Polytopes (also known in dimensions zero through three as "points", "line segments", “polygons", and “polyhedra") have been objects of interest to mathematicians throughout the recorded history of mathematics. Most notably,…

Chaos refers to seemingly random and unpredictable dynamics of a system that evolves in time. Certain chaotic systems exhibit an additional level of complexity: intermittent extreme events that are noticeably distinct…

From x-ray machines to luggage scanners, our lives depend on imaging devices that let us “see” what is impossible to observe with the naked eye. I will explain some of…

We all tackle hard problems everyday, like finding a parking spot in the Dan Allen Deck. However, there are special types of problems which are hard even for a computer…

The 21st century has seen a boom in the production of data as well as methods to analyze data. One such methodology is Topological data analysis (TDA), where concepts from topology are used…

Imagine tying up your shoelaces into a knot.  How can we measure the difficulty of unknotting this mess?  In this talk, we will study mathematical knots and various measurements of…