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
Adversarial Training Through the Lens of Optimal Transport Dr. Nicolás Trillos Assistant Professor in the Department of Statistics University of Wisconsin - Madison Modern machine learning methods, in particular deep learning approaches, have enjoyed unparalleled success in a variety of challenging... Read More
Dynamical Modeling of Complex Adaptive Systems: Applications to Social Insect Colonies Dr. Yun Kang Professor of Applied Mathematics Arizona State University A complex adaptive system (CAS) is a system that is complex in that it is a dynamic network of... Read More
Algebraic Geometry in Evolutionary Biology Dr. Elizabeth Gross Associate Professor University of Hawaii at Manoa One of the main goals of phylogenomics is to understand the evolutionary history of a set of species. These histories are represented by directed graphs... Read More
Combinatorial Problems Related to Optimal Transport and Parking Functions Mr. Jan Kretschmann University of Wisconsin-Milwaukee Dissertator In the first part, we show contributions to optimal transport through work on the discrete Earth Mover's Distance (EMD). We provide a new formula... Read More