I am now a Fellow of the Institute of Mathematics and its Applications.
I have just been elected to the London Mathematical Society Council.
The book is now available from CUP (above link), also Amazon
An errata page will appear soon :(
My two graduate students, Tania Goncalves and Jun Zhao successfully defended their PhD theses at the end of 2010, congratulations to them both! Even better, they are staying on in Kent for a while and we are all working on various projects. Here is a great photo of us at the FoCM '08 banquet in Hong Kong, where Jun, Tania and Andy Wheeler presented posters.
This year I am teaching on MA593/MA561 Lie groups and algebras, and Multi variable calculus. Every other year I teach Mathematics and Music, which involves Chladni patterns on drums, digital signal processing ie recording music, and the next time I do it, music composition.
I sit on the Research Committee of the Institute of Applied Mathematics.
I am Vice Chair of ACM's SIGSAM, Special Interest Group in Symbolic and Algebraic Manipulation. I am on the Steering Committee and the Program Committee of ISSAC 2010 which is the annual conference associated with SIGSAM.
I am currently on the EPSRC Strategic Advisory Team for the mathematics program.
I am a board member for the Society for the Foundations of Computational Mathematics. I co-organised the Symbolic Analysis Workshop of three (!) FoCM conferences.
Last year I was part of the official delegation of the London Maths Society to the International Congress of Mathematics in Hyderabad, India.
In Amsterdam, Applied Geometric Algebras in Computer Science and Engineering
In Munich, ISSAC 2010 I was on the programme committee.
In Hyderabad, ICM where I was a delegate of the LMS.
In Brisbane, the Australian maths Society conference where I was a plenary speaker.
In Budapest, Hungary, the FOCM 2011 was as fabulous as usual. I was involved in the Symbolic Analysis workshop.
I organised a mini-symposium at Equadiff with Snorre Christiansen on Geometric algorithms for partial differential equations.
In Montreal, I attended the Workshop on Moving frames in Geometry.
Boundary Value Problems for linear elliptic and integrable PDEs Edinburgh (UK) in the week May28-June1 2012.
International Symposium on Symbolic and Algebraic Computation (ISSAC) Grenoble, 22-25 July, 2012.
Just finished Research Funding
My previous EPSRC grant, "Symmetric variational
problems", which funded Tania and Jun, is now just finshed. A brief description is
here
The MAPLE package Indiff is now available. This is a set of functions designed to calculate reductions and compatibility conditions of systems of equations referred to a moving frame. The theory is discussed in " Algorithms for symmetric differential systems", J. Foundations of Comp. Math.,1 (2001) 335-383. The Short Manual contains installation instructions for UNIX, a guide to the procedures and three worked examples. There are two versions of the code, a readlib version and a version suitable for generic platforms (non readlib version, ie, maple just reads the file in whole, and you don't use the with command). I currently have this working for Maple 9. The Maple worksheets for the examples in the manual are for invariant differentation, an over determined system, and a classification problem.
Noether's Second Theorem for smooth and discrete systems.
Digital Atlases and Difference Forms Plenary talk at ISSAC '08, Linz.
Discrete Variational Methods Plenary talk at FoCM, Santander.
Moving Frames and Noether's Theorem, and/or invariant ODE and/or curvature flows.
Discrete gradients
Moment maps for discrete symplectic mappings. Available from the Isaac Newton Institute website, Discrete Integrable Systems and Special Functions workshop.
On a variational complex for difference systems
Towards a variational complex for finite element systems
A simple criterion for involutivity
On Moving Frames and Noether's Theorem with Tania Goncalves. To appear in Studies in Applied Mathematics.
Discrete variational calculus for B-spline Approximated Curves with Jun Zhao.
Noether's Theorem for Smooth, Difference and Finite Element Systems , in FoCM Santander 2005. Eds: Pardo, Pinkus, Suli and Todd. CUP 2006.
A variational complex for difference equations with Peter Hydon (Surrey). Now available from Journal of Foundations of Computational Mathematics.
Towards a variational complex for the Finite Element Method with Reinout Quispel (LaTrobe). In a CRM Proceedings for the workshop on Group Theory and Numerical Analysis
Difference Forms with Peter Hydon, Journal of Foundations of Computational Mathematics.
Evolution of Curvature Invariants and Lifting Integrability, with Peter van der Kamp, Journal of Geometry and Physics
Symmetry Group Analysis of the Shallow Water and Semi-Geostrophic Equations with Nicoleta Bila and Peter Clarkson, in Quarterly Journal of Mechanics and Applied Mathematics
