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Ashwin Sah, Mehtaab Sawhney's Math Advances

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Students Find New Evidence of the Impossibility of Complete Disorder

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Ashwin Sah and Mehtaab Sawhney have published 57 math proofs together.

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 the field of combinatorics.

James Leng , a graduate student at UCLA , recently made progress on one of the biggest open problems in combinatorics.

In 2001 , he applied his techniques to Szemerédi ’s theorem, proving a better bound on the size of the largest sets that avoid arithmetic progressions of any given length.

Leng 's work marks the first advance on the problem in 23 years since Gowers ’ proof.

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External references

https://www.quantamagazine.org/mit-undergraduate-math-student-pushes-frontier-of-graph-theory-20201130/https://arxiv.org/abs/2402.17995 https://sites.google.com/view/jamesleng/home https://academic.oup.com/jlms/article-abstract/s1-11/4/261/842087?http://www.ma.huji.ac.il/~tamarz/https://www.quantamagazine.org https://www.quantamagazine.org/infinite-patterns-appear-in-numbers-described-as-moving-systems-20221205/https://yufeizhao.com/https://www.quantamagazine.org/surprise-computer-science-proof-stuns-mathematicians-20230321 https://www.dpmms.cam.ac.uk/~wtg10/https://annals.math.princeton.edu/2012/176-2/p11 https://www.math.ucla.edu/~tao/http://matwbn.icm.edu.pl/ksiazki/aa/aa27/aa27132.pdf https://people.maths.ox.ac.uk/greenbj/https://arxiv.org/abs/1403.2957 https://www.mit.edu/~msawhney/https://www.mit.edu/~asah/index.html https://www.jstor.org/stable/2005105 https://link.springer.com/article/10.1007/s000390050065 https://link.springer.com/article/10.1007/s00039-001-0332-9 https://arxiv.org/abs/2312.10776 https://www.simonsfoundation.org https://www.quantamagazine.org/grad-students-find-inevitable-patterns-in-big-sets-of-numbers-20240805/

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www.quantamagazine.org arxiv.org sites.google.com academic.oup.com www.ma.huji.ac.il yufeizhao.com www.dpmms.cam.ac.uk annals.math.princeton.edu www.math.ucla.edu matwbn.icm.edu.pl people.maths.ox.ac.uk www.mit.edu www.jstor.org link.springer.com www.simonsfoundation.org

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