Bianca Viray

The "ABC algebra workshops" is a series of PIMS-sponsored research workshops on algebra and related topics. Originally designed to bring together researchers from the Universities of Alberta and British Columbia (thus the acronym ABC), these...

Let X be a connected smooth projective variety over Q. If X has a Q point, then X must have local points, i.e. points over the reals and over the p-adic completions Q_p. However, local solubility is often not sufficient. Manin showed that quadratic...

Igusa class polynomials are the genus 2 analogue of Hilbert class polynomials; their roots are invariants of genus 2 curves that have complex multiplication by a fixed order. The coefficients of Igusa class polynomials are rational, but, unlike in...