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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.

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 …
kostja's user avatar
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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 …