Voices of Mathematics: Holly Krieger

Welcome to Voices of Mathematics, a podcast from the Mathematics Faculty at the University of Cambridge. From number theory and geometry to cosmology and quantum physics, join us to explore topics across pure and applied mathematics, mathematical statistics and theoretical physics. In this episode we talk to Holly Krieger, Professor of Mathematics at the Department of Pure Mathematics and Mathematical Statistics. Holly Krieger works in the overlap of two areas of mathematics: number theory - which is famous for problems such as Fermat's Last Theorem - and complex dynamics, which gives rise to beautiful fractals. This intersection is known as arithmetic dynamics, and it's an exciting, relatively young area of research.  Holly Krieger's research has been recognised with several prestigious prizes and awards. With over 11 million views for her appearances on Numberphile, she has also connected with a wide audience to share the beauty and fascination of mathematics. We talked to her to learn more about her research area, mathematical communication, and the interesting advice she'd give for people starting out on a career in maths.   The podcast is hosted by Marianne Freiberger and Rachel Thomas, Editors of Plus, from the communications and outreach team at the Mathematics Faculty.   To find out more about topics mentioned in this podcast see: Our article Holly Krieger and the dynamics of numbers Our article and this Plus podcast about Fermat's Last Theorem and how its solution continues to inspire new mathematics Holly Krieger's videos on Numberphile Discover more about the University of Cambridge Faculty of Mathematics at maths.cam.ac.uk.