Noncommutative geometry

Noncommutative geometry is a way of looking at mathematics that deals with things that don't necessarily fit into traditional geometry, such as shapes that can't be drawn on paper. Instead of looking at shapes and angles, noncommutative geometry allows us to look at things like abstract shapes and how they interact with each other. To do this, we use abstract algebra, which is a set of mathematical rules that describe the behavior of these abstract shapes. For example, we can use abstract algebra to describe how circles, squares, and triangles interact with each other in a certain way. This is important because it helps us form a much better understanding of the mathematical universe.