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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

1 vote

Changing PhD supervisor 18 months into 4 year PhD

I think I can offer some wisdom on this. I struggled in the first year of a PhD in computer science but I succeeded at the end and gained a scholarship. My second year, however, didn't improve despi …
James Smith's user avatar
0 votes

Mathematical games interesting to both you and a 5+-year-old child

Possibly a bit much for a five year old, but Penrose tiling? With coloured card and round-nosed scissors, of course...
9 votes

Illustrating mathematics with wysiwyg tools

I can recommend Ipe from personal experience, although it has been a few years since I've used it. It is a little clunky, but it will dovetail with your version of LaTeX quite well. You can add pream …
2 votes

In what respect are univalent foundations "better" than set theory?

Let me try to answer the question in an oblique way. I should apologise in advance for the poor quality scan below. I have been thinking about the distinction it illustrates quite a bit lately and thi …
1 vote

Excellent uses of induction and recursion

I came across this one browsing old questions under the logic tag. Here's proof of the Principle of Induction: https://openmathematics.org/#induction The GitHub repository URL is available in the …
3 votes

An example of a beautiful proof that would be accessible at the high school level?

The most success I have ever had teaching proofs at secondary school level is with the Peaucellier–Lipkin linkage. The proof relies on nothing more than basic geometry, namely similar triangles, but t …