3 papers
math.CO2021
Minor-closed classes of binary functions
Benjamin R. Jones
Binary functions are a generalisation of the cocircuit spaces of binary matroids to arbitrary functions. Every rank function is assigned a binary function, and the deletion and con…
math.NT2020
Finding Elliptic Curves With Many Integral Points
Benjamin Jones
In this paper we construct parameterizations of elliptic curves over the rationals which have many consecutive integral multiples. Using these parameterizations, we perform searche…
math.CO2020
On the Rank Functions of Powerful Sets
Benjamin Jones
A set of subsets of a finite set is \emph{powerful} if, for all , the number of subsets of in is a power of 2. Each powerful set is assoc…