Stern polynomials, Fibonacci numbers, and continued fractions

This talks begins with a brief introduction to the classical Stern sequence, along with a historical overview. A polynomial analogue is then presented, with some properties, including an interesting connection with Fibonacci numbers. This connection then leads to two subsequences of the Stern polynomials which, in turn, give rise to a special class of continued fractions. Along the way we will come across the work of several Australian mathematicians.

This talk is intended for a general audience; no special knowledge of number theory is required.