Preferences in quadrangles reconsidered.

Resolving Conflicting Preferences in School Choice: The “Boston” Mechanism Reconsidered

Conservation Reconsidered, The Economics of Natural Environments, and Our Understanding of Environmental Preferences

Local Sharply Transitive Actions on Finite Generalized Quadrangles

We classify the finite generalized quadrangles containing a line L such that some group of collineations acts sharply transitively on the ordered pentagons which start with two points of L. This can be seen as a generalization of a result of Thas and the second author [22] classifying all finite generalized quadrangles admitting a collineation group that acts transitively on all ordered pentago...

Intriguing sets of partial quadrangles

The point-line geometry known as a partial quadrangle (introduced by Cameron in 1975) has the property that for every point/line non-incident pair (P, `), there is at most one line through P concurrent with `. So in particular, the well-studied objects known as generalised quadrangles are each partial quadrangles. An intriguing set of a generalised quadrangle is a set of points which induces an...

Spreads and ovoids of finite generalized quadrangles

We survey recent results on spreads and ovoids of finite generalized quadrangles. Included in the survey are results on ovoids of PG(3, q); translation ovoids of Q(4, q); characterisations of generalized quadrangles using subquadrangles and ovoids of subquadrangles; and spreads of T2(Ω).