Prof. Malcolm A.H. MacCallum
Emeritus Professor of Applied Mathematics, Queen Mary University of London
Deputy President,
International Society on General Relativity and Gravitation
Member, Research Policy Committee,
London Mathematical Society
Chair, Advisory Board, University of York Mathematics Department
Director,
Heilbronn Institute for Mathematical Research (200912)
Visiting Professor,
Department of Mathematics, University of Bristol
(200912)
President,
International Society on General Relativity and Gravitation (201013)
This page gives information on:
Updated 23 December 2013
Disclaimer: Any opinion or statement on this page or other
pages by me is my responsibility alone. This page has not been
reviewed or approved by Queen Mary, University of London.
Prof. Malcolm A.H. MacCallum


Most aspects of classical nonNewtonian gravity theory.
Computer algebra applied to differential equations (nothing to do with
gravity).
In general relativity and gravity theory, my
particular interests are in anisotropic and/or inhomogeneous cosmologies,
especially Bianchi cosmologies; exact solutions of the Einstein
equations; applications of algebraic computing; theory of
gravitational waves; black holes; and asymptotics. I have also written on
twistor theory, and thermodynamics.
In computer algebra, I am interested in use of computer algebra
systems in teaching and research, in particular the use of REDUCE and
SHEEP, in the design and use of manipulators for tensors in
differential geometry and gravity theory, and in the solution of
ordinary differential equations.
My early work, beginning with my Ph.D., initially under the late Dennis
Sciama and subsequently under George Ellis, was in spatiallyhomogeneous
relativistic cosmological models (later to be mentioned in Ellis's FRS
citation!). Ellis and I provided the first comprehensive overview of
the nontilted cases, giving a classification, metric forms, various
exact solutions, general theorems, and first treatments of the
observational and dynamical properties. This led naturally, because
those models provided the early examples, to an interest in the early
days of quantum cosmology. It also led to an interest in covariant
methods and exact solutions in cosmology, areas in which I have
continued to work throughout my career.
During a visit by the late Abe Taub to Cambridge, he became interested in my
explanation of why the obvious reduced Lagrangian for
spatiallyhomogeneous relativistic cosmologies gave wrong answers in
certain cases. He arranged for me to visit Berkeley in 1971 to work on
that, and then again the next year for work on the averaged Lagrangian
for gravitational waves. The resulting interest in waves has again
continued.
Stephen Hawking arranged a series of lectures by Penrose on
twistors. My notes on this, originally intended just for private
circulation, grew into a wellknown review, jointly with Penrose.
After moving to London, through Bill Bonnor I met the late Hans
Stephani who soon afterwards asked me to work with him (and Dietrich
Kramer and Eddie Herlt) on a book on exact solutions, which came out
in 1980. This is now (for all of us) our most widelycited work. It
led to a series of papers on exact solutions in various contexts, a
topic on which I still work. A second edition of the book itself, with
Cornelius Hoenselaers as fifth author, appeared in 2003, and a
corrected paperback edition in 2009.
The 1970s work on the book showed me that some computer algebraic methods were
needed. My student Gordon Joly researched possible systems and we made
contact with Inge Frick and Jan Åman, authors of SHEEP and
CLASSI. Through them I became involved in the equivalence of
geometries, following the ideas of Cartan as developed by Anders
Karlhede. Stephen Siklos also played a role in development of my ideas
here. The theory and practice in this area has led to another still
continuing area of work. Later it tied up with work on
asymptotics of spacetimes (with, perhaps, links to gravitational wave
theory), in particular with Piotr Chrusciel and Jacek Jezierski.
Contact with computer algebra led me to start to use it in teaching
and other research, and the teaching use, as well as a role as editor
on a book by Stephani on Lie symmetry methods, led me to research in
its use for differential equations. This has become a research interest
independent of the relativity work.
Professor Malcolm A.H. MacCallum,
M.A., Ph.D., F.R.A.S., F.Inst.P.
Current status
Emeritus Professor of Applied Mathematics,
Queen Mary, University of London
Deputy President,International Society on General Relativity and Gravitation
Chair, Advisory Board, University of York Mathematics Department
Previous positions
University of Bristol:
Director, Heilbronn Institute for Mathematical Research, and
Visiting Professor of Mathematics, University of Bristol (200912)
Queen Mary University of London (Queen Mary College until 1989,
then
Queen Mary and Westfield College 19892013, with working name
Queen Mary, University of London)
Professor of Applied Mathematics 19862009;
VicePrincipal for Science and Engineering 20025;
Head of the Department of Computer Science, 19992002;
Dean of the Faculty of Informatics and Mathematical Sciences 198790
and 19961999;
Director of Mathematics 199396;
Reader in Applied Mathematics, 19816;
Lecturer in Applied Mathematics, 197681
Queens' College, City University of New York, Visiting Distinguished
Professor of Physics (Fall semester 1991)
Institut Henri Poincaré, Université Paris VI, Laboratoire de
Physique Théorique, Chercheur Associé 1991 (3 months)
Monash University, Melbourne, 1988: Visiting Professor
University of Catania, Sicily, 1977 and 1978: Visiting Professor
King's College, Cambridge 197076: Financial Tutor 197276;
Acting Director of Studies in Mathematics 1974;
Assistant Lecturer in Mathematics and Official Fellow 197076
University of California, Berkeley, 1971 and 1972: Research
Mathematician
Membership of international bodies and learned societies
International Society on General Relativity and Gravitation:
Deputy President, 201316; President 201013; Secretary and Treasurer
19952010; Founder Member 1971; Nominating Committee 198086;
Committee 198392, 1995; member, Scientific Committee, 10th
Conference (GR10),
Padua, 1983; GR12, Boulder 1989; GR15, Pune, 1997;
GR16, Durban, 2001; GR17, Dublin 2004; GR18, Sydney, 2007; GR19,
Mexico City, 2010; GR20, Warsaw 2013.
