The Cambridge Mathematics Faculty is proud of the breadth of research and teaching it covers, from pure mathematics to theoretical physics. But what common ground do such diverse areas share, and how rich are the interactions between them?

In his 2017 London Mathematical Society Popular Lecture, *The Unreasonable Effectiveness of Physics in Mathematics'*, David Tong, Professor of Theoretical Physics in the Department of Applied Mathematics and Theoretical Physics, explored the relationship between physics and mathematics. We expect there to be a connection between the two - as we learn at school, the laws of physics are written in the language of mathematics - but in the past few decades the relationship has taken a surprising - and exciting - twist.

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