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
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
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
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
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
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
On quantum and stochastic confinement Dr. Irina Nenciu Professor of Mathematics, Statistics, and Computer Science University of Illinois Chicago Our goal in this talk is to explore the broad question of confinement of particles to spatial domains. The first part... Read More
Collapses and Z-Compactifications of CAT(0) Cube Complexes Mr. Daniel Gulbrandsen University of Wisconsin-Milwaukee Dissertator We extend the notion of collapsibility to non-compact cube complexes and prove collapsibility of locally-finite CAT(0) cube complexes. Namely, we construct such a cube complex X... Read More