Holly Krieger: The dynamics of numbers episode artwork

EPISODE · Jul 28, 2026 · 27 MIN

Holly Krieger: The dynamics of numbers

from Maths on the Move · host plus.maths.org

Plus is based at the Maths Faculty at the University of Cambridge so we have lots of opportunities to talk to interesting mathematicians about their work and their working lives. This week we speak to Holly Krieger, who is a professor here in a podcast that we originally produced for the Maths Faculty. Holly 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's work has been very successful, being awarded several prestigious prizes. And she is also known for her appearances on the Numberphile channel where she has shared the beauty of maths in a range of areas, from centrifuge to the Mandelbrot set. Holly told us about how she came to her current research, the benefits of a career in maths, advice for younger mathematicians, and her appearances on Numberphile. Find out more about: Holly's work Number theory Fermat's Last Theorem Mandelbrot set Holly's appearances on Numberphile Maths on the Move, is the podcast from plus.maths.org. We speak to researchers from the frontiers of mathematical science so you can connect with the maths that shapes and explains our world. Hosted by Plus editors Rachel Thomas and Marianne Freiberger.

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Cambridge professor Holly Krieger talks about the benefits of a career in maths, advice for young mathematicians, and what it is like being on Numberphile.

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Holly Krieger: The dynamics of numbers

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