These are the show notes for episode 53 of the Travels in a Mathematical World Podcast. 53 is prime, the smallest multidigit balanced prime: primes which are the averages of their prime neighbours. More about 53 from Number Gossip.

Robert Harter talks about his PhD research at the University of Manchester into linear water wave problems. You can read a paper by Robert and others on this topic as “The effect of surface tension on trapped modes in water-wave problems“. Prof. I. David Abrahams talks about problems in this area in an interview on his website. There is a lot of information on different water wave problems at Loughborough.

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