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astounding mathematical complexityQuanta Magazine
•88% Informative
Ashwin Sah and Mehtaab Sawhney have written 57 math proofs together, many of them profound advances in various fields.
The proof joins a long line of work on the mathematical impossibility of complete disorder.
It marks the first progress in decades on one of the biggest unsolved problems in combinatorics.
In 2022 , Leng , Sah and Sawhney solved Szemerédi ’s theorem, proving a better bound on the size of the largest sets that avoid arithmetic progressions of any given length.
Their work is the first advance on the problem in the 23 years since Gowers ’ proof.
Mathematicians feel that this result can be improved even further.
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