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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.

11 votes

What are some examples of colorful language in serious mathematics papers?

According to the book "King of Infinite Space" Coxeter, "tickled his readers with unexpected turns of phrase such as": ... dividing the product of the first three expressions by the product of the la …
15 votes

What are some mathematical sculptures?

Adding to the list two of my favorite mathematical sculptors: George Hart: http://www.georgehart.com/sculpture/sculpture.html Bathsheba: http://www.bathsheba.com/ Finally, there are a lot of nice …
43 votes

Most intricate and most beautiful structures in mathematics

The (stable or unstable) homotopy groups of spheres are certainly considered intricate and beautiful by topologists. Here is an interesting (obvious) fact about the stable homotopy groups of spheres …
22 votes

Why do wedges of spheres often appear in combinatorics?

One way to approach this question quantitatively is suggested by probability. One can put various measures on the space of all simplicial complexes on $n$ vertices. One perhaps fairly natural measur …
Matthew Kahle's user avatar
47 votes

Which math paper maximizes the ratio (importance)/(length)?

Kahn and Kalai's, "A counterexample to Borsuk's conjecture" is a 3-page paper which settles a sixty-year-old conjecture with an explicit counterexample in $\mathbb{R}^{1325}$ (and in all sufficiently …