Ropes, fractions, and moduli spaces Dr. Nick Salter Assistant Professor of Mathematics University of Notre Dame This will be a discussion of the only actually cool math magic trick that I know of - John Conway’s tangle trick. Even schoolchildren... Read More
Primer on Persistent Homology and Persistent Diagrams Mr. Joe Paulson Graduate Teaching Assistant University of Wisconsin – Milwaukee Persistent diagrams are powerful mathematical tools used in the field of topological data analysis (TDA). These diagrams provide a concise and intuitive... Read More
Optimizing Gravitational Wave Detection Using Topological Data Analysis Ms. Jillian Cervantes Undergraduate University of Wisconsin – Milwaukee The interactions between black holes create decaying periodic "chirp'' signals known as gravitational waves (GW). The detection of GW is an important problem... Read More
From sphere packings to extremal problems on hyperbolic surfaces Dr. Maxine Fortier Bourque Professor of Mathematics Université de Montréal What proportion of space can be occupied by balls of radius 1 that do not overlap? How many such balls can... Read More
Pinnacles on Graphs Mr. Stephen Lasinis Undergraduate University of Wisconsin – Milwaukee We consider graphs that are simple, finite, connected, and undirected, and a bijective labeling on the vertices of the graph with the integers 1, 2, ..., n where... Read More
A variation of zero forcing: leaky forcing Dr. Ryan Moruzzi Jr Assistant Professor of Mathematics California State University, East Bay Zero forcing on a graph is an iterative graph coloring process where, starting with an initial set of blue vertices,... Read More
Changepoint Detection Through Segmented Autoregressive Moving Average (ARMA) Models for the Study of Epidemics - A Bayesian Approach Mr. Russell Latterman PhD Student University of Wisconsin – Milwaukee Changepoint detection often involves the discovery of sudden abrupt and sustained fluctuations... Read More
Adaptive Stimulations in a Biophysical Network Model of Parkinson's Disease Dr. Tom Stojsavljevic Assistant Professor of Math and Computer Science Beloit College Deep brain stimulation (DBS)---through a surgically implanted electrode to the subthalamic nucleus (STN)---has become a widely used therapeutic... Read More
An Examination of an ODE Model of Braitenberg Vehicles Mr. Spencer Franks PhD Student University of Wisconsin – Milwaukee Braitenberg Vehicles are simple agents that respond to stimuli according to a small set of rules. Despite this simplicity, they can... Read More