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.

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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

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