This summer we were very pleased to attend the European Congress of Mathematics (ECM), which took place in Seville, Spain, in July. We went to lots of fascinating talks and generally enjoyed the mathematical hustle and bustle. We also interviewed a range of interesting mathematicians about topics as diverse as mathematical billiards and topological data analysis, and we now bring you these interviews as part of our podcast.

First up is the eminent Avi Wigderson, who has won many prestigious mathematical prizes, including an Abel Prize in 2021. Avi gave a great talk at the ECM about the role of errors in mathematical proofs. Traditionally, mathematical proofs need to be absolutely waterproof and errors are anathema. But as Avi told us, if you allow a certain level of error to creep in, you can do amazing things. For example, you can construct zero knowledge proofs, which allow you to prove something without giving any information away about what you're proving. And you can construct proofs that even if they're very long, can be checked for correctness by just reading a few pages. Find out more in this episode of Maths on the move.

The photo of Avi Wigderson above is courtesy Cliff Moore/Institute for Advanced Study, Princeton, NJ USA/AbelPrize.

This content was produced with kind support from the London Mathematical Society.