Gabe Cunningham

My research is in the areas of discrete geometry, combinatorics, 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.

As an educator, I fill my classroom with humor and hands-on practice. I can't resist sharing cool things with my students, and I'm happy to learn new cool things from them too!