Counting Orbits of Defective Parking Functions Alex Moon PhD Student University of Wisconsin-Milwaukee Parking functions are well-studied objects in combinatorics and representation theory which constitute tuples of preferred parking spots for cars under a linear parking scheme. This talk will... Read More

Harmonize your Fractals Matt McClinton Graduate Student University of Wisconsin-Milwaukee The Sierpinski Gasket (SG) is a known fractal object. A simple observation shows that SG is path connected. Unfortunately, the infinitely jagged structure of the Gasket prevents these paths from... Read More

On Combinatorial Problems of Generalized Parking Functions Kimberly Hadaway PhD Student Iowa State University In this talk, we study combinatorial problems related to generalized parking functions. Our work is motivated by two different research questions posed to us by Dr.... Read More

A Primer on the Mathematics of Artificial Neural Networks Daniel Quigley PhD Student University of Wisconsin-Milwaukee Artificial neural networks (ANNs, or, simply, neural networks) are ubiquitous, not least of all in the context of modern machine learning. This presentation is... Read More

On the Lucky and Displacement Statistics of Stirling Permutations Dorian Smith PhD Student University of Minnesota Twin Cities Stirling permutations are parking functions. We investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among... Read More

Sandpile Group For Cones Over Trees Dorian Smith PhD Student University of Minnesota Twin Cities The sandpile group $K(G)$ of a graph $G$ is a finite abelian group, isomorphic to the cokernel of the reduced graph Laplacian of $G.$ We... Read More

Games, Winning, and Nimbers Mr. John Museus PhD Student University of Wisconsin – Milwaukee The Nimbers are a particularly peculiar Field which arises naturally when studying the winning strategies of Impartial Games. In this talk, we will give a brief... Read More

Representations of the Natural Numbers Using Box Arrangements Mr. Joakim Jakovleski PhD Student University of Wisconsin – Milwaukee Natural numbers can be presented as sums of numbers in boxes, where we are subject to certain rules about how we generate... Read More

Introduction to Topological Combinatorics Mr. Joe Paulson PhD Student University of Wisconsin – Milwaukee With the prominence of topology and combinatorics at UWM, we'll explore the intersection of these fields. This relatively new field originated with the solving of Kneser's... Read More

Julia Sets in Parameter Space for the Generalized McMullen Map Mrs. Kelsey Brouwer PhD Student University of Wisconsin – Milwaukee We will begin by introducing the field of complex dynamics and explaining the two types of pictures that dynamicists are... Read More