Daniel Ruberman: Mathematics, Topology and Manifolds #5

Here is a conversation I've had with Daniel Ruberman, Professor of Mathematics.

Daniel's website: https://people.brandeis.edu/~ruberman/

Find Back to the Stone Age on:

• YouTube: https://youtube.com/playlist?list=PLZrhMJ5eusE_ACw6Ec3TqCbvDVZ6HP809&si=WhVnrLLAUuYW-Any
• Spotify: https://open.spotify.com/show/3pT8MUeR8bskcsuu8gmUGK
• Apple Podcast: https://podcasts.apple.com/us/podcast/back-to-the-stone-age/id1741219288

Outline

00:16 - Is math invented or discovered?

05:30 - Mathematics and the physical world

28:02 - Topology

38:00 - Manifolds and smooth manifolds

52:31 - Higher dimensions and low-dimensional topology

01:04:39 - Intuition about 4th dimension

01:24:01 - Gauge theories

01:38:02 - Knots and manifolds

01:44:33 - Applications of knot theory and topology

01:50:28 - Infinity

01:56:38 - Final thoughts

Enjoy Back to the Stone Age!