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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.

10 votes

What problem would you base your mathcoin on?

Homotopy groups of spheres. We know far too little about them! It can be made computationally feasible by choosing finite simplicial complexes and allowing subdivision. Maps of simplicial complexes a …
14 votes

Are there examples of non-orientable manifolds in nature?

The two-dimensional real projective space $\mathbb{R}P^2$ also crops up in quantum mechanics in the theory of identical particles, and explains why there are only two possible types of particles in th …