University of Liverpool The singularities seminar. Mon. Dec. 8, 2008. Title: Gauss diagram formulas for Vassiliev invariants. Abstract: Gauss diagrams provide an alternative way to represent knots and links. Any Vassiliev knot invariant can be expressed by a Gauss diagram formula which counts some "subdiagrams" of the Gauss diagram. I will describe such formulas for Vassiliev invariants coming from the HOMFLYPT polynomial. This is a joint work with Michael Polyak.