#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
0:002:47:26
Speed
Listening elsewhere? Jump this view to your spot.
About this episode
<p>Jordan Ellenberg is a mathematician and author of Shape and How Not to Be Wrong. Please support this podcast by checking out our sponsors:<br />
– <b>Secret Sauce</b>: <a href="https://wondery.com/shows/secret-sauce/">https://wondery.com/shows/secret-sauce/</a><br />
– <b>ExpressVPN</b>: <a href="https://expressvpn.com/lexpod">https://expressvpn.com/lexpod</a> and use code LexPod to get 3 months free<br />
– <b>Blinkist</b>: <a href="https://blinkist.com/lex">https://blinkist.com/lex</a> and use code LEX to get 25% off premium<br />
– <b>Indeed</b>: <a href="https://indeed.com/lex">https://indeed.com/lex</a> to get $75 credit</p>
<p><b>EPISODE LINKS:</b><br />
Jordan’s Website: <a href="http://www.jordanellenberg.com">http://www.jordanellenberg.com</a><br />
Jordan’s Twitter: <a href="https://twitter.com/JSEllenberg">https://twitter.com/JSEllenberg</a></p>
<p><b>PODCAST INFO:</b><br />
Podcast website: <a href="https://lexfridman.com/podcast">https://lexfridman.com/podcast</a><br />
Apple Podcasts: <a href="https://apple.co/2lwqZIr">https://apple.co/2lwqZIr</a><br />
Spotify: <a href="https://spoti.fi/2nEwCF8">https://spoti.fi/2nEwCF8</a><br />
RSS: <a href="https://lexfridman.com/feed/podcast/">https://lexfridman.com/feed/podcast/</a><br />
YouTube Full Episodes: <a href="https://youtube.com/lexfridman">https://youtube.com/lexfridman</a><br />
YouTube Clips: <a href="https://youtube.com/lexclips">https://youtube.com/lexclips</a></p>
<p><b>SUPPORT & CONNECT:</b><br />
– Check out the sponsors above, it’s the best way to support this podcast<br />
– Support on Patreon: <a href="https://www.patreon.com/lexfridman">https://www.patreon.com/lexfridman</a><br />
– Twitter: <a href="https://twitter.com/lexfridman">https://twitter.com/lexfridman</a><br />
– Instagram: <a href="https://www.instagram.com/lexfridman">https://www.instagram.com/lexfridman</a><br />
– LinkedIn: <a href="https://www.linkedin.com/in/lexfridman">https://www.linkedin.com/in/lexfridman</a><br />
– Facebook: <a href="https://www.facebook.com/lexfridman">https://www.facebook.com/lexfridman</a><br />
– Medium: <a href="https://medium.com/@lexfridman">https://medium.com/@lexfridman</a></p>
<p><b>OUTLINE:</b><br />
Here’s the timestamps for the episode. On some podcast players you should be able to click the timestamp to jump to that time.<br />
(00:00) – Introduction<br />
(06:44) – Mathematical thinking<br />
(10:21) – Geometry<br />
(14:58) – Symmetry<br />
(25:29) – Math and science in the Soviet Union<br />
(33:09) – Topology<br />
(47:57) – Do we live in many more than 4 dimensions?<br />
(52:28) – How many holes does a straw have<br />
(1:01:53) – 3Blue1Brown<br />
(1:07:40) – Will AI ever win a Fields Medal?<br />
(1:16:05) – Fermat’s last theorem<br />
(1:33:23) – Reality cannot be explained simply<br />
(1:39:08) – Prime numbers<br />
(2:00:37) – John Conway’s Game of Life<br />
(2:12:29) – Group theory<br />
(2:15:45) – Gauge theory<br />
(2:23:47) – Grigori Perelman and the Poincare Conjecture<br />
(2:33:59) – How to learn math<br />
(2:41:08) – Advice for young people<br />
(2:43:13) – Meaning of life</p>