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Annals of Mathematics, SECOND SERIES, Vol. 187, No. 1 (January, 2018), pp. 241-262 (22 pages) ...

Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...

When a legendary mathematician found a mistake in his own work, he embarked on a computer-aided quest to eliminate human error. To succeed, he has to rewrite the ...

If you thought the mathematical proofs you did in high school were long, you haven’t seen the newest one out of the University of Liverpool — computer scientists Alexei Lisitsa and Boris Konev came up ...

Calcea Johnson and Ne'Kiya Jackson, who surprised the math world when they produced innovative solutions to a 2,000-year-old puzzle, wowed the math world again when they presented several new ways of ...