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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 … |
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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 …
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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 … |
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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. …
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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 … |
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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 …
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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 … |
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Generalized Linear Model Approach to the Prediction of the Outcome of Mixed Martial Arts Fights Jackson Thurmond Graduate Student University of Wisconsin-Milwaukee Mixed martial arts is a complex combat sport that encompasses striking, grappling and submissions. In a sport where …
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Quads, Finite Geometry, and Sidon Sets Dr. Lauren Rose Associate Professor of Mathematics Bard College Quads is a SET-like card game, produced by the AWM under the name “EvenQuads”. The cards can be represented as points in $\mathbb{Z}_2^6$, where a … |
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Math Community of Practice: Let's Talk About Math Anxiety According to a March 2024 US News survey, most college students report struggling with mental health issues. Given that mathematicians are typically not mental health professionals, knowing how to address this …
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Polynomial-time Computability of the Julia Set for Polynomial Skew Products of Two Complex Variables Dr. Suzanne Boyd Associate Professor University of Wisconsin-Milwaukee Ingrained in the modern study of dynamical systems is the use of computer experiments for revelation and illustration. … |
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