|
Research interests
My research interests extend from cosmology to the origin of urban myths, but a theme running through much of my work is the application of mathematics to questions often thought beyond the reach of detailed analysis. For example: how do we capture the idea of plausibility in assessments of some new supposed health risk ? Is there any good evidence for "paranormal" phenomena ? When should we put our trust in predictions of, say, earthquakes, and when should we ignore them ? It's a pretty vast field, and pretty under-explored one, but it often turns out that the truth is much more interesting that one might believe.....
For a list of my research papers, click here. Recent projects include:
- An easy-to-use method for assessing the plausibility of statistical findings (click here to
use the technique to assess the plausibility of new clinical trial findings);
- The use and abuse of subjectivity in scientific research, and its role in a major scandal
whose impact on the reliability of research findings across the entire scientific spectrum is still not fully appreciated;
- Bayesian analysis of evidence for anomalous phenomena, such as ESP and homoeopathy;
- Investigating whether a bizarre cosmic "coincidence" first noted by Paul Dirac in the
1930s can explain a number of major problems in cosmology and quantum field theory;
- Using Decision Theory to analyse the vexed question of whether it will ever be possible to
predict major earthquakes. The polite mathematical version is available here . The bar- room version is: "Stop wasting everyone's time and money, guys - you can't do it". The results have interesting implications for deciding when to take an umbrella following a forecast of rain .
- Applying Bayesian inference theory to the analysis of legal evidence such as confessions
(which turn out to be especially unreliable in terrorist cases)
- Using probability theory to explore the reasons why people reach for paranormal
explanations of "spooky" coincidences and to predict real-life coincidences
- The training of neural networks to recognise literary styles , and the use of such networks
to cast light on literary mysteries such as Marlowe's influence on the young William Shakespeare
- Extracting a (surprisingly accurate) value for "pi" from the appearance of the night sky
- Analysis of urban myths, such as manifestations of Murphy's Law - "If it can go wrong, it
will". Published results cover the notorious examples of tumbling toast landing butter- side down, why there are so many odd socks in our drawers, why rope, string or flex so often seems to acquire knots , and why places you're looking for so often lie in awkward places on maps . My research here has led to a cover feature in Scientific American (April 1997), a Discourse to the Royal Institution of Great Britain , a feature in Reader's Digest (March 1998; I must tell mum), and various awards.
|