Graduate Student Colloquia

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

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

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

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

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

Structure-Randomness and The Green-Tao Theorem Mr. Kushlam Srivastava PhD Student University of Wisconsin – Milwaukee In this talk we will give a brief introduction of the dichotomy between structure and randomness in the context of Szemeredi's Theorem and the celebrated... Read More

Julia Sets in Parameter Space for the Generalized McMullen Map Mrs. Kelsey Brouwer PhD Student University of Wisconsin – Milwaukee We will begin by introducing the field of complex dynamics and explaining the two types of pictures that dynamicists are... Read More

Introduction to Topological Combinatorics Mr. Joe Paulson PhD Student University of Wisconsin – Milwaukee With the prominence of topology and combinatorics at UWM, we'll explore the intersection of these fields. This relatively new field originated with the solving of Kneser's... Read More