2 papers
math.MG2016
A generalisation of Sylvester's problem to higher dimensions
Simeon Ball, Joaquim Monserrat
In this article we consider to be a set of points in -space with the property that any points of span a hyperplane and not all the points of are contained in a h…
math.CO2014
On the representability of the bi-uniform matroid
Simeon Ball, Carles Padró, Zsuzsa Weiner +1
Every bi-uniform matroid is representable over all sufficiently large fields. But it is not known exactly over which finite fields they are representable, and the existence of effi…