The branch of mathematics known as topology has become a cornerstone of modern physics thanks to the remarkable—and above all reliable—properties it can impart to a material or system. Unfortunately, ...

Mathematical physics occupies the fertile borderland between pure mathematics and theoretical physics, developing precise frameworks to formulate and solve the laws governing nature. It embraces the ...

These achievements created a framework that mathematicians continue to build upon decades later.

Explicit learning goals Interactive lectures Transformed homework problems (including a "bank" of potential HW problems) Common student difficulties & in-class group activities/tutorials Concept tests ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

It has been shown that active learning methods are more effective than traditional lecturing at improving student conceptual understanding and reducing failure rates in undergraduate physics courses.

The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...