Graduate Text Notes

Welcome to a new collection of posts that will consist of semi-constantly updated notes for several graduate level mathematics texts. To give some background, I tend to notate my books fairly heavily and in a manner that makes it easier for myself to read through them if I ever need to review something. I’ve decided … Continue reading Graduate Text Notes

The Arithmetic of Polynomial Rings over Finite Fields

Today we’re going to talk about something quite exciting and unexpected: the arithmetic of polynomial rings over finite fields and its similarity to the arithmetic of the integers. We’ll first run though some preliminary observations about the arithmetic of the polynomial rings which will suggest that it behaves similar to the arithmetic of the integers. … Continue reading The Arithmetic of Polynomial Rings over Finite Fields