Have all math problems been solved? What is mathematical research?

Have all math problems been solved? What is mathematical research?

In this video, we look at some commonly asked questions concerning what mathematicians do. The following questions are addressed in the video, with relevant time stamps:

0:28 What is mathematical research?
0:53 How do you find a problem to work on?
4:46 How do you start working on a problem?
7:10 What do you do when you’re totally stuck?
9:49 Do you revise old (or undergraduate) material?

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To learn how I make these animations using Grant Sanderson’s (3Blue1Brown) program Manim, check out my quick intro to Manim on Skillshare: https://www.skillshare.com/r/profile/Kyle-B/344454857

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These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.

These videos are made using the open-source library — Manim — created by 3blue1brown: https://github.com/3b1b/manim

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