Ross program lectures (2003)

During the summer of 2003, I gave several lectures to advanced participants at the Ross program at Ohio State. The topic of the lectures was analogies between integers and polynomials (in one variable over a field). Topics included continued fractions, quadratic reciprocity (including characteristic 2), and the abc conjecture.

Here is a handout on polynomials which was distributed before the start of the course.

Below are problems sets distributed each day after my lectures.

     Set 0

     Set 1

     Set 2

     Set 3

     Set 4

     Set 5

     Reference list

Here are notes for my lectures on quadratic reciprocity in polynomials over a finite field of odd characteristic and characteristic 2. Only the part of the characteristic 2 notes preceding the introduction of residues was discussed.