Design Research Group
It is to be noted that when any part of this paper appears dull there is
a design in it.
Sir Richard Steele

Welcome to the Design Research Group, part of the
Mathematics Research Centre
at Queen Mary, University of London.
From here, you can access pages about
or you may read on to find out about the
research interests, recent
publications, maintained Web pages, and
members of the Design Research Group and their work,
and links to lists of publications and seminars.
Further links can be found at the foot of this page.
We welcome visiting students but are unable to offer financial support.
Our research
The area of interest of the group includes:
 combinatorial design (block
designs, Latin squares and generalisations, finite geometries),
 statistical design (design of experiments),
 errorcorrecting codes, matroid theory,
 group theory (especially finite permutation groups and finite
matrix groups),
 computer algebra (especially the use of
GAP and
MAGMA
for investigating discrete and combinatorial structures
and their automorphism groups).
A few recent papers: (names of Queen Mary authors starred)

I. Anderson and D. A. Preece*,
Some powersequence terraces for Z_{pq} with as few
segments as possible,
Discrete Math. 293 (2005), 2959.

R. A. Bailey*,
Balanced colourings of strongly regular graphs.
Discrete Math. 293 (2005), 7390.
 R. A. Bailey* and Peter J. Cameron*,
Crested products of association schemes,
J. London Math. Soc. 72 (2005), 124.

R. A. Bailey*, P. J. Cameron*, P. Dobcsányi*, J. P. Morgan, and
L. H. Soicher*,
Designs on the Web,
Discrete Math., in press.

R. A. Bailey*,
Six families of efficient resolvable designs in three replicates.
Metrika, in press.

R. A. Bailey*,
Generalized wreath products of association schemes.
European Journal of Combinatorics, in press.

B. Bogacka* and F. J. Wright*,
Nonlinear design problem in a chemical kinetic model with
nonconstant error variance:
Journal of Statistical Planning and Inference,
128 (2005), 633648.

P. J. Cameron* and C. R. Johnson,
The number of equivalence classes of symmetric sign patterns,
Discrete Math., in press.

P. J. Cameron* and N. Knarr,
Tubes in PG(3,q),
Europ. J. Combinatorics, in press.

P. J. Cameron*, H. R. Maimani, G. R. Omidi and B. TayfehRezaie,
3designs from PSL(2,q),
Discrete Math., in press.

D. S. Coad* and A. Ivanova,
Sequential urn designs with elimination for comparing
K ≥ 3 treatments.
Statistics in Medicine,
24 (2005), 19952009.

Matthew Fayers*,
Multipleelimination knockout tournaments with the fixedwin property,
Discrete Math. 290 (2005), 8997.

S. G. Gilmour* and L. A. Trinca,
Fractional polynomial response surface models.
Journal of Agricultural, Biological and Environmental
Statistics,
10 (2005), 5060.

B. Jackson* and T. Jordán,
Connected rigidity matroids and unique realizations of graphs,
J. Combinatorial Theory (B) 94 (2005), 129.

J. P. McSorley and L. H. Soicher*,
Constructing tdesigns from twise balanced designs,
Europ. J. Combinatorics, in press.

N. C. K. Phillips, D. A. Preece* and W. D. Wallis,
The seven classes of 5×6 triple arrays,
Discrete Math. 293 (2005), 213218.
Members of the group maintain web pages giving information
about
partial
spreads,
SOMAs,
semiLatin squares,
and permutation groups,
in addition to our
design
resources page. Lecture notes on
Projective and Polar
Spaces, Classical
Groups, and
Polynomial
aspects of codes, matroids and permutation groups are also available,
as well as web pages for books on
Association Schemes
and Partially Balanced Designs,
Combinatorics,
and
Permutation
Groups.
R. A. Bailey is a Past President of the British Region of the
International Biometric Society, P. J. Cameron is Chair of the British
Combinatorial Committee, and L. H. Soicher is a member of the GAP council.
People
The members of the Design Research Group include
Current students in the Design Research Group are:
 Fatma AlKharousi
 John Arhin
 Marta Baba
 Robert Bailey (Web page)
 Kate Bennett
 Josephine Kusuma
 Deborah Lockett
 Rebecca Lodwick (Web page)
 Jason Rudd (Web page)
Current postdoctoral researchers are:
Current visitors are:
Publications and seminars
Departmental lists of publications:
For individuals' publication lists, see their Web pages.
Seminars and study groups:
Other pages
Other relevant pages at Queen Mary:
Sources of funding:
Our logo
The logo of the Design Research Group contains elements of the logos of
Queen Mary and its
Mathematics Research Centre.
The underlying structure can be thought of as a Latin square, a transversal
design, a partial linear space, or a strongly regular graph, or as the
Cayley table of the cyclic group of order 3 in symmetric form.
Peter J. Cameron
27 September 2005