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... 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
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... Read More
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... Read More
The Mathematics of Chip-Firing Caroline Klivans Professor of Applied Mathematics, Deputy Director of ICERM Brown University Chip-firing processes are discrete dynamical systems. A commodity (chips, sand, dollars) is exchanged between sites of a network according to simple local rules. Although... 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
Mathematical Modeling of Cell Volume Control and Electrolyte Balance Prof. Yoichiro Mori Professor of Mathematics University of Pennsylvania Electrolyte and cell volume regulation is essential in physiological systems. Biophysical modeling in this area, however, has been relatively sparse. After a... 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
Mathematics around the Heisenberg Group Prof. Roger Howe Professor Emeritus Yale University In the mid 1920s, Werner Heisenberg formulated the CCR – canonical commutation relations – describing the relationship between the operations of measuring position and of measuring momentum of... Read More