Community Relations in Northern Ireland: a shift in Attitudes?

The paper presents an analysis of Northern Ireland Social Attitudes data available at the time of writing. Its significance lay in emerging disparities in the responses, over time, of Protestants and Catholics to key social issues such as integrated education. The data, made public just one year after the signing of the Belfast/Good Friday Agreement, generated intense media interest. Findings were reported in 400 outlets worldwide (UU media monitoring). Hughes was also interviewed for local and national news programmes (including BBC World Service). The data informed a decision by Government to undertake a major review of community relations policy, and Hughes was invited to advise the Head of the Northern Ireland review team. She was also invited to Chair the Community Relations Panel of the ESRC Devolution

Graphs of relations and Hilbert series

We are discussing certain combinatorial and counting problems related to quadratic algebras. First we give examples which confirm the Anick conjecture on the minimal Hilbert series for algebras given by $n$ generators and $\frac {n(n-1)}{2}$ relations for $n \leq 7$. Then we investigate combinatorial structure of colored graph associated to relations of RIT algebra. Precise descriptions of graphs (maps) corresponding to algebras with maximal Hilbert series are given in certain cases. As a consequence it turns out, for example, that RIT algebra may have a maximal Hilbert series only if components of the graph associated to each color are pairwise 2-isomorphic.