Department of Pure Mathematics
The University of Adelaide
AUSTRALIA 5005
Phone: +61 8 8303 3528
Fax: +61 8 8303 3696
Email: cokeefe@maths.adelaide.edu.au
Research Interests - My main research interests lie
within the field of finite geometry and its applications. In
particular, uch of my research deals with the construction,
characterisation and classification of interesting configurations
in projective and polar spaces. Examples of such configurations
include: ovals, hyperovals, arcs, unitals, ovoids, spreads, flocks,
herds and subquadrangles of generalized quadrangles. I have also
investigated the application of geometric techniques in other
related fields such as design theory, information security and the
modelling of spatial memory in animals and humans.
Flock Related References
C.M. O'Keefe and T. Penttila.
Characterisations of flock quadrangles.
submitted.
C.M. O'Keefe and J.A. Thas.
Partial flocks of quadratic cones with a point vertex in PG(n,q)
n, odd.
J. Alg. Combin., 6:377-392, 1997.
C.M. O'Keefe and J.A. Thas.
Collineations of Subiaco and Cherowitzo hyperovals.
Bull. Belg. Math. Soc., 3:179-193, 1996.
C.M. O'Keefe and T. Penttila.
Hyperovals in PG(2,16).
European J. Combin., 12:51-59, 1991.
C.M. O'Keefe and T. Penttila.
Polynomials for Hyperovals of Desarguesian Planes.
J. Austal. Math. Soc. (Series A), 51:436-447, 1991.
C.M. O'Keefe and T. Penttila.
Polynomials Representing Hyperovals.
Research Report 26, Department of Mathematics, University of Western
Australia, June 1989.
T. Penttila and C.M. O'Keefe.
Groups of flock quadrangles.