Math Will Never Be The Same Again... | Yang-Hui He

This episode features Yang-Hui He, a mathematical physicist and professor known for his groundbreaking work in string theory, geometry, and AI-driven approaches to mathematical research, as he explains how machine learning is revolutionizing the field and leading to major discoveries. As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe Timestamps: 00:00 - String Theory & Mathematics 10:54 - How Does One Do Mathematics? 16:28 - Computers & Mathematics 20:04 - Bottom-Up Mathematics 28:44 - Meta-Mathematics 46:17 - Top-Down Mathematics 55:22 - Pattern Recognition 01:01:30 - Platonic Data 01:07:15 - A Classic Problem Since 1736 01:17:38 - Classical Results for Reimann Surface 01:22:29 - Manifolds 01:26:52 - Superstring Theory 01:30:45 - When Physics Meets Math 01:43:01 - Progress in String Theory 01:45:45 - Image Processing 01:59:33 - Episode Recap 02:12:50 - Outro Links Mentioned: •⁠ ⁠The Calibi-Yau Landscape (book): https://amzn.to/41XmUi0 •⁠ ⁠Machine Learning (book): https://amzn.to/49YQ42t •⁠ ⁠Topology and Physics (book): https://amzn.to/4gCcjxr •⁠ ⁠Yang-Hui He’s recent physics lecture: https://www.youtube.com/watch?v=AhuZar2C55U •⁠ ⁠Roger Penrose on TOE: https://www.youtube.com/watch?v=sGm505TFMbU •⁠ ⁠Edward Frenkel’s String Theory discussion on TOE: https://www.youtube.com/watch?v=n_oPMcvHbAc •⁠ ⁠Edward Frenkel’s lecture on TOE: https://www.youtube.com/watch?v=RX1tZv_Nv4Y •⁠ ⁠Joseph Conlon and Peter Toit on TOE: https://www.youtube.com/watch?v=fAaXk_WoQqQ •⁠ ⁠A New Lower Bound For Sphere Packing (article): https://arxiv.org/pdf/2312.10026 •⁠ ⁠Principia Mathematica (book): https://www.amazon.com/Principia-Mathematica-Alfred-North-Whitehead/dp/1603864377/ref=sr_1_5?crid=2ANIKKX6G8KRK&dib=eyJ2IjoiMSJ9.c62w_u2CfXIK6AaEt-QKx6dp22lbkUr17cSyr3O-rltVBjvb8xCrwLWz8CQ6iWjo8rjmeCsSCwPwM_U0T8_InZfz0vEX9UKDWfSa5Oan86o4YwU6F3GdBPz3J2d_hXbLOc-EULawZ47JksUzndhf5q7ydfCMlK9lYKc2XLZQq-6_dHWQSbjYI82e_dcKw9EWp71DPKIZ9v5qvbyP3CnE7gRpN7uPMZpj-lxlo7Wjsl4.iSUZDFr0n-ZlkiADza8yEePerPoxBJRRCLhO0tQm2wU&dib_tag=se&keywords=principia+mathematica&qid=1735580157&s=books&sprefix=principia+ma%2Cstripbooks%2C122&sr=1-5 •⁠ ⁠Tshitoyan’s paper on Nature: https://www.nature.com/articles/s41586-019-1335-8 New Substack! Follow my personal writings and EARLY ACCESS episodes here: https://curtjaimungal.substack.com TOE'S TOP LINKS: - Enjoy TOE on Spotify! https://tinyurl.com/SpotifyTOE - Become a YouTube Member Here: https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join - Support TOE on Patreon: https://patreon.com/curtjaimungal (early access to ad-free audio episodes!) - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything #science #physics #ai #artificialintelligence #mathematics Learn more about your ad choices. Visit megaphone.fm/adchoices

Om Podcasten

Exploring theoretical physics, consciousness, Ai, and God in a technically rigorous manner. If you'd like to support this endeavor, then please visit the Patreon ( https://patreon.com/curtjaimungal ). Thank you for your charitable and kindhearted support. My name's Curt Jaimungal, a Torontonian with a degree in mathematical physics from the University of Toronto and I analyze various Theories of Everything from this analytic perspective, though more and more opening up to alternative approaches. The separating factor of TOE from other podcasts is its focus on depth even at the risk of limiting the audience due to how much detail we delve into subjects. Paralleling the intensity found in academic discourse, we're increasingly embracing a spectrum of unconventional ideas to conduct research during this podcast, rather than merely conveying existing information. Contact toe [at] indiefilmTO [dot] com for business inquiries / sponsorship.