Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries | Lex Fridman Podcast #190

Jordan Ellenberg is a mathematician and author of Shape and How Not to Be Wrong. Please support this podcast by checking out our sponsors: Secret Sauce: https://wondery.com/shows/secret-sauce/ ExpressVPN: https://expressvpn.com/lexpod and use code LexPod to get 3 months free Blinkist: https://blinkist.com/lex and use code LEX to get 25% off premium Indeed: https://indeed.com/lex to get $75 credit EPISODE LINKS: Jordan's Website: http://www.jordanellenberg.com Jordan's Twitter:   / jsellenberg   PODCAST INFO: Podcast website: https://lexfridman.com/podcast Apple Podcasts: https://apple.co/2lwqZIr Spotify: https://spoti.fi/2nEwCF8 RSS: https://lexfridman.com/feed/podcast/ Full episodes playlist:    • Lex Fridman Podcast   Clips playlist:    • Lex Fridman Podcast Clips   OUTLINE: 0:00 - Introduction 1:01 - Mathematical thinking 4:38 - Geometry 9:15 - Symmetry 19:46 - Math and science in the Soviet Union 27:26 - Topology 42:15 - Do we live in many more than 4 dimensions? 46:45 - How many holes does a straw have 56:11 - 3Blue1Brown 1:01:57 - Will AI ever win a Fields Medal? 1:10:22 - Fermat's last theorem 1:27:41 - Reality cannot be explained simply 1:33:25 - Prime numbers 1:54:54 - John Conway's Game of Life 2:06:46 - Group theory 2:10:03 - Gauge theory 2:18:05 - Grigori Perelman and the Poincare Conjecture 2:28:17 - How to learn math 2:35:26 - Advice for young people 2:37:31 - Meaning of life SOCIAL: Twitter:   / lexfridman   LinkedIn:   / lexfridman   Facebook:   / lexfridman   Instagram:   / lexfridman   Medium:   / lexfridman   Reddit:   / lexfridman   Support on Patreon:   / lexfridman