Ph.D., Mathematics, Syracuse University, 2012
M.S., Syracuse University, 2008
B.S., Indiana University of Pennsylvania, 2006
Intro to Statistics
Set Theory and Logic
Calculus for High School Teachers
Graph Theory for High School Teachers
Math for Elementary Educators
I love teaching in our close-knit department and enjoy the wide variety of courses that I teach. I am engaged in various aspects of our department, including the Math Society (our student math club), and the Math Drop-in Center. I live in North Adams with my partner and our son. My outside activities include travel, hiking, cooking, and making pottery.
My research is in graph theory, especially chemical graph theory and planar graphs. Currently, I study fullerenes and benzenoids, which are graphical representations of carbon molecules. I often involve students in this research through independent studies or special topics courses.
Resonance Structures and Aromaticity in Capped Carbon Nanotubes, with Jack Graver, Carbon, 2021.
Combinatorial Generation via Permutation Languages I. Fundamentals, With Hung Hoang, Torsten Mutze, and Aaron Williams, Transactions of the American Mathematical Society, 2021.
The Combinatorial Structure of Graphene, with Jack Graver, Wiley Publishing, 2019.
Pairwise Disagreements of Kekule, Clar, and Fries Numbers for Benzenoids: A Mathematical and Computational Investigation, with J. Chapman, J. Foos, A. Nelson, A. Williams, MATCH Commun. Math. Comput. Chem., 2018
The Clar and Fries Structures of a Fullerene I, with Jack Graver, Discrete Applied Mathematics, 2016
Internal Kekule structures for Graphene and General Patches, with Jack Graver, MATCH Commun. Math. Comput. Chem., 2016
Clar Chains and a Counterexample, Journal of Mathematical Chemistry, 2014
Kekulean Benzenoids, with Jack Graver, Journal of Mathematical Chemistry, 2014
Self-Dual Spherical Grids, with Jack Graver, The Electronic Journal of Combinatorics, 2014
Fullerenes with Complete Clar Structure, Discrete Applied Mathematics, 2013
Clar and Fries Numbers for Benzenoids, with Jack Graver and Ahmed Souid, Journal of Mathematical Chemistry, 2013
The Clar Structure of Fullerenes, Ph.D. Thesis, Syracuse University, 2012