UCLA Olga Radko Endowed Math Circle

10/26/2008: Group A: Pigeonhole principle (M. Hall);
Group B: Knots and Invariants (Prof. Manolescu)

Pigeonhole principle:

We will motivate, prove and apply the Pigeonhole principle in a series of problems

Knots and Invariants:

In mathematics, a knot is a closed piece of string in three-space. Two knots are equivalent if they can be deformed into each other. We will explore several ways of showing that certain knots are not equivalent, using invariants.