Episode sponsored by Jane Street - check out their latest opportunities - https://www.janestreet.com/join-jane-street/overview/ Professor Michael Merrifield - https://about.me/michael.merrifield Mike's Twitter - https://twitter.com/AstroMikeMerri Mike Merrifield Video Playlist - http://bit.ly/Merrifield_Playlist Sixty Symbols - Physics videos, many featuring Mike - https://www.youtube.com/user/sixtysymbols Deep Sky Videos - https://www.youtube.com/user/deepskyvideos Messier Objects Playlist - http://bit.ly/MessierObjects Ralph Merrifield - https://en.wikipedia.org/wiki/Ralph_Merrifield Ralph Merrifield author page on Amazon - https://amzn.to/3Hff0Gj Galactic Astronomy by James Binney and Michael Merrifield - https://amzn.to/3Xme4Fs Hand-written version of Mike's 'Good Will Hunting' paper - haran.squarespace.com/s/MerrifieldPaperHandWritten.pdf">https://brady-haran.squarespace.com/s/MerrifieldPaperHandWritten.pdf And here is the published version - https://adsabs.harvard.edu/full/1990AJ.....99.1548M You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons With thanks to SLMath - https://www.msri.org

Professor Toro is the new director of the Simons Laufer Mathematical Sciences Institute (SL Math). SL Math website - https://www.msri.org/ Announcement of Professor Toro's appointment - https://www.msri.org/web/msri/communications/tatiana-toro-msri-director-2022 MSRI is renamed SL Math - https://www.msri.org/web/msri/communications/msri-press-release-may-19-2022 Professor Toro's University of Washington webpage - https://sites.math.washington.edu/~toro/ Podcast with David Eisenbud - Professor Toro's predecessor - https://www.numberphile.com/podcast/david-eisenbud

Tadashi at Stanford - https://mathematics.stanford.edu/people/tadashi-tokieda Tadashi videos on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWI9eDSJREzp1wvOJsjt23H_ Lev Davidovich Landau - https://en.wikipedia.org/wiki/Lev_Landau You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons With thanks to MSRI - https://www.msri.org

Professor Hannah Fry discusses her cervical cancer diagnosis - and subsequent attempt to make sense of it all. Making Sense of Cancer - Showing on BBC2 on June 2 and then on BBC iPlayer - https://www.bbc.co.uk/programmes/m0017wzq Telegraph Article - https://www.telegraph.co.uk/health-fitness/body/prof-hannah-fry-calculating-risks-cancer-treatment-would-have/ Hannah Fry website - https://hannahfry.co.uk/ Hannah Fry books - Amazon - https://amzn.to/3PzW4nz Numberphile videos with Hannah - http://bit.ly/hannah_vids Hannah previously on the podcast - https://www.numberphile.com/podcast/hannah-fry Macmillan Cancer Support - https://www.macmillan.org.uk NHS Cancer help - https://www.nhs.uk/conditions/cancer/ You can support Numberphile on Patreon - https://www.patreon.com/numberphile Like these people - https://www.numberphile.com/patrons With thanks to MSRI - https://www.msri.org

Tony Padilla is known on Numberphile for tackling the big numbers... But by day he's a cosmologist at the University of Nottingham. Tony's also a life-long fan of Liverpool FC. Brady joined him at Anfield for a game against Watford. Tony at the University of Nottingham - https://www.nottingham.ac.uk/physics/people/antonio.padilla Order Tony's book Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity Amazon US - https://amzn.to/3JYQbws Amazon UK - https://amzn.to/3M3yvB8 MacMillan US - https://us.macmillan.com/books/9780374600570/fantasticnumbersandwheretofindthem Penguin UK - https://www.penguin.co.uk/books/316/316964/fantastic-numbers-and-where-to-find-them/9780241445372.html Some videos with Tony on Numberphile - http://bit.ly/Padilla_Numberphile And some videos with Tony on Sixty Symbols - https://bit.ly/Padilla_SixtySymbols The Sum of the Integers being -1/12 - https://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help Liverpool v Watford on 2 April 2022 - https://www.youtube.com/watch?v=7eHdk_1mJqA You can 'watch' the podcasts, including this one, on YouTube - https://www.youtube.com/playlist?list=PLH2AOVeIaWFmnXrXQ_UhKVy9Zp0RtRMm5 This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/ You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons With thanks to MSRI - https://www.msri.org

