################################################ Title: Rational Tangles, Rational Knots and DNA Speaker: Louis H. Kauffman, UIC Abstract: This talk will discuss a new (elementary) proof of the classification of rational knots due to the speaker and Sofia Lambropoulou. We will give a new approach to the fractions of rational tangles via coloring and a new interpretation of the square root of minus one as a tangle categorical rotation of ninety degrees. The talk will discuss the role of rational tangles and rational knots in the study of DNA recombination. ################################################