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

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