Overview
I am currently working on obtaining my PhD in Algebraic Geometry, specifically working with the derived categories of schemes.
I am co-organiser for both the Geometry in Cardiff (GiC) and CALF seminars.
Research
My current research is focussed on providing explicit formulas for the derived tensor product in various situations, namely when a collection of local complete intersections (lcis) inside of a smooth ambient variety intersect in a non-lci. Essential to this study is the fact that the resulting object can be non-equidimensional, that is, different components of the geometric object may have different dimensions. I hope to obtain some results dependent on what kind of non-equidimensionality our resulting scheme has.
