PhD maths student at Aix-Marseille Université with a passion for music, technology, and language.
The following papers are all on the arXiv.
Mirroring the classical approach to projective algebraic geometry to study weighted projective spaces and their varieties, including a Nullstellensatz and degree-genus formula.
Exploring the ideas of persistent homology and extended persistent homology, and their stability theorems, in a categorical setting and using ideas from [Bubenik and Scott, 2014; Cohen-Steiner, Edelsbrunner, and Harer, 2007; and Cohen-Steiner, Edelsbrunner, and Harer, 2009] amongst others.
For my masters course I wrote the following dissertation under Kobi Kremnitzer and Christopher Hollings.
A translation and accompanying guide to Au-dessous de Spec Z (Toën and Vaquié, 2005) covering the background of this approach to categorical algebraic geometry.
This series of articles is aimed at people who disliked maths at school, or who realise that they don’t really have much of an idea what people who study maths at university are actually even doing — are there really sums so hard that you need a university-level education to solve them?