The concept of "character" in Dirichlet's theorem on primes in an arithmetic progression

In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet's proof in the nineteenth and early twentieth centuries, with an eye towards understanding some of the pragmatic pressures that shaped the evolution of modern mathematical method

Monoids in the mapping class group

In this article we survey, and make a few new observations about, the surprising connection between sub-monoids of mapping class groups and interesting geometry and topology in low-dimensions.Comment: 36 pages, 18 figure

Unashamed Integrity: Stephen Sykes and the ‘crisis’ of Anglican Ecclesiology and Identity

This article offers a critical assessment of Stephen Sykes’ contribution to the theology and ecclesiology of Anglicanism, and especially to reflection on Anglican identity. It contextualizes his work in reaction to mid-twentieth century Anglican apologetic, indicating that his criticism of the failure to develop a theological awareness of Anglicanism’s ecclesiological position arose from his conviction that contemporary radical theology risked undermining traditional Anglican practice and belief. Sykes’ appeal for a systematic Anglican theology nonetheless masked a failure to explore sufficiently the relationship between history and theology.</jats:p