Gabe Cunningham
Bio
Gabe Cunningham received his Bachelor's of Science in Mathematics at the Massachusetts Institute of Technology in 2005, and his Ph. D. in Mathematics from Northeastern University in 2012. He was a Lecturer in the Mathematics Department at the University of Massachusetts in Boston for 10 years before joining Wentworth as an Associate Professor of Mathematics in 2022.
Gabe's mathematical interests include graph theory, group theory, and related topics. He has a special love for math that is accessible and playful, which he frequently shows to students in first-year classes.
Education
Accomplishments
* Member of the Editorial Board of Mathematics Magazine (January 2024 - Present)
* Plenary talk "Navigating data on polytopes and maps" at the international Symmetries in Graphs, Maps, and Polytopes conference, July 2022
Research Interests
My research is in the areas of discrete geometry, combinatorics, graph theory, and combinatorial and finite group theory. I work in the area of abstract polytopes on extremal problems (“Find the smallest abstract polyhedron with p-gonal faces meeting q at each vertex”), classification problems (“Describe all 3-orbit skeletal polyhedra”), and properties of combinatorial and algebraic constructions applied to polytopes (“Determine the structure of the smallest regular 4-polytope that covers the pyramid over a polyhedron”). I am also co-developing a software package for the computer algebra system GAP that facilitates computations with abstract polytopes and related objects.
I have also recently started a research program with Igor Minevich where we are studying "Graph Powers of Groups", a wide-ranging generalization of the "Lights Out" game but where the state of each vertex is taken from an arbitrary group.