Research & Publications
My research is in the fields of combinatorics and graph theory, with recent emphasis on algebraic graph theory and enumeration in infinite graphs.
My Ph.D. dissertation was titled Growth of Tessellations, written under the direction of Dr. Mark E. Watkins at Syracuse University.
Publications in press
Growth of face-homogeneous tessellations (with M. E. Watkins). Ars Mathematica Contemporanea 14 no. 2 (2017), pp. 285-318. (Full paper with Appendix at the arXiv)
Vertex-minimal graphs with dihedral symmetry (with C. Graves and L.-K. Lauderdale), Discrete Mathematics 340 (2017), pp. 2573-2588.
Smallest graphs with given generalized quaternion automorphism group (with C. Graves and L.-K. Lauderdale). Journal of Graph Theory (2017).
Counting Symmetric and Near-symmetric Fullerene Patches (with C. Graves), Journal of Mathematical Chemistry, 2014.
Fullerene Patches II (with J. Graver and C. Graves). Ars Mathematica Contemporanea 7 (2014), 405-421.
Tessellations with arbitrary growth rates. Discrete Mathematics 310 no. 17-18 (2010), pp. 2435-2439.
Growth of edge-homogeneous tessellations (with T. Pisanski and M. E. Watkins). SIAM Journal on Discrete Mathematics (2008) vol. 23 (1) pp. 1-18
Refereeing
I have refereed for the Journal of Graph Theory, the Journal of Combinatorics Series B, and Ars Mathematica Contemporanea.