Title: The Arrowverse: What is a Category in Mathematics? In mathematics, similar phenomena can occur in different contexts. Often these can be expressed by diagrams of arrows. Sometimes to understand a mathematical object, one can examine a related object in a different setting. Category Theory provides a a framework that can help us formalize these […]

Title: High Dimensional Spheres Location: 204 Neville Hall In the spirit of pi day week, I will describe some counterintuitive features of spheres in higher dimensions.  For example, if denotes the volume of the unit sphere in , i.e., the sphere of radius 1, then:   These seem to be growing with n, but this is […]

The Math Club is holding a fundraiser on Pi Day, 3/14, 4-6pm at OBC in Orono to raise funds for the club. We will be selling baked goods, including pies. Stop by for pie, pi-related activities, or just to hang out and kick off your spring break!  You are welcome and encouraged to donate baked […]

Looking for information on a graduate degree in Mathematics or the department's 4+1  program?  The Math Club will be hosting a panel with current graduate level math (MA) students as well as faculty who recently attended Grad School.  Panelists will talk about their experiences as well as answer questions about how to get into Graduate […]

Title: How to prove Fermat's last theorem Abstract: If you’ve heard of Fermat’s last theorem, you may have heard that its proof involves some sophisticated geometric objects that seemingly have nothing to do with whether a^n + b^n = c^n for n > 2. These objects, called "elliptic curves" and "modular forms", each admit their own rich and […]

Title: Shocks formation for the 1D Burgers equation Abstract: The 1D Burgers equation is one of the simplest examples of a nonlinear partial differential equation (PDE). Like many other nonlinear PDEs, its solutions can exhibit shocks, where the solution ceases to be continuous in finite-time. The shocks and singularities formed by nonlinear PDEs are not […]