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I know developments in physics and mathematics often nourish each other, and at different points in history, physics and math have taken turns leading each other. An example of a physicist "inventing" the required mathematics is Newton and his calculus. At other times, the mathematics have been discovered as a curiosity, and the physicists come along to show where it is used in nature.

My question is: In the current state of affairs, in which fields does the physics lead mathematics?

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