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.
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.