Student Research
Here you may find information about previous projects students have worked on under my supervision. Scroll down for information about projects in which you could get involved.
Publications in which I am a co-author
With N. Abarzua & R. Pomareda. Feet in Orthogonal-Buekenhout-Metz Unitals. Advances in Geometry 18 (2018), Issue 2, Pages 229–236. pdf.
With J. Elder. A Note on the Factorization of Permutations into Cycles. International Electronic Journal of Algebra 22 (2017), 125-132. pdf.
With R. Adams, J. Dixon, J. Elder, J. Peabody & K. Willis. Combinatorial Analysis of a Subtraction Game on Graphs. International Journal of Combinatorics vol. 2016, Article ID 1476359, 8 pages. pdf.
With J. Hauschild & J. Ortiz. On the Levi Graph of Point-Line Configurations. Involve, a Journal of Mathematics 8 (2015), no. 5, 893-900. pdf.
With K. Mellinger & R. Vaughn. Graphs Embedded into Finite Projective Planes. Contributions to Discrete Mathematics 10 (2015), no. 1, 113-125. pdf.
With I. Birnbaum, R. McDonald, M. Kuneli & K. Urabe. The well-covered dimension of products of graphs. Discussiones Mathematicae Graph Theory 34 (2014), no. 4, 811-827. pdf.
With E. Aceves, D. Heywood & A. Klahr. Cycles in Projective Spaces. Journal of Geometry 105 (2014), no. 1, 111-117. pdf.
With J. Peabody & J. White. Cycles, wheels, and gears in finite planes. Contributions to Discrete Mathematics 8 (2013), no. 2, 75-87. pdf.
Student publications
H. Harris. The Coloring Graph of Complete Graphs. The PUMP Journal of Undergraduate Research. 2 (2019). 150-160. pdf
E. Gonzalez. Commuting Graphs of Split Metacyclic Groups. The PUMP Journal of Undergraduate Research. 1 (2018). 62-67. pdf
S. Barretto, J. Basi, and M. Miyake. Grim on Complete Multipartite Graphs. The PUMP Journal of Undergraduate Research. 1 (2018). 48-61. pdf
J. Burdick. A Note on Graphs With Characteristic-Dependent Well-Covered Dimension. The Rose Hulman Undergraduate Math Journal. 17 (2016), no. 1. 146-157. pdf
G. Clemente. Graphs with minimal well-covered dimension. The Rose Hulman Undergraduate Math Journal 15 (2014), no. 2. 38-53. pdf
D. Holden. Results on the 3x+1 and 3x+d conjectures. Fibonacci quarterly 49 (2011), no. 2. 131-133. pdf
In progress
Raul Reynoso and Luis Vega. Mathematical analysis of Tsuro-like games.
Grace Burton. The multiplier sequences over finite fields.
Future Projects
My areas of expertise are Finite Geometries, Combinatorics, and other topics in discrete mathematics and geometry. I can also supervise projects that involve Abstract Algebra, Graph Theory, etc. Here is a list of projects in which you could get involved.
Multiplier sequences over rings.
The topological symmetry groups of graphs in the K_7 family.