Wednesday, January 1, 2014
In no particular order, and with no relevance whatsoever to the beginning of the year, here are three mathematical facts I learnt in recent months which might belong to the “I should have known this” category: (1) Which finite fields have the property that there is a “square root” homomorphism i.e., a group homomorphism such […]
Earlier today, I finished reviewing the Polymath8 paper (except for the last section, which is a discussion of possible improvements to some of the results in the paper; this is now a bit obsolete, and will probably be deleted). Since the discussion on the project (and on the paper in particular) is almost entirely available […]
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Sunday, November 24, 2013
At last count, my series of works with Étienne Fouvry and Philippe Michel on trace functions and their applications consists of seven research papers or preprints, amounting to a bit more than 200 pages. To these are added a number of worksinprogress or partial notes (some with results we did not need or use and […]
Thursday, October 24, 2013
How many times in a year is an analytic number theorist supposed to faint from admiration? We’ve learnt of the full three prime Vinogradov Theorem by Helfgott, then of Zhang’s proof of the bounded gap property for primes. Now, from Oberwolfach, comes the equally (or even more) amazing news that James Maynard has announced a […]
Monday, September 30, 2013
Here is the logo of the new Institute for Theoretical Studies of ETH: