Category Archives: exposition

a post aimed to teach something

A mathematical promenade

Posted on 20/10/2018 by

I haven’t posted for a while; I have been in China where the firewall allows me to read WordPress but not to post. Normal service now resumed (hopefully). Given four real polynomials, all of which vanish at the origin, suppose … Continue reading →

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Dugald Macpherson’s birthday meeting

Posted on 27/09/2018 by

Still catching up on the backlog: last week I was in Edinburgh for a meeting at ICMS for Dugald Macpherson’s birthday. The ICMS has just moved to new premises at the top of the University of Edinburgh’s new Bayes Centre, … Continue reading →

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The existential transversal property

Posted on 21/08/2018 by

One of the first things that João Araújo introduced me to when we started collaborating, after synchronization, was the universal transversal property: a permutation group G on the set {1,…,n} has the k-universal transversal property (k-ut for short) if, given … Continue reading →

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The infinite lottery

Posted on 25/05/2018 by

Probability is a mathematical subject where the application of the results to the real world remains controversial, and different schools of thought flourish. Littlewood, in his Miscellany, discusses this, and comes firmly to the conclusion that probability theory can say … Continue reading →

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Scottish Combinatorics Meeting 2018

Posted on 29/04/2018 by

Last week saw the fourth annual Scottish Combinatorial Meeting in Edinburgh, in the Informatics Forum at the University of Edinburgh. The building was new to me, but easy enough to find, and having a terrace with a fine view of … Continue reading →

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Polynomially bounded orbit counts

Posted on 12/04/2018 by

The best news I had yesterday was an email from Justine Falque with a link to a paper that she and Nicolas Thiéry have just put on the arXiv. The 12-page document is only the “short version”, and a longer … Continue reading →

Posted in exposition, open problems | Tagged , , | 2 Comments

Integrals of groups

Posted on 28/03/2018 by

Everyone who has studied mathematics knows what the derivative and integral of a function are. The derivative measures rate of change, the integral (the inverse operation) measures area under a curve. They are inverse operations; and two functions have the … Continue reading →

Posted in doing mathematics, exposition | Tagged , , , | 2 Comments