- AlexFest: 60 Faces of Groups
- Postoctoral Positions with Karim and Other Announcements!
- AviFest, AviStories and Amazing Cash Prizes.
- Polymath 10 post 6: The Erdos-Rado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
- Polymath 10 Emergency Post 5: The Erdos-Szemeredi Sunflower Conjecture is Now Proven.
- Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
- More Math from Facebook
- The Erdős Szekeres polygon problem – Solved asymptotically by Andrew Suk.
Top Posts & Pages
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- The Simplex, the Cyclic polytope, the Positroidron, the Amplituhedron, and Beyond
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- When It Rains It Pours
- Believing that the Earth is Round When it Matters
- Amazing: Peter Keevash Constructed General Steiner Systems and Designs
- In how many ways you can chose a committee of three students from a class of ten students?
- A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
- Why Quantum Computers Cannot Work: The Movie!
Monthly Archives: December 2008
An Understanding of our fundamental limitations is among the most important contributions of science and of mathematics. There are quite a few cases where things that seemed possible and had been pursued for centuries in fact turned out to be … Continue reading
Debates are fascinating human activities that are a mixture of logic, strategy, and show. Not everybody shares this fascination. The German author Emil Ludwig considered debates to be the death of conversation. Jonathan Swift regarded debates as the worst … Continue reading
Controversies and debates in and around science – between researchers within the same discipline, between competing theories, between competing fields, and between accepted scientific viewpoints and viewpoints rooted outside science – are common. Is there global warming and is it … Continue reading
Three dear friends, colleagues, and teachers Lior Tzafriri, Aryeh Dvoretzky and Michael Maschler passed away last year. I want to tell you a little about their mathematics. Lior Tzafriri ( 1936-2008 ) Lior Tzafriri worked in functional analysis.
Laci and Kati This is the first of a few posts which are spin-offs of the extremal combinatorics series, especially of part III. Here we talk about Lovasz’s geometric two families theorem. 1. Lovasz’s two families theorem Here … Continue reading
Imre Barany, Rade Zivaljevic, Helge Tverberg, and Sinisa Vrecica Recall the beautiful theorem of Tverberg: (We devoted two posts (I, II) to its background and proof.) Tverberg Theorem (1965): Let be points in , . Then there is a partition of … Continue reading
Nebi Samuel It was a long night after crossing the Atlantic. I got to the airport and indeed the big signs of ‘Welcome’ and “TAAM SHEL BAIT” (taste of home) had a special appeal. It was 3:30 in the … Continue reading
Coming back from Hinxton, the most exciting genome center in the world and the most boring place after 5pm… At 5:30, a shuttle bus takes all the ‘workers’ to the big city – to Cambridge. The shuttle bus dropped us … Continue reading
Question: Let be the cube in centered at the origin and having -dimensional volume equal to one. What is the maximum -dimensional volume of when is a hyperplane? Can you guess the behavior of when ? Can you guess the plane which … Continue reading