Three One Four: A Number of Notes - http://mkweb.bcgsc.ca/pi/piday2022/ The project is a collaboration between Martin, Gregory Coles, and Emma Beauxis-Aussalet On Bandcamp - https://ecstaticquiet1.bandcamp.com/album/three-one-four-a-number-of-notes YouTube track playlist - https://youtube.com/playlist?list=PLewycy5dwN_nDZVW9fPcTRhGiGMEXqoxs YouTube album discussions and score analysis - https://youtube.com/playlist?list=PLewycy5dwN_k_nAU9bhbTaDAKW3YAo_WW Martin Krzywinski - http://mkweb.bcgsc.ca 62.8 trillion digit computation of Pi - https://www.fhgr.ch/en/specialist-areas/applied-future-technologies/davis-centre/pi-challenge Some of Martin's previous Pi visualisations can be found here - http://mkweb.bcgsc.ca/pi/ This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/ You can support Numberphile on Patreon - https://www.patreon.com/numberphile) like these people - https://www.numberphile.com/patrons With thanks to MSRI - https://www.msri.org

Christopher Havens is serving a 25-year prison sentence for murder - but behind bars he's seeking redemption through advanced mathematics.

He has published an academic paper... and is bringing math to other inmates via The Prison Mathematics Project.

Catch this episode on YouTube

The Prison Mathematics Project

The Paper: Linear fractional transformations and non-linear leaping convergents of some continued fractions

Article by Marta Cerruti on The Conversation

You can support Numberphile on Patreon like these people

With thanks to MSRI

Mathematician Zvezdelina Stankova was born in Bulgaria and is now a teaching professor at UC Berkeley. Zvezda's webpage - https://math.berkeley.edu/~stankova/ Zvezda videos on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWIbAPK1oJgRIpe0sWiPKkQ4 The Legend of Question Six - https://www.youtube.com/watch?v=Y30VF3cSIYQ Berkeley Math Circle - https://mathcircle.berkeley.edu This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/ You can support Numberphile on Patreon - https://www.patreon.com/numberphile Like these people - https://www.numberphile.com/patrons With thanks to MSRI - https://www.msri.org

A breakthrough paper is published about using artificial intelligence to do mathematics - we discuss it with DeepMind's Alex Davies and Professor Marcus du Sautoy. DeepMind - https://deepmind.com DeepMind blog on this topic - https://deepmind.com/blog/article/exploring-the-beauty-of-pure-mathematics-in-novel-ways Nature article on the topic - https://www.nature.com/articles/d41586-021-03593-1 Article from The Conversation by Geordie Williamson, who worked on the project - https://theconversation.com/mathematical-discoveries-take-intuition-and-creativity-and-now-a-little-help-from-ai-172900 Marcus du Sautoy - https://www.simonyi.ox.ac.uk The Creativity Code - book on Amazon - https://amzn.to/3Dmxak2 Collaborator Geordie Williamson - https://www.maths.usyd.edu.au/u/geordie/ Collaborator Marc Lackenby - http://people.maths.ox.ac.uk/lackenby/ Collaborator Andras Juhasz - https://www.maths.ox.ac.uk/people/andras.juhasz This episode was supported by G-Research, a world-leading quantitative finance research firm, hiring the brightest minds to tackle the biggest questions in finance - learn more at gresearch.co.uk/numberphile/ - https://www.gresearch.co.uk/numberphile/ You can support Numberphile on Patreon - https://www.patreon.com/numberphile - like these people - https://www.numberphile.com/patrons With thanks to MSRI - https://www.msri.org