Associate Professor, Mathematics
Ph.D., Mathematics, Syracuse University, 2012
M.S., Syracuse University, 2008
B.S., Indiana University of Pennsylvania, 2006
Graph Theory
Calculus I-IV
Intro to Statistics
Real Analysis
Set Theory and Logic
Abstract Algebra
Topology
Probability Theory
Discrete Math
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 the advisor to the Math Society (our student math club), and am a lead supporting faculty for MCLA's Math Drop-in Center. I'm a faculty co-coordinator of Community Based Learning at MCLA. I also am in a Math Alignment group, connecting mathematics teachers and coordinators at the college and K-12 level in the Berkshires. My outside activities include travel, hiking, cooking vegetarian food, 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.
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
Fullerenes and Graphene Patches, Invited Speaker, Ontario Combinatorics Workshop, June 2017
Pairwise Incompatibility of Predictors of Stability for Graphene Patches, Canadian Discrete and Algorithmic Mathematics Conference, June 2017
Internal Kekule structures for Graphene and General Patches, Invited Speaker, Meeting of the International Academy of Mathematical Chemistry & International Conference on Mathematical Chemistry, July 2016
The Clar and Fries Numbers of Fullerenes and Benzenoids, Keynote Speaker, Computers in Scientific Discovery, July 2015
The Clar and Fries Structures of a Fullerene, 8th Slovenian Conference on Graph Theory, June 2015
The Kekule Count and Clar Number of Benzenoids, Canadian Discrete and Applied Mathematics Conference, June 2015
Kekulean Benzenoids, Society for Industrial and Applied Mathematics Conference, June 2014
The Clar Structure of a Fullerene, Canadian Discrete and Applied Mathematics Conference, June 2013
Self-Dual Plane Graphs with Maximum Degree 4, Society for Industrial and Applied Mathematics Conference, June 2012
