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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.
33
votes
Your favorite surprising connections in mathematics
My favorite connection in mathematics (and an interesting application to physics) is a simple corollary from Hodge's decomposition theorem, which states:
On a (compact and smooth) riemannian manifold …
3
votes
Applications of PDE in mathematical subjects other than geometry & topology
In principle a big set of functiontheory (i.e. the theory of complex differentiable functions) is the application of the results for harmonic functions:
mean value property
analyticity
Liouville's t …