Department of Mathematics
Royal Holloway University Of London

EPSRC/HIMR CASE studentship

Salem numbers, Pisot numbers, graphs, and matrices

A CASE (Cooperative Award in Science and Engineering) project entitled Salem number, Pisot numbers, graphs, and matrices has been funded by the EPSRC, with additional sponsorship by the Heilbronn Institute for Mathematical Research. This award funds one PhD student for three and a half years, starting in October 2008, to work in the Department of Mathematics, Royal Holloway, University of London, under the supervision of Dr J.F. McKee. The research will be carried out entirely at Royal Holloway. The studentship is open to applicants with a good first degree in Mathematics, in accordance with the usual EPSRC eligibility rules.

 

In order to apply for this studentship, candidates should first make informal enquiries to Dr McKee ( James.McKee@rhul.ac.uk ), followed by a normal application for PhD study at Royal Holloway (see http://www.rhul.ac.uk/graduate-school/ for further details of the application procedure). The closing date for applications is 31 July 2008.

Project description

One gains a better understanding of certain sets of algebraic numbers by associating them with combinatorial objects. In a series of papers, McKee and Smyth have used graphs, signed graphs, coloured graphs, and integer symmetric matrices to study Pisot numbers and Salem numbers. A PhD student is sought to help to develop this recent and exciting work. There are several possible lines of research, and the one followed would be determined by the student's own interests and growing expertise under the supervision of Dr McKee. The study of combinatorial objects lends itself to computational work, and for this purpose the student would be supported in learning to use relevant computer packages. No previous knowledge of Salem numbers or Pisot numbers is required: the topic is accessible to anyone with a good first degree in Mathematics. For further details, please contact James.McKee@rhul.ac.uk .


Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX
Tel/Fax: +44 (0)1784 443093/430766