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Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics more inclusive.
Why do mathematicians enjoy proving the same results in different ways?
New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.
Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.
The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems.
A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?