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Recent Posts
 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!
 Combinatorial Convexity: A Wonderful New Book by Imre Bárány
 Chaim EvenZohar, Tsviqa Lakrec, and Ran Tessler present: The Amplituhedron BCFW Triangulation
 Ehud Friedgut: How many cubes of 2×2×2 fit into a box of size 8×4×3? (TYI 49)
 Is HQCA Possible? A conversation with Michael Brooks
 To cheer you up in difficult times 35 combined with Test Your Intuition 48: Alef’s corner – Jazz and Math
 Reflections: On the Occasion of Ron Adin’s and Yuval Roichman’s Birthdays, and FPSAC 2021
Top Posts & Pages
 Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
 Joshua Hinman proved Bárány's conjecture on face numbers of polytopes, and Lei Xue proved a lower bound conjecture by Grünbaum.
 TYI 30: Expected number of Dice throws
 Game Theory 2021
 Greatest Hits
 Telling a Simple Polytope From its Graph
 Bálint Virág: Random matrices for Russ
 Past and Future Events
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
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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
30 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 gtheorem 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 gconjecture 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 gconjecture, Hilda Geiringer, Karim Adiprasito, Stavros Argyrios Papadakis, Vasiliki Petrotou
5 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 ErdősFaberLovász 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 ErdősFaberLovász 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, ErdosFaberLovasz conjecture, Tom Kelly
4 Comments
Open problem session of HUJICOMBSEM: 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