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# Category Archives: Uncategorized

## Keevash on triangle decompositions

Today Peter Keevash finished four and a half hours of lectures on his latest improvement of his result on the existence of designs. I have heard him talk on this before, but in a one-hour talk he had time to … Continue reading

Posted in Uncategorized
Tagged designs, Peter Keevash, Rodl nibble, triangle decompositions
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## Caps in AG(n,3)

For the past week and a half I have done little but mark exam papers. At some point during this, I looked at Tim Gowers’ blog, and read that a very significant improvement had very recently been made on the … Continue reading

Posted in Uncategorized
Tagged additive combinatorics, Ben Green, cap, capset, finite geometry, IMS, linear algebra, NUS, Singapore
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## Right to Work

The latest bureaucratic nightmare to affect universities is Right to Work checks. The covering letter for these regulations asserts the following: Right to Work checks now need to be done for any visitor (in advance to their visit) to the … Continue reading

## Solution to the Clebsch puzzle

Here is the solution to the puzzle about the Clebsch graph I posed at the weekend. Since Gordon and Tony (and probably others) have already solved it, I am giving you my solution now. The puzzle was: Suppose we delete … Continue reading

## A puzzle for you

The Petersen graph is perhaps the most famous graph of all. It has ten vertices, fifteen edges, valency 3, and no triangles. Since the complete graph on ten vertices has 45 edges and valency 9, one might ask whether the … Continue reading

## The Prophet

On Friday, in a bookshop, I picked up a book and started leafing through it. Suddenly, I was transported back more than forty years. In the summer of 1975, before my first child was born, while her mother was doing … Continue reading

Posted in Uncategorized
Tagged Jake Thackray, Kahlil Gibran, Kings Lynn, Norfolk, Thetis Blacker
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## Time allocation survey

The dreaded time allocation survey strikes again. This is the first one I have had to do at St Andrews, though I have grumbled enough about this at Queen Mary. Several things already seem more positive. They warn us in … Continue reading