Research

I work as part of the Mathematical Modelling in Finance and Economics Group in which we model financial systems with uncertain price and uncertain physical flow, leading to non-linear PDEs which must be solved numerically. I have investigated such systems in the world of finance, banking, renewable energy, mining, and Revenue Management systems. If you are interested in a PhD or want to know a bit more then head over to the Mathematical Finance page in MIMS.

Teaching

I currently teach MATH60082 Computational Finance to MSc students and will start teaching the third year course MATH39032 Mathematical Modelling in Financial this year. I run introductory courses for the postgrad students on Unix, Latex and using the NAG library, and have in the past given courses on Fortran, C++, matlab and gnuplot. Notes, examples and lectures are all available in the teaching section of my website.

Personal

I've been living, studying and working at University of Manchester for over twenty five years, completing my BSc, MSc, PhD and post doc work in the department! My wife and I have two daughters, aged 11 and 14, so most of my spare time now revolves them! I love playing and watching football but as the years catch up on me I've had to hang up my boots.


Latex: Demonstration Part 1

A very VERY short introduction to latex, just to get you started.

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Latex: Demonstration Part 2

Some more complicated concepts, to help you write a thesis.

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Unix: Unix Lecture

A lecture demonstrating some simple unix commands.

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Unix: Useful Commands

Some useful commands you might need.

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Unix: Examples Sheet

Some examples to try to get you used to the command line.

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MFW: Workshop Lecture

Research: Capital ideas: optimal capital accumulation strategies for a bank and its regulator

Glover, Kristoffer J; Johnson, Paul V; Evatt, Geoffrey W; and Cheng, Mingliang; "Capital ideas: optimal capital accumulation strategies for a bank and its regulator", The European Journal of Finance


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Research: Optimal trading with regime switching

Johnson, Paul; Szabó, Dávid Zoltán; and Duck, Peter; "Optimal trading with regime switching: Numerical and analytic techniques applied to valuing storage in an electricity balancing market", European Journal of Operational Research

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