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 …
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 …
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 …
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 …
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 …
Introduction to Topological Combinatorics Mr. Joe Paulson PhD Student University of Wisconsin – Milwaukee With the prominence of topology and combinatorics at 51ÁÔÆæ, we'll explore the intersection of these fields. This relatively new field originated with the solving of Kneser's …
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 …