Personal Chair
Mathematics
Telephone: (01792) 602760
Room: Office - 319
Third Floor
Computational Foundry
Bay Campus

I took my early education in Forres and headed south to Heriot-Watt University for my BSc and PhD studies, completing my PhD in the summer of 1982. During this period in Edinburgh I married but also pandered to my interests in running, racquet sports and audio-visual work.

I headed south (again) to take up a postdoctoral position in the Department of Mathematics (University College Swansea as it was then). A fixed term lectureship followed and this led on to a permanent position in 1988.

My duties had the usual profile early on. Teaching duties leaned towards applied mathematics, probability and mathematical physics and that broad flavour has persisted with only the addition of numerical mathematics. I have supervised research students and many taught masters students over the years.

Research was initially focussed on functional integration and applications with special interest in asymptotic expansions, a recurrent theme in my work. Ventures into many-body dynamics, stochastic mechanics, stochastic differential equations and latterly stochastic partial differential equations followed. There have been a number of collaborations with colleagues in other subject areas (bioscience and engineering mainly) resulting in published works. One recurrent theme has been my involvement in the running of international conferences and (smaller) workshops. Consequently, I have edited five volumes of conference proceedings. Tied to this activity has been a successful record in securing funding. Furthermore, I have been involved large bids to research councils and, notably, was PI for an institutional bid.

Administration, of varying types and levels, has always played a large part in my work. There used to be a considerable support of TeX and Macintosh computers (hardware, firmware, netware, software & wetware). I served as Deputy Head of the College of Science from October 2014 till the end of July 2019.

I hold memberships of the AMS, IMA and SIAM.

Areas of Expertise

  • Functional Integration
  • Asymptotics
  • Stochastic analysis

Publications

  1. & Laplace expansions of conditional wiener integrals and applications to quantum physics. In S Albeverio, P Combe and M Sirugue-Collin (Ed.), Stochastic Processes in Quantum Theory and Statistical Physics : Lecture Notes in Physics. (pp. 40-55). Berlin: Springer-Verlag.
  2. & Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. Journal of Mathematical Physics 23(11), 2059-2070.
  3. & On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender–Wu formula for x2N-anharmonic oscillators. Journal of Mathematical Physics 24(2), 255-266.
  4. & Classical periodic solutions of the equal-mass 2n-body problem, 2n-ion problem and the n-electron atom problem. Physics Letters A 99(1), 15-18.
  5. & Laplace asymptotic expansions of conditional Wiener integrals and generalised Mehler kernel formulae for Hamiltonians on L2(Rn). Journal of Physics A: Mathematical and General 17(14), 2773-2789.

See more...

Teaching

  • CSC005 Computational Probability

    This module gives students an understanding of Monte Carlo methods, which use random simulation to computationally solve physical problems which may be difficult if not impossible to solve analytically. The delivery style of the module is very much tutorial in nature: only basic programming and probability theory will be taught and required, with the module concentrating on practical weekly lab-based problem-solving sessions.

  • MA-009 Computational Probability

    This module gives students an understanding of Monte Carlo methods, which use random simulation to computationally solve physical problems which may be difficult if not impossible to solve analytically. The delivery style of the module is very much tutorial in nature: only basic programming and probability theory will be taught and required, with the module concentrating on practical weekly lab-based problem-solving sessions.

  • MA-242 Classical Mechanics (of Rigid Bodies)

    This course develops advanced concepts in classical mechanics. It begins with simple two body problems and problems with rotating frames of reference and then moves onto consider problems involving rigid body motion. It concludes with an introduction to special relativity.

Administrative Responsibilities

  • Chair of Learning and Teaching - College of Science

    2012 - 2014

  • Deputy Head of College

    2015 - 2019

Career History

Start Date End Date Position Held Location
1982 1984 Senior Research Assistant Department of Mathematics
1984 1996 Lecturer Department of Mathematics
1996 2008 Senior Lecturer Department of Mathematics
2008 2014 Reader Department of Mathematics
2014 Present Professor Department of Mathematics