Yang-Hui He: How AI Is Reshaping Pure Mathematics Right Now

Yang-Hui He explores how AI is reshaping pure mathematics, from the murmuration conjecture to Riemann Hypothesis. We examine the changing research landscape, the role of intuition, and what a future where machines generate discoveries faster than humans might look like.0:00 Introduction1:34 Changing Landscape3:30 ML Categories6:53 Researchers: Birds vs Hedgehogs9:36 Personal Experiences11:44 Future Role of Academics14:08 AI Mathematician Presentation16:14 Intuition in Discovery18:00 AI Assistance in Vague Problems18:48 Newton and AI20:59 Literature Processing24:34 Acknowledging Modern Mathematicians26:54 Data Influence30:22 Riemann Hypothesis Implications31:55 BST Conjecture and Data33:29 Collaborations and Limits36:04 Future of Math and AI38:31 Image Processing and Intuition41:57 Visual Thinking49:24 AI‑Assisted Discovery51:34 Murmuration Conjecture Interaction57:05 Hierarchies of Difficulty58:43 Memoration Breakthrough1:00:28 Understanding BSD Conjecture1:01:45 Diophantine Equations1:03:39 Cubic Complexity1:19:03 Neural Networks Predictions1:21:36 Breaking the Birch Test1:24:44 BSD Conjecture Clarified1:26:21 AI Role in Discovery1:30:29 Memoration Phenomenon1:32:59 PCA Analysis1:35:50 Emergence of Memoration1:38:35 Conjectures and AI1:41:29 Generalizing Biases1:44:55 Future of AI in Math1:49:28 Brave New World of DiscoveryRESOURCES:- Topology and Physics (book): https://amzn.to/3ZoneEn- Machine Learning in Pure Mathematics and Theoretical Physics (book): https://amzn.to/4k8SXC6- The Calabi‑Yau Landscape (book): https://amzn.to/43DO7H0- Yang‑Hui’s bio and published papers: https://www.researchgate.net/profile/Yang-Hui-He- A Triumvirate of AI‑Driven Theoretical Discovery (paper): https://arxiv.org/abs/2405.19973- Edward Frenkel explains the Geometric Langlands Correspondence on TOE: https://www.youtube.com/watch?v=RX1tZv_Nv4Y- Stone Duality (Wiki): https://en.wikipedia.org/wiki/Stone_duality- Summer of Math Exposition: https://some.3b1b.co/- Machine Learning meets Number Theory: The Data Science of Birch–Swinnerton‑Dyer (paper): https://arxiv.org/pdf/1911.02008- The L‑functions and modular forms database: https://www.lmfdb.org/- Epoch AI FrontierMath: https://epoch.ai/frontiermath/the-benchmark- Mathematical Beauty (article): https://www.quantamagazine.org/mathematical-beauty-truth-and-proof-in-the-age-of-ai-20250430/- https://cell.ver.so/TOE- I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE- Join My New Substack (Personal Writings): https://curtjaimungal.substack.com- Listen on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e- Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join- Patreon: https://patreon.com/curtjaimungal- Crypto: https://nowpayments.io/donation/TOE- PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4- Twitter: https://twitter.com/TOEwithCurt- Discord Invite: https://discord.com/invite/kBcnfNVwqs Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. Learn more about your ad choices. Visit megaphone.fm/adchoices