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

Jordan Ellenberg is a mathematician and author of Shape and How Not to Be Wrong. Please support this podcast by checking out our sponsors:

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EPISODE LINKS:

Jordan's Website: http://www.jordanellenberg.com

Jordan's Twitter: https://twitter.com/JSEllenberg



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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