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Topics in Algebra, Graphs, Braids and Knot Theory
We will explore the interaction of several areas of
mathematics centering around group actions, graphs and polyhedra, braids
and knots by using related algebraic invariants. This will continue last
summer's program, which explored
zeta functions of graphs, and various connections to
algebraic number theory and the theory of knots. A new direction is to
look at higher-dimensional versions of these things, especially
two-dimensional complexes and surfaces in relation to combinatorial group
theory.
Information on Prior REUs
Descriptions and examples of projects from prior summers can be found on
the following pages: