Esteemed algebraic number theorist Professor Frank Calegari gave a public talk on the secrets of Pi, presented by SMRI as part of his 2022 Mahler Lecture Tour .

In this talk, Frank explored a conjecture (formalized by Grothendieck) which explains how seemingly different occurrences of Pi (as well as many other interesting mathematical constants) should all be related, and how these numbers are linked to some the biggest open problems in algebra and number theory.

SMRI Director Professor of Mathematics Geordie Williamson explored how machine learning can help with the intuitive aspects of mathematical research. Geordie carried out one of the first applications of AI in pure mathematics, in collaboration with Oxford University mathematicians and DeepMind, the AI company of AlphaGo fame. The results were published in the prestigious scientific journal Nature in December 2021.

This public event took place on 15 March 2022, co-presented with Sydney Ideas.

Since prehistoric times, humans have used knots for their functional and aesthetic value. Knots, links and braids have held decorative, artistic and spiritual significance across a myriad of cultures. For mathematicians, the study of knots has led to insights in disciplines such as geometry and topology.

Professor Purcell’s research explores some of the surprising applications of knot theory.

SMRI Director, Geordie Williamson gave a talk in this ongoing seminar series which showcases excellence in research and development which is generating economic, environmental, social and technological benefits for New South Wales. The six-part series featured some of the State’s best and brightest, and highlighted its tremendous research strength across a diverse range of disciplines. […]