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

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.- 00:00 - Introduction- 01:34 - Changing Landscape- 03:30 - ML Categories- 06:53 - Researchers: Birds vs Hedgehogs- 09:36 - Personal Experiences- 11:44 - Future Role of Academics- 14:08 - AI Mathematician Presentation- 16:14 - Intuition in Discovery- 18:00 - AI Assistance in Vague Problems- 18:48 - Newton and AI- 20:59 - Literature Processing- 24:34 - Acknowledging Modern Mathematicians- 26:54 - Data Influence- 30:22 - Riemann Hypothesis Implications- 31:55 - BST Conjecture and Data- 33:29 - Collaborations and Limits- 36:04 - Future of Math and AI- 38:31 - Image Processing and Intuition- 41:57 - Visual Thinking- 49:24 - AI‑Assisted Discovery- 51:34 - Murmuration Conjecture Interaction- 57:05 - Hierarchies of Difficulty- 58:43 - Memoration Breakthrough- 1:00:28 - Understanding BSD Conjecture- 1:01:45 - Diophantine Equations- 1:03:39 - Cubic Complexity- 1:19:03 - Neural Networks Predictions- 1:21:36 - Breaking the Birch Test- 1:24:44 - BSD Conjecture Clarified- 1:26:21 - AI Role in Discovery- 1:30:29 - Memoration Phenomenon- 1:32:59 - PCA Analysis- 1:35:50 - Emergence of Memoration- 1:38:35 - Conjectures and AI- 1:41:29 - Generalizing Biases- 1:44:55 - Future of AI in Math- 1:49:28 - 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- https://www.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://commerce.coinbase.com/checkout/de803625-87d3-4300-ab6d-85d4258834a9- 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 Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Episoder(343)

Curt Jaimungal: I'm Worried About Us

Curt Jaimungal: I'm Worried About Us

Curt Jaimungal argues writing reveals something deeper than output—what LLMs expose about human purpose.Curt Jaimungal argues that in an age where LLMs can produce beautiful prose on demand, we've dis...

19 Mar 6min

JB Manchak: Time Travel in Physics and What We Still Don't Know

JB Manchak: Time Travel in Physics and What We Still Don't Know

Curt Jaimungal examines why physicists still can't resolve whether time travel is possible or forbidden.What if you gathered every possible piece of evidence about the universe — every observation, pa...

16 Mar 2h 17min

Curt Jaimungal: General Relativity Is NOT Deterministic (Here's the Proof)

Curt Jaimungal: General Relativity Is NOT Deterministic (Here's the Proof)

Many people think physics / reality is either guided by a probabilistic distribution or is “determined.” Actually, there’s a third, far‐more unsettling option. Curt Jaimungal explains why Einstein’s g...

12 Mar 21min

John Donoghue: We Have Already Quantized Gravity (And It Works)

John Donoghue: We Have Already Quantized Gravity (And It Works)

Professor John Donoghue explains why quantum physics and gravity actually work perfectly together. He tackles quadratic gravity, effective field theory, and random dynamics, arguing that grand unifica...

11 Mar 1h 6min

Nir Lahav: What If Consciousness Follows the Rules of Relativity?

Nir Lahav: What If Consciousness Follows the Rules of Relativity?

A physicist proposes a relativistic theory of consciousness based on spacetime geometry and information.Physicist Nir Lahav joins me to argue that the hard problem isn't hard so much as confused—a con...

5 Mar 3h 8min

Curt Jaimungal: Why Neil deGrasse Tyson Gets "Belief" Wrong

Curt Jaimungal: Why Neil deGrasse Tyson Gets "Belief" Wrong

Curt Jaimungal argues that astrophysicists like Neil deGrasse Tyson and spiritual gurus Deepak Chopra and Thomas Campbell can’t logically claim they don’t hold beliefs. This “Theories of Everything” w...

2 Mar 16min

David Bessis: What Mathematics Really Is and How to Learn It

David Bessis: What Mathematics Really Is and How to Learn It

What is mathematics, really? Mathematician David Bessis joins me to argue that math isn't about numbers in a Platonic realm or a meaningless game of symbols—it's a cognitive technology for rewiring yo...

23 Feb 2h 18min

Erik Verlinde: Gravity Is Not Fundamental, It Is Entropic

Erik Verlinde: Gravity Is Not Fundamental, It Is Entropic

What if gravity is just entropy in disguise? Professor Erik Verlinde joins me to argue that gravity isn't a fundamental force—it's thermodynamic, emerging from quantum information the way gas pressure...

16 Feb 1h 58min

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