Danny Krashen

Using shapes to understand the arithmetic of algebraic structures.

I've just posted some videos on finite group theory, presenting the Sylow theorems and then looking at groups of small order, ending with the simplicity of the alternating group on 5 elements.

You can see the videos here:

I'm also working on some informal notes on derived categories and motives.

Here are some rough notes and slides (stopping abruptly after the basic definition of derived categories of coherent sheaves, still very much in progress)

You can see the related videos here: