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: https://twitter.com/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: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 Clips playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOeciFP3CBCIEElOJeitOr41 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: https://twitter.com/lexfridman - LinkedIn: https://www.linkedin.com/in/lexfridman - Facebook: https://www.facebook.com/lexfridman - Instagram: https://www.instagram.com/lexfridman - Medium: https://medium.com/@lexfridman - Reddit: https://reddit.com/r/lexfridman - Support on Patreon: https://www.patreon.com/lexfridman