Permutation Representation, ISU Math. Rep., 00-18, 2000

· (With J.D.H. Smith) The Tri-restricted Numbers and Powers of Permutation Representations, J. Comb. Math. Comb. Comp. 42 (2002), 113-125.

· (With DeAlba, Hogben, Maxwell, Wangsness) The P_0-matrix completion problem ELA 9 (2002), 1-20.

· (With J.D.H. Smith) On the Unimodality and Combinatorics of the Bessel Numbers, Discrete Math., 264 (2003), 45-53.

· (With DeAlba, Hogben, Kivunge, Nordstrom, Shedenhelm) The Nonnegative P0-Matrix Completion Problem ELA 10 (2003), 46-59.

· (With J.D.H. Smith) On the combinatorics of multi-restricted numbers, Ars. Com., 75(2005), pp. 44-63.

· (with Long, Ng, Smith) Reciprocity for Stirling and multirestricted numbers , J. Comb. Th., Ser. A, 113 (2006), 1050-1060

· (with J.D.H. Smith) Recurrences for Tri-restricted numbers, J. Comb. Math. Comb. Comp. 58 (2006) 3-11

· Multir-restrained Stirling numbers, accepted by Ars. Com., preprint

Undergraduate Research at Shippensburg

· Justin Baker Graph Pebbling numbers of the cycles attached an edge, (2004-2005)

Math elsewhere

· American Mathematics Society (AMS)

· The Mathematical Association of America (MAA)

· Combinatorics and Algebra Seminar at ISU