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# Author Archives: Peter Cameron

## 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

## Hirst prize and lecture

Yesterday the London Mathematical Society held a meeting in St Andrews to celebrate the award of the inaugural Hirst Prize to my colleagues John O’Connor and Edmund Robertson. The prize is named after Thomas A. Hirst, 5th president of the … Continue reading

Posted in events, history
Tagged Al-Khwarizmi, Edmund Whittaker, Euclid, Isaac Newton, James Gregory, Lagrange, MacTutor History of Mathematics, Nathan Jacobson, Omar Khayyam
1 Comment

## Thoughts on topology

As well as Advanced Combinatorics, I have been teaching Topology this semester. This is something I had not taught for many years. I was only teaching half the module: the first half had been given, and the notes prepared, by … Continue reading

Posted in teaching
Tagged Axiom of Choice, Baire Category Theorem, metric spaces, product spaces, Tychonoff's theorem
4 Comments

## Advanced Combinatorics: the St Andrews lectures

Three years ago, when I joined the School of Mathematics and Statistics at the University of St Andrews, it was suggested that I might like to give a final year MMath module on “Advanced Combinatorics”. No compulsion. Well, of course … Continue reading

Posted in Lecture notes
Tagged Catalan numbers, chromatic polynomial, cycle index, doocot principle, enumeration, formal power series, Friendship Theorem, Gaussian coefficients, generalised line graphs, generalised quadrangles, IBIS groups, line graphs, Mathieu groups, matroid, Moebius inversion, orbit-counting lemma, projective planes, root systems, strongly regular graphs, symmetric Sudoku, triangle property, Tutte polynomial, weight enumerator
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## Symmetries in light

Last night was the opening in St Andrews of an exhibition Symmetries in Light at the Byre Theatre. The exhibition, which ran in Edinburgh during Science Week there, is in St Andrews on four days starting today; so, if you … Continue reading

Posted in history, technology
Tagged David Brewster, kaleidoscopes, polarisation, Shinichi Ohkuma
2 Comments

## 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

## Mercator

Mercator (the Flemish cartographer Gerard de Kremer) produced his famous map projection in 1569. This is a method for mapping the curved surface of the earth on a plane map which is conformal (that is, angles are preserved, and hence … Continue reading

Posted in history
Tagged loxodromic curve, Mercator's projection, Pedro Nunes, rhumb line
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