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: 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