Articles

  1. An introduction to varieties in weighted projective space. 2016. arXiv: 1604.02441 [math.AG]. (Comments: Undergraduate summer project with Balázs Szendrői; in need of rewriting.)
  2. Death and extended persistence in computational algebraic topology. 2016. arXiv: 1609.00920 [math.AT]. (Comments: Secondary master's thesis; currently under review for submission.)
  3. Simplicial Chern-Weil theory for coherent analytic sheaves, part I. (Comments: In progress.)
  4. Simplicial Chern-Weil theory for coherent analytic sheaves, part II. (Comments: In progress.)

Other

  • Undergraduate (second-year) revision notes [GitHub]

    Revision notes on Oxford Part A (second-year MMath, 2013) courses: linear algebra, abstract algebra, complex analysis, differential equations, integration, and metric spaces.

  • Under Spec Z: a reader's companion [GitHub]

    Primary master's thesis (2016) with Kobi Kremnitzer and Christopher Hollings.

  • Master's revision notes [GitHub]

    Revision notes on Oxford Part C (fourth-year MMath, 2016) courses: category theory, homological algebra, algebraic topology, algebraic geometry, and quantum information theory.

  • Robalo's introduction to infinity-categories [GitHub]

    Notes on a talk given by Marco Robalo at Derived Algebraic Geometry in Toulouse (DAGIT, 2017).

  • Twisting cochains and twisted complexes [GitHub]

    Slides from a talk I gave at the Young Topologists Meeting (2019) in Lausanne.

  • Chern classes of coherent analytic sheaves: a simplicial approach

    PhD thesis; in progress.