We prove the periodicity conjecture for pairs of Dynkin diagrams using Fomin-Zelevinsky's cluster algebras and their (additive) categorification via triangulated categories. Journal Information Annals ...
If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua Zahl and Hong Wang, that special interest was the Kakeya conjecture. “I read ...
Seaweed? Worms? Bad hair day? The animation below is a new way to look at the Collatz conjecture, one of the most high-profile open problems in mathematics. The conjecture is easy to explain, given ...
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