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Elizabeth HartungDr. Elizabeth Hartung

Associate Professor, Mathematics


About Me

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.

Research/Creative Interests

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

Talks and Presentations

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

Contact Information

Office: Bowman 105


Additional Links for

Math Drop-In Center

Community Based Learning at MCLA


Office Hours

Mondays, Wednesdays, and Fridays 10:00AM - 11:00AM

Other times by appointment or by chance

105 Bowman



Ph.D., Mathematics, Syracuse University, 2012

M.S., Syracuse University, 2008

B.S., Indiana University of Pennsylvania, 2006


Courses Taught

Graph Theory

Calculus I-IV

Intro to Statistics

Real Analysis

Set Theory and Logic

Abstract Algebra


Probability Theory

Discrete Math

Calculus for High School Teachers

Graph Theory for High School Teachers

Math for Elementary Educators