![[From the portrait by Tom Wise at St. John's College]](images/A3.jpg)
The picture above is from the portrait (August 2001) by Tom Wise at St. John's College
Reader in Mathematical Physics
Fellow of St. John's College
Research interests to 2005
Symmetries, Supersymmetry
Integrable Systems, Gaudin models, coset space models
Tensorial structures of classical Lie algebras,
antisymmetric tensors, Casimir operators and related indices.
Exceptional Lie algebras: unified treatment of
irreps in n-fold products of the adjoint representation, and of
associated tensors
Research interests 2008-13
Compound matrices, additive compound matrices and
generalisations thereof
Sequences of discrete variables used in the algebraic
study of Jacobi (tridiagonal) matrices
Generating functions of such sequences for the classical
orthogonal polynomials, including the Jacobi polynomials
Use of such sequences to paramertrise the elements
of the matrices of the QR algorithm
The paper MorleyTricorn.ps is in user/ajm/Papers2009
Papers 2009
There are (January 2013) two new papers in user/ajm/Papers2013
Papers2013
Paper2013a has title: The QR algorithm and QD algorithm applied to Jacobi matrices : parametrisation of all the elements of all their matrices using the elements of a single sequence of discrete variables.
Paper2013b has title: On the compound matrices and symmetric matrix functions of a given symmetric matrix
Address :
DAMTP,
Centre for Mathematical Sciences,
Wilberforce Road,
Cambridge CB3 0WA
E-mail:
A.J.Macfarlane@damtp.cam.ac.uk
Telephone : +44 1223 3 37874
Fax : +44 1223 7 66883
The complete set of lecture notes for O5 Electromagnetism (2002) are in user/ajm/notes.
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