Book Description: The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.

Any vector can be expressed as a sum of a number of other vectors. The vectors which are summed are called the components of the original vector. When you want to add and subtract two dimensional ...

We prove that the number of geometrically indecomposable vector bundles of fixed rank r and degree d over a smooth projective curve X defined over a finite field is given by a polynomial (depending ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...