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... Read More
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... Read More
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... Read More
Community of Practice: Let's Talk About OER (Open Educational Resources*) We will chat about the state of OER (Open Educational Resources*) within the Community and within the department. We'll discuss its pros and cons as well as opportunities and barriers.... Read More
Some Things We Do and Don't Know About Knots Dr. Jason DeBlois Associate Professor University of Pittsburgh In this talk, “knot” will mean a circle embedded in three-dimensional space. These have been formally studied since the late 19th century. More... Read More
Stirling Permutations to Increasing Plane Trees and Back Ariel Minakawa and Gavin Sayrs Undergraduate Students University of Wisconsin-Milwaukee A Stirling permutation is a permutation on the multiset {1,1, 2, 2, 3, 3, ... ,n, n} such that any numbers appearing... Read More
How you think on a function defined on 0,1,…,N-1? Prof. Shamgar Gurevich Professor of Mathematics University of Wisconsin-Madison Between thousand to million times per day, your cellphone calculates the Fourier Transform (FT) of certain functions defined on 0,1,…,N-1, with N... Read More