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 …
Combinatorial Resolutions of Monomial Ideals Dr. Selvi Kara Assistant Professor of Mathematics Bryn Mawr College One of the central problems in commutative algebra concerns understanding the structure of an ideal in a polynomial ring. Abstractly, an ideal’s structure can be …
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 …
A Mechanochemical Model of Cell Migration in Confined Environments Dr. Emmanuel Asante-Asamani Assistant Professor of Mathematics Clarkson University Eukaryotic cells can move in confined environments by using pressure driven protrusions of their cell membrane, a motility mechanism known as blebbing. …
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 …
The Dynamical view of Free-by-Cyclic Groups Dr. Jean Pierre Mutanguha Instructor Princeton Free-by-cyclic groups can be defined as mapping tori of free group automorphisms. I will discuss various dynamical properties of automorphisms that turn out to be group invariants of …
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 …
Experimental Methods in Combinatorics Dr. Jay Pantone Assistant Professor of Mathematics Marquette University What number comes next in the sequence 1, 2, 4, 8, 16, 32, ... ? How about 1, 2, 3, 5, 8, 13, ... ? Or maybe …
The intrigue that compels us When we witness unexpected phenomena, a mathematician finds themselves asking: why? We are compelled to understand further; what is the cause, the basic underlying principles?  Mathematics is full of symmetries, patterns and visuals that …