#### General papers

The following papers are all on the arXiv.

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An introduction to varieties in weighted projective space

Mirroring the classical approach to projective algebraic geometry to study weighted projective spaces and their varieties, including a Nullstellensatz and degree-genus formula.

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Death and extended persistence in computational algebraic topology

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.

#### Dissertations

For my masters course I wrote the following dissertation under Kobi Kremnitzer and Christopher Hollings.

#### 'A Taste of University Mathematics'

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?