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
Non-hyperbolic right-angled Coxeter groups with Menger curve boundary Mr. Cong He University of Wisconsin-Milwaukee Dissertator We find a class of simplicial complexes as nerves of CAT(0) right-angled Coxeter groups, with boundary homeomorphic to the Menger curve. Our nerves are triangulations... Read More
Random quotients of hyperbolic groups and Property (T) Mr. Prayagdeep Parija University of Wisconsin-Milwaukee Dissertator How does a random quotient of a group look like? Gromov looked at the density model of quotients of free groups. The density parameter d... 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
Hyperbolic groups and local connectivity In the 1980s Gromov introduced the family of hyperbolic groups, a family of finitely generated groups that are “negatively curved” in a certain sense. Hyperbolic groups share many features with the classical hyperbolic plane. The... 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
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