### Research
interests.

The main thread in the research, running right back to my D.Phil, is the branching random walk. Recent applications
of the theory to a number of problems in theoretical computer science, and
connections with fractals and non-linear partial differential equations (pdes), have increased the profile
of my work considerably. These avenues (theoretical computer science, fractal
structures and non-linear pdes) continue to reveal
fascinating and challenging problems.

The branching random walk forms part of the general area of
branching processes. I have further papers on other aspects of branching
processes; specifically, the collaborations with J. D'Souza,
N.H. Bingham, O. Nerman and H. Cohn represent work on
different areas under this heading.

In addition there is one series of papers (with C. Cannings) that deals with a problem in probability theory
outside branching processes, a recent excursion into random walk theory, and
another in large deviations and, with D. Penman, into random graphs.

For some years I had an interest in the statistical issues
involved in combining and scaling examination marks. This falls within the
psychometric tradition in statistics, and it is rather different from the
probability theory that is my main interest. It turns out that examination
marks provide an interesting example of the need for these techniques that
throws up some new and interesting theoretical problems. I have supervised a
successful research student (K.K. Yue)

in this area.

Finally, I have a few papers that are the result of
providing statistical expertise to colleagues outside Mathematics. The most
notable are a series of collaborations with T.R. Birkhead
FRS.

List of publications, List of past research
student,

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