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 …
Elementary Matrix Operations on a Napkin Dr. Bogdan Nica Assistant Professor Indiana University - Purdue University Indianapolis Atmospheric science provides excellent opportunities for encouraging student interest in all fields of STEM (Science, Technology, Engineering, Math). A model outreach program (“Chasing …
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 …
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 …