Sergei Kalmykov (Shanghai Jiao Tong University): Self-intersections of Laurent polynomials and the density of Jordan curves

University of Szeged, Bolyai Institute, Analysis seminar

Abstract.
We extend Quine's bound on the number of self-intersection of curves with polynomial parameterization to the case of Laurent polynomials. As an application, we show that circle embeddings are dense among all maps from a circle to a plane with respect to an integral norm.
Joint work with L.V. Kovalev, to appear in AMS Proceedings.