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Monthly Archives: January 2021
Possible future Polymath projects (2009, 2021)
What will be our next polymath project? A polymath project (Wikipedia) is a collaboration among mathematicians to solve important and difficult mathematical problems by coordinating many mathematicians to communicate with each other on finding the best route to the solution. … Continue reading
Posted in Combinatorics, Mathematics over the Internet, Open discussion
Tagged polymath, Polymath proposals, Tim Gowers
32 Comments
Peter Cameron: Doing research
Originally posted on Peter Cameron's Blog:
Probably every research mathematician has been asked the question, “How do you do mathematical research?” Some lay people think we simply figure out ways of doing bigger and bigger long multiplications. Many more…
To cheer you up in difficult times 18: Beautiful drawings by Neta Kalai for my book: “Gina Says”
In 2009 I wrote a book “Gina Says” that appeared here on the blog, about the adventures of “Gina” in the blogsphere. In 2017 the book (edited and shortened a little) appeared in “world scientific.” The most important additions were … Continue reading
Amazing: Simpler and more general proofs for the g-theorem by Stavros Argyrios Papadakis and Vasiliki Petrotou, and by Karim Adiprasito, Stavros Argyrios Papadakis, and Vasiliki Petrotou.
Stavros Argyrios Papadakis, Vasiliki Petrotou, and Karim Adiprasito In 2018, I reported here about Karim Adiprasito’s proof of the g-conjecture for simplicial spheres. This conjecture by McMullen from 1970 was considered a holy grail of algebraic combinatorics and it resisted … Continue reading
Posted in Algebra, Combinatorics, Geometry
Tagged g-conjecture, Hilda Geiringer, Karim Adiprasito, Stavros Argyrios Papadakis, Vasiliki Petrotou
8 Comments
Igor Pak: What if they are all wrong?
Originally posted on Igor Pak's blog:
Conjectures are a staple of mathematics. They are everywhere, permeating every area, subarea and subsubarea. They are diverse enough to avoid a single general adjective. They come in al shapes and sizes. Some…
Posted in Combinatorics, Computer Science and Optimization, Geometry, What is Mathematics
Tagged Igor Pak
7 Comments
To cheer you up in difficult times 17: Amazing! The Erdős-Faber-Lovász conjecture (for large n) was proved by Dong Yeap Kang, Tom Kelly, Daniela Kühn, Abhishek Methuku, and Deryk Osthus!
Dong Yeap Kang, Tom Kelly, Daniela Kühn, Abhishek Methuku, and Deryk Osthus have just uploaded a paper to the arXive, A proof of the Erdős-Faber-Lovász conjecture. (I am thankful to Nati Linial and Ryan Alweiss for telling me about it.) … Continue reading
Posted in Combinatorics, Updates
Tagged Abhishek Methuku, Daniela Kühn, Deryk Osthus, Dong Yeap Kang, Erdos-Faber-Lovasz conjecture, Tom Kelly
4 Comments
Open problem session of HUJI-COMBSEM: Problem #5, Gil Kalai – the 3ᵈ problem
This post continues to describe problems presented at our open problems session back in November 2020. Here is the first post in the series. Today’s problem was presented by me, and it was an old 1989 conjecture of mine. A … Continue reading
To cheer you up in difficult times 16: Optimism, two quotes
A timely quote “If there’s so much shit around, there has to be a pony somewhere.” Arundhati Roy, The God of Small Things and Give me a couple of years free from other duties, and I shall complete the task … Continue reading
Combinatorics and more 