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

the Queen Mary Centre for Statistics
the Design Theory Resource Server (an EPSRC-funded project)
Design Resources, a page with many links to other web pages on design theory and related areas;
Web-based lecture notes in design theory and related areas;

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),
error-correcting 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 power-sequence terraces for Z_pq with as few segments as possible, Discrete Math. 293 (2005), 29-59.
R. A. Bailey*, Balanced colourings of strongly regular graphs. Discrete Math. 293 (2005), 73-90.
R. A. Bailey* and Peter J. Cameron*, Crested products of association schemes, J. London Math. Soc. 72 (2005), 1-24.
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*, Non-linear design problem in a chemical kinetic model with non-constant error variance: Journal of Statistical Planning and Inference, 128 (2005), 633-648.
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. Tayfeh-Rezaie, 3-designs 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), 1995-2009.
Matthew Fayers*, Multiple-elimination knockout tournaments with the fixed-win property, Discrete Math. 290 (2005), 89-97.
S. G. Gilmour* and L. A. Trinca, Fractional polynomial response surface models. Journal of Agricultural, Biological and Environmental Statistics, 10 (2005), 50-60.
B. Jackson* and T. Jordán, Connected rigidity matroids and unique realizations of graphs, J. Combinatorial Theory (B) 94 (2005), 1-29.
J. P. McSorley and L. H. Soicher*, Constructing t-designs from t-wise 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), 213-218.

Members of the group maintain web pages giving information about partial spreads, SOMAs, semi-Latin 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

Professor R. A. Bailey (Web page)
Dr B. Bogacka (Web page)
Professor Peter J. Cameron (Web page)
Dr Steve Coad (Web page)
Professor Steven G. Gilmour (Web page)
Professor B. Jackson (Web page)
Professor D. A. Preece
Dr L. H. Soicher (Web page)
Dr D. Stark (Web page)

Current students in the Design Research Group are:

Fatma Al-Kharousi
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:

Peter Dobcsányi (Web page)
Mike Newman (Web page)

Current visitors are:

Koko Kayibi
Sam Tarzi (Web page)

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:

EPSRC
Royal Society
EU (TMR and Marie Curie schemes)
MathFIT (Mathematics for Information Technology)

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

Design Theory Pages at Queen Mary:

DesignTheory.org | Resources | Lecture Notes | Design Research Group | Maths Research Centre

Semi-Latin squares | Neighbour-balanced designs | Partial Spreads | SOMAs | Permutation groups

Encyclopaedia of Design Theory