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

Lex Fridman Lex Fridman 6/13/21 - Episode Page

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/

YouTube Full Episodes: https://youtube.com/lexfridman

YouTube Clips: https://youtube.com/lexclips

SUPPORT & CONNECT:

– Check out the sponsors above, it’s the best way to support this podcast

– Support on Patreon: https://www.patreon.com/lexfridman

– Twitter: https://twitter.com/lexfridman

– Instagram: https://www.instagram.com/lexfridman

– LinkedIn: https://www.linkedin.com/in/lexfridman

– Facebook: https://www.facebook.com/lexfridman

– Medium: https://medium.com/@lexfridman

OUTLINE:

Here’s the timestamps for the episode. On some podcast players you should be able to click the timestamp to jump to that time.

(00:00) – Introduction

(06:44) – Mathematical thinking

(10:21) – Geometry

(14:58) – Symmetry

(25:29) – Math and science in the Soviet Union

(33:09) – Topology

(47:57) – Do we live in many more than 4 dimensions?

(52:28) – How many holes does a straw have

(1:01:53) – 3Blue1Brown

(1:07:40) – Will AI ever win a Fields Medal?

(1:16:05) – Fermat’s last theorem

(1:33:23) – Reality cannot be explained simply

(1:39:08) – Prime numbers

(2:00:37) – John Conway’s Game of Life

(2:12:29) – Group theory

(2:15:45) – Gauge theory

(2:23:47) – Grigori Perelman and the Poincare Conjecture

(2:33:59) – How to learn math

(2:41:08) – Advice for young people

(2:43:13) – Meaning of life