Kostant's Formula and Parking Functions: Combinatorial Explorations Kimberly Harry University of Wisconsin-Milwaukee We let L(λ) denote the irreducible highest weight representation of the classical simple Lie algebra g with highest weight λ. Kostant’s weight multiplicity formula gives a way to …

Fractal Geometry and Non-Integer Dimensions Matt McClinton PhD Graduate Student University of Wisconsin-Milwaukee Popularized in the 1980s, fractals have become something of a household name. These fractal sets often demonstrate peculiar topological properties. One such property is the notion of …

Infinitesimal Spaces of Quasiregular Mappings Prof. Alastair Fletcher Professor of Mathematical Sciences and Director of Undergraduate Studies Northern Illinois University How can we differentiate functions which are not differentiable? In the context of quasiregular mappings, a generalization of holomorphic functions …