Eucharist and Sacrifice

An exploration of different understandings of 'sacrifice' by Christian theologians, and how these affect our understanding of the eucharist, especially in the light of the mimetic of Rene Girard

Liberation Theology and Catholic Social Teaching

The affinities as well as the distinguishing features of two accounts of the socio-poliitcal dimensions of the gospel are here examined, in the light of the apparent marginalisation of the 'social question' in the post-conciliar Church. How can these two discourses re-engage with contemporary debate? The concern of philosophers such as Giorgio Agamben with the notion of a 'state of exception', and the idea of a 'realistic utopia' being propounded by post-Rawlsian theorists of economic and social justice, offer two opportunities for this

Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface

We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formulas for intersection numbers to obtain a proof of the Verlinde formula for the dimension of the space of holomorphic sections of a line bundle over M(n,d).Comment: 77 pages, LaTeX version 2.09. This is the text of the revised version which will appear in Annals of Mathematics. An error in Section 2 of the previous version has been correcte