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gowers.wordpress.com
| | polymathprojects.org
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| | The previous research thread for the Polymath7 project"the Hot Spots Conjecture" is now quite full, so I am now rolling it over to a fresh thread both to summarise the progress thus far, and to make it a bit easier to catch up on the latest developments. The objective of this project is to prove...
| | terrytao.wordpress.com
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| | [This post is dedicated to Luca Trevisan, who recently passed away due to cancer. Though far from his most significant contribution to the field, I would like to mention that, as with most of my ot...
| | a3nm.net
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| | List of open questions
| | xorshammer.com
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| Mathematical logic has a categorization of sentences in terms of increasing complexity called the Arithmetic Hierarchy. This hierarchy defines sets of sentences $latex \Pi_i$ and $latex \Sigma_i$ for all nonnegative integers $latex i$. The definition is as follows: $latex \Pi_0$ and $latex \Sigma_0$ are both equal to the set of sentences $latex P$ such that...