Synchronization and Aggregation Dr. Tilmann Glimm Professor of Mathematics Western Washington University The phenomenon of spontaneous synchronization in networks of interacting oscillators ('clocks') has fascinated mathematical modelers since the 1980s. Examples include flashing of fireflies, synchronous firing of neurons, or... Read More
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
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
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
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
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
A General Theory of Coexistence for Stochastic Populations Dr. Alexandru Hening Assistant Professor of Mathematics Texas A&M University One of the longstanding, fundamental problems in population biology is understanding the coexistence of multiple interacting species. In order to accurately... Read More
A finite geometry problem from some conjectures of Brauer Prof. Michael Geline Professor of Mathematics Northern Illinois University We will begin with a problem in "finite geometry" which captures at least some of the spirit of algebraic geometry in positive... Read More