Zach Teitler,
Knots near the singular points of plane algebraic curves

I'm going to talk about topology of a plane curve (over C) near a singular point. Intersecting with a small (metric) ball around the singular point gives a knot or link in S^3. Each branch gives a component of the link. The function defining the curve gives a fibration on S^3 minus this knot or link. The knot or link always turns out to be an "iterated torus knot".