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Department of Mathematics
Numbers & Codes
Mathematics Summer School, 29–30 June, 2000
supporting MATHS YEAR 2000

STOP PRESS:   Professor Sir Andrew Wiles, FRS, will be speaking at this Summer School

Number theory has in the past been considered to be the purest of pure mathematics. For many the subject still has a fascination just for its own sake, and the recent solution of the famous Fermat’s Last Theorem has been a source of increased interest in number theory. In addition, in recent years there have also emerged some significant applications. Among these are cryptography, error correcting codes and various other kinds of coding, and these in turn have important uses in computer security and for electronic signatures.

This course aims to demonstrate the beauty of pure mathematics and the elegance of many of the results and proofs in the subject. The talks will present some accessible topics in number theory. British number theorists are among the world leaders in the subject and lectures will be given by mathematicians both from within the University of London and from the country at large. There will also be accounts of some of the exciting applications and these will show the usefulness of mathematics outside the traditional range of applications to the physical sciences.

The programme for this Summer School will include:

Dr Simon Singh: Anonymous heroes of cryptography
Simon Singh obtained his PhD in physics from Cambridge. He directed and co-produced the BAFTA award-winning BBC Horizon documentary Fermat’s Last Theorem, and wrote a No.1 best-seller with the same title. His new book is called The Code Book.

Professor F C Piper: An introduction to cryptography
Professor Fred Piper is from the Department of Mathematics and is Head of the Information and Security Group at Royal Holloway College, University of London.

Professor R Hill: Error correcting codes
Professor Ray Hill is the author of a widely used undergraduate textbook on coding theory and many research papers on combinatorics, coding theory, and finite geometry. He is Professor of Mathematics at Salford University.

Professor Michael Walker: Authentication, information and numbers
Professor Walker is head of research at Vodafone. He also holds the Chair of Telecommunications at Royal Holloway.

Dr A Hodges: Alan Turing and the Enigma
Andrew Hodges is a research worker in Oxford and the author of a biography of Alan Turing.

Dr Richard Pinch: How to share a secret
Richard Pinch is a number theorist who worked in Cambridge University for many years before moving to GCHQ where he now applies his theoretical work.

Dr D J Burns: Prime numbers
David Burns is a Reader in Mathematics at King’s. He is one of Britain’s young stars in number theory and was recently awarded the prestigious Whitehead Prize for his research.

Professor Martin Taylor FRS: Fermat's last theorem
Martin Taylor obtained his PhD from King’s, and is now a Professor at UMIST. He is President of the London Mathematical Society.

The programme will also include workshops on puzzles and problems in number theory and applications.

The puzzles, problems, and their solutions are now available here .

This Summer School is for A-level mathematics students and their teachers. Attendance is free of charge. To register contact: Mrs Patricia Evans, Senate House (Room 229), University of London, Malet Street, London WC1E 7HU. Telephone 020 7862 8034.

Limited accommodation is available for Wednesday and Thursday night, 28 & 29 June, free to bona-fide A-level mathematics students who live beyond commuting distance. For details, contact Miss Hilary Morton, Department of Mathematics, King’s College, Strand, London WC2R 2LS. Telephone 020 7848 2216. Email maths@kcl.ac.uk