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- Algorithmic Game Theory: Past, Present, and Future
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- Igor Pak: How I chose Enumerative Combinatorics
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Noga Alon and Udi Hrushovski won the 2022 Shaw Prize
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Past and Future Events
- Joshua Hinman proved Bárány’s conjecture on face numbers of polytopes, and Lei Xue proved a lower bound conjecture by Grünbaum.
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
Top Posts & Pages
- Algorithmic Game Theory: Past, Present, and Future
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
- The Argument Against Quantum Computers - A Very Short Introduction
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Combinatorics, Mathematics, Academics, Polemics, ...
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- TYI 30: Expected number of Dice throws
- Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectation-thresholds
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Category Archives: Mathematics over the Internet
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
31 Comments
A new PolyTCS blog!
A new PolyTCS blog The PolyTCS Project is a new blog to run collaborative Theoretical Computer Science projects. The initiative is by two graduate students Rupei Xu and Chloe Yang. The logo was designed by Grigory Yaroslavtsev. At this stage … Continue reading
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
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, Mathematics over the Internet, Physics, Updates
Tagged Gina Says, World Scientific
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
Posted in Combinatorics, Mathematics over the Internet, Movies, Music, Sport, Updates
Tagged Polymath12
1 Comment
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
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 Ernie Croot, Joel Moreira, Peter Pach, Vsevolod Lev
6 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
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
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 polymath10, sunflower conjecture
104 Comments