Professor, Mathematics
Ph.D., Mathematics, Syracuse University, 2012
M.S., Syracuse University, 2008
B.S., Indiana University of Pennsylvania, 2006
Graph Theory, Topology, Abstract Algebra, Real Analysis, Practicing Data Science, Probability Theory, Intro to Statistics, Statistics and Data Analysis, Proof I and II, Discrete Math, Calculus I-IV, 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. Currently, I am Chair of the mathematics department, the faculty coordinator of the Math Drop-in Center, and the faculty coordinator of QUAC (Quantitative Understanding Across the Curriculum). I am engaged in various aspects of our department, including the Math Society (our student math club). 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. 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. Recently, I have worked in combinatorial generation and computational geometery, including work with students.
Catalan Squares and Staircasese: Relayering and Repositioning Gray Codes, with Emily Downing (MCLA student), Stephanie Einstein, and Aaron Williams, Canadian Conference on Computational Geometry, 2023.
The Clar Numbers of Carbon Nanotubes, with Jack Graver, MATCH Commun. Math. Comput. Chem., 2022.
Clar and Fries structures for fullerenes, with Patrick Fowler, Wendy Myrvold, Rebecca Vandenberg, and Jack Graver. ADAM (The Art of Discrete and Applied Mathematics), 2022.
Resonance Structures and Aromaticity in Capped Carbon Nanotubes, with Jack Graver and Aaron Williams, Carbon, 2021.
Combinatorial Generation via Permutation Languages I. Fundamentals, with Hung Hoang, Torsten Mutze, and Aaron Williams, Transactions of the American Mathematical Society, 2021.
Combinatorial Generation via Permutation Languages, with with Hung Hoang, Torsten Mutze, and Aaron Williams, SODA (Symposium on Discrete Algorithms) 2020.
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 (MCLA student), J. Foos, A. Nelson (MCLA student), 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
