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Category Archives: Mathematics

Three little things I learnt recently

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 […]

Reflections on reading the Polymath8(a) paper

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 […]

Trace functions, a survey

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 works-in-progress or partial notes (some with results we did not need or use and […]

James Maynard, auteur du théorème de l’année

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 […]

Our research institute has a nicer logo than yours

Here is the logo of the new Institute for Theoretical Studies of ETH: