Category Archives: Mathematics over the Internet

Frankl’s Conjecture for Large Families: Ilan Karpas’ Proof

Frankl’s conjecture asserts that a for every finite family of of finite sets that is closed under union, there is an element that belongs to at least half the sets in the family. We mentioned the problem in our very … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Open problems | Tagged , , , | 12 Comments

My Very First Book “Gina Says”, Now Published by “World Scientific”

I just received an advanced copy of my very first book: “Gina Says: Adventures in the Blogsphere String War” published by Word Scientific. It is a much changed version compared to the Internet version of 8 years ago and it … Continue reading

Posted in Academics, Combinatorics, Mathematics over the Internet, Physics, Updates | Tagged , | 3 Comments

Timothy Chow Launched Polymath12 on Rota Basis Conjecture and Other News

Polymath12 Timothy Chow launched polymath12 devoted to the Rota Basis conjecture on the polymathblog. A classic paper on the subject is the 1989 paper by Rosa Huang and Gian Carlo-Rota. Let me mention a strong version of Rota’s conjecture (Conjecture … Continue reading

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Polymath 10 post 6: The Erdos-Rado sunflower conjecture, and the Turan (4,3) problem: homological approaches.

In earlier posts I proposed a homological approach to the Erdos-Rado sunflower conjecture.  I will describe again this approach in the second part of this post. Of course, discussion of other avenues for the study of the conjecture are welcome. The purpose … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Open problems, Polymath10 | Tagged , | 6 Comments

More Math from Facebook

David Conlon pointed out to two remarkable papers that appeared on the arxive: Joel Moreira solves an old problem in Ramsey’s theory. Monochromatic sums and products in . Abstract: An old question in Ramsey theory asks whether any finite coloring … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Updates | Tagged , , , | 4 Comments

Polymath10-post 4: Back to the drawing board?

It is time for a new polymath10 post on the Erdos-Rado Sunflower Conjecture. (Here are the links for post1, post2, post3.) Let me summarize the discussion from Post 3 and we can discuss together what directions to peruse. It is … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Polymath10 | 12 Comments

News (mainly polymath related)

Update (Jan 21) j) Polymath11 (?) Tim Gowers’s proposed a polymath project on Frankl’s conjecture. If it will get off the ground we will have (with polymath10) two projects running in parallel which is very nice. (In the comments Jon Awbrey gave … Continue reading

Posted in Combinatorics, Conferences, Mathematics over the Internet, Polymath10, Polymath3, Updates | Tagged , , , , , , , | 11 Comments

Polymath 10 Post 3: How are we doing?

The main purpose of this post is to start a new research thread for Polymath 10  dealing with the Erdos-Rado Sunflower problem.  (Here are links to post 2 and post 1.) Here is a  very quick review of where we … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Open problems, Polymath10 | Tagged , | 104 Comments

Joel David Hamkins’ 1000th MO Answer is Coming

Updates (May 2014): The second MO contributor to answer 1000 questions is another distinguished mathematician (and a friend) Igor Rivin.  In summer 2015 David Speyer joined the club. (May 2018) Igor is the first MO user to have 2000 posts (Questions+Answers)! … Continue reading

Posted in Mathematical logic and set theory, Mathematics over the Internet | Tagged , | 3 Comments

Polymath 8 – a Success!

Yitang Zhang Update (July 22, ’14). The polymath8b paper “Variants of the Selberg sieve, and bounded intervals containing many primes“, is now on the arXiv. See also this post on Terry Tao’s blog. Since the last update, we also had here … Continue reading

Posted in Mathematics over the Internet, Number theory, Open problems | Tagged , , , , | 10 Comments