James Maynard - Patterns in prime numbers

Several of the most famous open questions in pure mathematics are about whether certain patterns of prime numbers occur infinitely often. Such questions have many important connections to other questions in mathematics and cryptography but have resisted the efforts of mathematicians for the past 100+ years. These questions, and how recent developments have made progress on these long-standing problems, will be the focus of this talk.

Professor James Maynard - Fields Medallist 2022 - is renowned for his work on prime numbers, particularly for refining our understanding of the gaps between primes. His innovative techniques simplified and extended results in the field, including progress on the twin prime conjecture and the distribution of primes in arithmetic progressions. Currently a professor at the University of Oxford, Maynard's elegant and accessible methods have significantly influenced modern number theory and inspired mathematicians worldwide.

James was speaking at the G-Research Distinguished Speaker Symposium on Prime Numbers and Cryptography. James was the second of two speakers, alongside Cliff Cocks, former Chief Mathematician at GCHQ, the UK's intelligence, security and cyber agency.

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