• Information geometry. A family of probability distributions can be viewed as a submanifold of the space of all probability distributions. The Fisher information metric gives this the structure of a Riemannian manifold. One can then apply geometric notions such as projection, connections and curvature to diverse problems in probability, statistics and optimization.
• Pensions. Applying stochastic modelling techniques to pensions investments. For example, using such techniques to investigate the UK governments auto enrolment policy.
• Twistor Geometry. Twistor geometry relates the conformal geometry of 4 manifolds to the complex geometry of complex 3 manifolds. What happens to the objects of classical geometry in CP3 when they are viewed through the lens of conformal geometry?

John is a lecturer in financial mathematics, probability in statistics.

John has extensive industry experience in financial computing. He co-founded Yolus, developed their industry leading risk management system and was an Executive Director in Operations Technology at Goldman Sachs.

Before working in finance John was a lecturer at Trinity College Oxford. He completed a doctorate in differential geometry at Wadham College, Oxford under the supervision of Simon Salamon following an BA in mathematics, also at Wadham.

Information geometry, stochastic filtering, pensions, twistor geometry.

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