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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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