A main ingredient for Kustin–Miller unprojection, as developed in [PR], is the module HomR(I, ωR), where R is a local Gorenstein ring and I a codimension one ideal with R/I Gorenstein. We prove a method of calculating it in a relative setting using resolutions. We give three applications. In the first we generalise a result of [CFHR]. The second and the third are about Tom and Jerry, two famili...

1 We present some results about the burgeoning research area concerning set theory of the “κ-reals”. We focus on some notions of measurability coming from generalizations of Silver and Miller trees. We present analogies and mostly differences from the classical setting.

My main interest is analytic number theory and random matrix theory (especially the distribution of zeros of L-functions and the eigenvalues of random matrix ensembles); I am also studying several equidistribution problems in analysis and probability, and I am working on applied problems in probability, statistics, graph theory, cryptography and linear programming where the tools and techniques...