University of Bath
Here is a very short paper which generalizes the classical Simson line of Euclidean Geometry so that is becomes a theorem of projective geometry. It is A Projective Simson Line, and the diagram on page 2 says it all.
In the Autumn semester of 2015 I lecture the course MA10209 which is an introduction to algebra. There is a course diary where you will can find lecture notes and all manner of supporting material. I have written and edited some books which you must purchase otherwise you will contract a horrible disfiguring disease (see picture). The most widely used in universities, especially by the students of MA10209, is the steamy Introductory Mathematics: Algebra and Analysis which is aimed at people making the transition from school mathematics to university-style pure mathematics.
Here is an extensive collection of geometry articles by the late Christopher Bradley.
Here is advice for young mathematicians concerning secondary school maths competitions, and directions to past problems archives.
Here is a trailer the dramatic comedy film X + Y, a love story set in the context of the IMO. In the trailer you may be able to spot real IMO personalities Joseph Myers and Lee Zhao amongst the actors. It went on general release in the UK on March 13 2015. Here is the IMDb database entry for X+Y. Eddie Marsan plays the UK IMO team leader.
Here is a local Olympiad Maths Club which is hosted by the University of Bath and UKMT during term time.
Past maths competition reports, including facetious and implausible leaders' diaries.
Dr Geoff Smith MBE Email: G.C.Smith@bath.ac.uk Department of Mathematical Sciences Tel: +44 (0)1225 386182 (direct) University of Bath Fax: +44 (0)1225 386492 Bath BA2 7AY Room: 4W2.16 England UKMT vice chair of the trust, chair of the BMO, chair of the IMO advisory board and @GeoffBath advisory board member of EGMO