Chairman, Scientific Committee, GR11, Stockholm 1986.
From 19892009 I ran an information service for researchers in
gravity, sponsored by the GRG Society and now hosted at the Albert Einstein
Institute: see the Hyperspace Web site.
``General Relativity and Gravitation'': Associate Editor,
2006
``Classical and Quantum Gravity": (First) Honorary Editor,
19841988. Editorial Board 19926
``Journal of Symbolic Computation": Applications Section Editor
19872001
London Mathematical Society: Council 19972003; Research
Policy Committee 200814; Women in Mathematics Committee 19992004;
Prizes Committee 20056; Nominating Committee, elected 20068,
appointed 2000 and 2002; Computer Systems Group (Chair; later
Convenor) 20004; Finance Committee, 19982002;
Applied Mathematics Working Group (Convenor) 19982000; Building
Working Party 19978.
Member, International Astronomical Union
(and Commission 47: Cosmology).
General chair, ISSAC 94, International Symposium on Symbolic
and Algebraic Computation, Oxford, U.K.
Higher Education
King's College, Cambridge 196370 (Open Scholar 19635, Senior Scholar
196566)
Degrees
B.A. (Cantab.) with First Class Honours in the Mathematics Tripos Part I
(1964), Prelims to Part II (1965), and Part II (1966), and Distinction
in Part III (1967).
M.A. (Cantab.) 1970
Ph.D. (Cantab.) 1971
Other activities
Member, Subpanel 21 (Applied Mathematics), RAE2008 (UK Research
Assessment Exercise) 20058.
Member, Mathematical Sciences SubCommittee, University Grants
Committee, 19881989 and
Mathematical Sciences Research Assessment Panel, Universities
Funding Council, 1989: adviser to Applied Mathematics Research
Assessment Panel, HEFCE 2001.
(Also numerous London University and Queen Mary bodies).
Publications
I have published over 140 papers, review articles and books: a full list is available from this Web page. I have
also written parts of the widelydistributed computer algebra system
for relativity, SHEEP/CLASSI, and a simple ODE solver for REDUCE, now
in the distributed REDUCE library.
 M.A.H. MacCallum
Exact solutions of Einstein's field equations
Scholarpedia 8(12), 8584 (2013)
Available on line .
 M.A.H. MacCallum and W. Kundt
Editorial note to: Pascual Jordan, Jürgen Ehlers and Rainer K. Sachs,
Contributions to the theory of pure gravitational radiation. Exact solutions
of the field equations of the general theory of relativity II
Gen. Rel. Grav. 45, 26832689 (2013).
 A. Krasinski, G.F.R. Ellis, and M.A.H. MacCallum (editors)
Golden Oldies in General Relativity: Hidden Gems
Springer, Heidelberg (2013).
 M.A.H. MacCallum
Mathematics in security and intelligence
Science in Parliament 69(2), 2126 (2012)
Contribution to 'Mathematics Matters', a session organised by the Parliamentary
and Scientific Committee with the Council for the Mathematical Sciences, on
15 March 2012. Reprinted in Mathematics Today, vol 48, no. 4, p. 160.
 G.F.R. Ellis, R. Maartens, and M.A.H. MacCallum
Relativistic cosmology
Cambridge University Press, Cambridge (2012).
 M.A.H. MacCallum
Editorial note to: T. LeviCivita, The physical reality of some normal
spaces of Bianchi and to: Einsteinian $ds^2$ in Newtonian fields IX:
The analog of the logarithmic potential
Gen. Rel. Grav. 43, 22972306 (2011).
 J. Gariel, M.A.H. MacCallum, G. Marcilhacy, and N.O. Santos
Kerr Geodesics, the Penrose Process and Jet Collimation by a Black
Hole
Astron. Astrophys. 515, A1519 (2010)
Available on line .
 A. Coley, S. Hervik, W.C. Lim, and M.A.H. MacCallum
Properties of kinematic singularities
Class. Quant. Grav. 26, 215008 (2009)
Available on line .
 A. Di Prisco, L. Herrera, M.A.H. MacCallum, and N.O. Santos
Shearfree cylindrical gravitational collapse
Phys. Rev. D 80, 064031 (2009)
DOI: 10.1103/PhysRevD.80.064031
Available on line .
 H. Stephani, D. Kramer, M.A.H. MacCallum, C.A. Hoenselaers, and E.
Herlt
Exact solutions of Einstein's field equations, 2nd edition
Cambridge University Press, Cambridge (2003)
Corrected Paperback edition, 2009.
 M.A.H. MacCallum and A.V. Mikhailov (editors)
Algebraic Theory of Differential Equations
LMS Lecture Notes series, Cambridge University Press, Cambridge (2009).
This subpage gives access to a complete list of my publications in
refer or BibTeX
format. The refer format list includes work in preparation ('refer' is
a standard Berkeley Unix bibliographic program: the GNU (and hence
Linux) version differs slightly. BibTeX is the bibliographic package
designed to work with LaTeX)
The same list is also available in HTML
form suitable for reading in the browser.
Posting these was a condition of the grants
And some links just for fun or interest