Professor R Hill
Contact details
Room number: LG8
Tel: +44 (0) 161 2954635Research interests
Coding theory, Finite geometry, Combinatorics, Group theory, Probability and Statistics.
Biography
I obtained my BSc (First Class Honours) in Mathematics from the University of Manchester in 1967. I gained an MSc (1968) and PhD (1971) in Mathematics from the University of Warwick, under the supervision of Professor Sandy Green. After working for two years as a Temporary Lecturer at the University of Nottingham, I was appointed Lecturer in Mathematics at the University of Salford in 1973. I was promoted to Senior Lecturer in 1985, to Reader in 1992, and to a Personal Chair in 1999. I took early retirement in 2000 and now have an appointment at Salford as Honorary Professor.
I have published over 50 research papers on group theory, finite geometry, coding theory and combinatorics. My book “A First Course in Coding Theory” (Oxford University Press, 1986) has sold over 11,000 copies. In 2002, this book was adopted as core text for the Open University Master’s Module M836 – Coding Theory.
I have given over 60 conference talks, including main invited speaker at the British Association for the Advancement of Science (1980 and 1989), Fortieth British Mathematical Colloquium (1988), Second IMA Conference on Cryptography and Coding (1989), Fifteenth British Combinatorial Conference (1995), and many overseas conferences. I have given invited seminars at over 30 universities, including Oxford (three times), Cambridge, and Massachusetts Institute of Technology.
My external appointments include Membership (1983-87) and Secretary (1984-87) of the British Combinatorial Committee, Editorial Board of “Serdica” (1994-2004), Editorial Board of “Designs, Codes and Cryptography” (2003-present), Member of Organizing Committee for a series of International Workshops on Optimal Codes held in Bulgaria (1995, 1998, 2001), Member of Organizing Committees for IMA Conferences “Applications of Finite Fields” and “Applications of Combinatorial Mathematics” (1994), and EPSRC Panel Member (1998).
I supervised PhD students John Mason, David Newton, Karen Traynor, Phil Greenough, Pawel Lizak, Chris Jones, Jehangir Karim and Chris Love.
I have had the pleasure of collaborating with many distinguished mathematicians, such as:
- Ivan Landjev (Bulgarian Academy of Sciences), who spent two years with me at Salford , first as a Royal Society Visiting Fellow, then as an EPSRC funded Visiting Fellow, working on optimal code problems.
- Emil Kolev (Bulgarian Academy of Sciences), who was also a year-long Royal Society Visiting Fellow.
- Elwyn Berlekamp (MIT), with whom Jehangir Karim and I solved a famous long-standing problem of Ulam (how to win a game of “Twenty Questions” against a liar).
- Thann Ward (University of Virginia), who has worked with me at Salford on a number of short visits. Together with Ivan Landjev and Simeon Ball, Thann and I have carried out some novel research on multi-arcs in finite geometries and their links with codes.
- Tatsuya Maruta (University of Osaka), who spent a year (and several shorter visits) with me at Salford, and who has greatly extended my initial work on extendibility of codes.
- Leo Storme (University of Ghent), with whom, together with other collaborators, we have made progress on cap problems in finite geometry.
My main research career has centred on coding theory and finite geometry, and particularly on the interplay of these two topics.
Since my early retirement in 2000, I have branched into a quite new direction, namely the use (or misuse) of probability and statistics in criminal trials. I worked for the defence teams of mothers such as Sally Clark, Angela Cannings and Trupti Patel, who not only suffered the tragic sudden unexplained deaths of two or more babies, but were then, on the basis of flawed statistical evidence, accused of their murder. My work towards proving the innocence of these mothers has led to publications in medical and statistical journals, as well as invitations to speak at mathematical, statistical, medical and legal conferences. The work has also attracted a fair amount of media coverage. My papers (listed below) on this topic are available in electronic form on request from r.hill@salford.ac.uk.
- “Cot death or murder – weighing the probabilities”, Developmental Physiology Conference, June 2002. [Download Word document]
- “Multiple sudden infant deaths – coincidence or beyond coincidence?”, Paediatric and Perinatal Epidemiology, 18 (2004), 320-326. [Download as PDF]
- “Reflections on the cot death cases”, Significance, 2 (2005), 13-15. [Download as PDF]