Bill Bogley and Dennis Garity will be organizing the topology seminar for winter term. One topic will be going through the paper: New Invariants in the Theory of Knots by Louis H. Kauffman
(The American Mathematical Monthly, Vol. 95, No. 3 (Mar., 1988), pp. 195-242)
This paper is available in pdf format through the JSTOR collection at the OSU library. It provides a self contained introduction to knot theory and some of the polynomials associated with knots discovered during the 1980s.
If you are interested in participating in the seminar, and can't make the organizational meeting, please let Bill Bogley or Dennis garity know.