We're getting excited for the summer here but before we all head off on holidays we catch up with Marianne in Spain at the European Congress of Mathematics, and Justin and Rachel in the UK having just attended some fascinating events in London and Cambridge held by the Isaac Newton Institute of Mathematical Sciences and the Newton Gateway. Marianne told us about her recent interview with Avi Widgerson – winner of the Abel Prize in 2021 and the most recent Turing Prize. Justin told us about  how the philosophical concept of causality can help us understand AI.  And Rachel tells us about the surprising phenomena of anti-diffusion and how it links the patterns we see on Juniper, staircases in our oceans and fusion reactors of the future. We'll be back with  more podcasts in the Autumn, but here are some of our recommendations for your summer reading and listening pleasure! Articles: How to (im)prove mathematics Fractal photo finish  Chaos on the billiard table  Podcasts: Tying together black holes, quantum gravity and number theory The murmuration conjecture: finding new maths with AI From clicks to chords  Books: Collision – Stories from the Science of CERN This content was produced as part of our collaborations with the London Mathematical Society, the Isaac Newton Institute for Mathematical Sciences and the Newton Gateway to Mathematics.