# #472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

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Text version: https://stenobird.com/podcast/lex-fridman-podcast/472-terence-tao-hardest-problems-in-mathematics-physics-the-future-of-ai.md
Podcast: [Lex Fridman Podcast](https://stenobird.com/podcast/lex-fridman-podcast)
Published: 2025-06-15T00:25:41+00:00
Episode link: https://lexfridman.com/terence-tao/?utm_source=rss&utm_medium=rss&utm_campaign=terence-tao
Audio file: https://media.blubrry.com/takeituneasy/content.blubrry.com/takeituneasy/lex_ai_terence_tao.mp3
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Duration seconds: 12221

## Resource

Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantum mechanics, prime numbers & analytics number theory, harmonic analysis, compressed sensing, random matrix theory, combinatorics, and progress on many of the hardest problems in the history of mathematics. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep472-sc See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. Transcript: https://lexfridman.com/terence-tao-transcript CONTACT LEX: Feedback – give feedback to Lex: https://lexfridman.com/survey AMA – submit questions, videos or call-in: https://lexfridman.com/ama Hiring – join our team: https://lexfridman.com/hiring Other – other ways to get in touch: https://lexfridman.com/contact EPISODE LINKS: Terence’s Blog: https://terrytao.wordpress.com/ Terence’s YouTube: https://www.youtube.com/@TerenceTao27 Terence’s Books: https://amzn.to/43H9Aiq SPONSORS: To support this podcast, check out our sponsors & get discounts: Notion: Note-taking and team collaboration. Go to https://notion.com/lex Shopify: Sell stuff online. Go to https://shopify.com/lex NetSuite: Business management software. Go to http://netsuite.com/lex LMNT: Zero-sugar electrolyte drink mix. Go to https://drinkLMNT.com/lex AG1: All-in-one daily nutrition drink. Go to https://drinkag1.com/lex OUTLINE: (00:00) – Introduction (00:36) – Sponsors, Comments, and Reflections (09:49) – First hard problem (15:16) – Navier–Stokes singularity (…

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## Transcript

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