 Hilbert's problems

He's a bit overly obsessed with polynomials for the taste of modern maths, but it's still fun.

Hilbert's problems refer to a set of 23 mathematical problems presented by the German mathematician David Hilbert in 1900 at the International Congress of Mathematicians in Paris. These problems were intended to define the challenges and goals for mathematical research in the 20th century and have had a profound influence on mathematics. Each of the problems addresses different areas of mathematics and ranges from pure to applied mathematics.