A Short Course in Spectral Graph Theory Prof. Steve Butler Morrill Professor of Mathematics Iowa State University Graphs are used to model relationships (edges) between objects (vertices). A graph's structure can efficiently stored in an array format. We can go …
Quasi-isometric Hyperbolic and Cusped Relatively Hyperbolic Groups are Symmetric Prof. Genevieve Walsh Professor of Mathematics Tufts University This talk will first describe hyperbolic groups and relatively hyperbolic group pairs, and give some key examples. We then delve into understanding when …
The Beautiful Interplay of Rotation Groups in Three Dimensions We'll explore the connections between the rotation Lie groups (SU(n) and SO(n)) in two and three dimensions. In doing so, we'll prove a remarkable theorem about the way that SU(2) and …
Doing Anything You Want With Combinatorics Dr. Jennifer Elder Assistant Professor of Mathematics Missouri Western State University When Mathematical Reviews first launched as a journal in 1940, combinatorics was not listed as a research area. The Seven Bridges of Königsberg …
Uncertainty Quantification for Geophysical Hazard Analysis Dr. Elaine Spiller Professor of Applied Math and Statistics Marquette University Geophysical flows — landslides, storm surge, tsunamis, volcanic flows, etc — pose a serious threat to nearby populations. Ideally, probabilistic hazard assessments combine …
An Introduction to Boundaries of Groups We introduce a generalization of parking functions in which cars are limited in their movement backwards and forwards by two nonnegative integer parameters k and â„“, respectively. In this setting, there are n spots …
Sticky Particle Solutions of the Euler Alignment system This talk is about the Euler Alignment system from the field of collective behavior. After a primer on modeling considerations and the equations at issue, we discuss the weak solution theory developed …
An Introduction to Boundaries of Groups A key idea in the field of geometric group theory is to study geometric and topological objects associated with groups. Boundaries of groups are examples of such objects. In this talk we will look …
(Higher) Categorical Galois Theory for the Aspiring Mathematician Here we focus on the function/motivation of specific structures (most likely new to the audience) in high-level mathematics with the aim of highlighting major themes in the broader canvas of modern mathematics. …
Dr. Alison Marzocchi Supporting Mathematics Faculty Instructional Improvement with Reflection Cycles Dr. Alison Marzocchi Professor of Mathematics California State University, Fullerton Many mathematics faculty desire to improve their instruction but may feel they lack the knowledge, confidence, skills, or time …