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Dr. Sarah A. Rundell
Ph.D. in Mathematics from University of Michigan, 2007
A.B. in Mathematics from Bryn Mawr College, 2002
See full resume [pdf] |
Research
My research is in algebraic and topological combinatorics. Recently, I have been particularly interested in coloring complexes. Given a simple graph with n vertices, the coloring complex associated to the graph has as its r-faces the set of all ordered partitions (B_1,...,B_{r+2}) where at least one B_i contains an edge of the graph. In my Ph.D. dissertation, I studied the cyclic coloring complex of an arbitrary simple graph and computed the dimensions of its homology groups.
Research Papers
The Homology of the Cyclic Coloring Complex [pdf]
submitted, J. Combinatorial Theory, Series A.
Teaching
I love teaching any math course. During my time at Denison, I have taught Essentials of Calculus, Calculus II, Combinatorics, Abstract Algebra II, and Introduction to Proofs. I also taught a first year studies course entitled "Mathematical Perspective Drawing".