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Claude resolves 87-year-old math problem
A mathematician, with the help of an artificial intelligence model, has found a counterexample to the Jacobian conjecture, one of the most famous open problems in mathematics since 1939. The researcher demonstrated that a function with a Jacobian determinant of -2 can send different points to the same output, making it non-invertible despite violating the assumptions underlying the conjecture. These results, based on AI technology, showcase the ability of machines to identify exceptional cases in complex fields and open new horizons for using artificial intelligence in mathematical research. However, the research is still in its early stages and has not yet led to a definitive resolution of the problem in two dimensions.
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