Author Archives: Peter Cameron

About Peter Cameron

I count all the things that need to be counted.

Peter Sarnak’s Hardy Lecture

Yesterday, Peter Sarnak gave the London Mathematical Society’s 2020 Hardy Lecture (remotely). He talked about gaps in the spectra of connected cubic graphs. It was a talk properly described as a tour de force, applying to the problem ideas from … Continue reading

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National Windrush Day

Today is National Windrush Day. I’d like to put on record (for what it’s worth) my wholehearted support and sympathy for the Windrush generation. Although I have never suffered the ill-treatment meted out to some of the Windrush generation by … Continue reading

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Jan Saxl

This morning brought the news that Jan Saxl died on Saturday. Jan arrived in Britain in the early autumn of 1968, as did I: a very significant time for Czechoslovakia. (I spent six weeks in Earls Court, in London, before … Continue reading

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S. S. Shrikhande

News reached me today of the death of S. S. Shrikhande, at the age of 102. I have written about him before; in particular, here, I discussed two things for which he was perhaps best known, which can bear repeating. … Continue reading

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The geometry of diagonal groups

This is an interim report on ongoing work with Rosemary Bailey, Cheryl Praeger and Csaba Schneider. We have reached a point where we have a nice theorem, even though there is still a lot more to do before the project … Continue reading

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John Conway

News came this morning that John Conway has died. I hardly know where to begin paying tribute to such a polymath. But perhaps I will just tell a story which shows several things about him, not least his breadth of … Continue reading

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The B. B. Newman Spelling Theorem

This is a guest post by Carl-Fredrik Nyberg Brodda, a recent Masters student at St Andrews and currently a PhD student at the University of East Anglia. The story has personal resonance for me, because it turns out that B. … Continue reading

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More on derangements

Francis Bacon, in The New Organon, developed a famous metaphor: Those who have handled sciences have been either men of experiment or men of dogmas. The men of experiment are like the ant, they only collect and use; the reasoners … Continue reading

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Carlo Casolo

Terrible news: Carlo Casolo died last week, possibly of a heart attack. I have one paper with him, on “Integrals of groups”, published last year. In February, as I reported, I visited Florence to carry on with this work and … Continue reading

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Hall’s Marriage Theorem

Philip Hall was one of the greatest group theorists of the twentieth century. But it may well be that he is known to more people for a result which on the face of it is pure combinatorics, with nothing to … Continue reading

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