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Generations of researchers have pursued his “Langlands program,” which seeks to create a grand unified theory of mathematics.
By 1913, Albert Einstein had nearly completed general relativity. But a simple mistake set him on a tortured, two-year reconsideration of his theory. Today, mathematicians still grapple with the issues he confronted.
A new study challenges one of the most celebrated and controversial ideas in network science.
Simple math shows how widespread vaccination can disrupt the exponential spread of disease and prevent epidemics.
The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.
Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.