Articles

  1. Simplicial Chern-Weil theory for coherent analytic sheaves, part II (2020)
    arxiv:math.AG/2003.10591
    The second paper extracted from my PhD thesis; under submission.
  2. Simplicial Chern-Weil theory for coherent analytic sheaves, part I (2020)
    arxiv:math.AG/2003.10023
    The first paper extracted from my PhD thesis; under submission.

Theses

  • Chern classes of coherent analytic sheaves: a simplicial approach (2020)
    HAL:tel-02882140
    PhD thesis; supervised by Julien Grivaux and Damien Calaque.
  • Under Spec Z: a reader's companion (2016)
    [PDF]
    Primary master's thesis; supervised by Kobi Kremnitzer and Christopher Hollings.
  • Death and extended persistence in computational algebraic topology (2016)
    arxiv:math.AT/1609.00920
    Secondary master's thesis; unsupervised.
  • An introduction to varieties in weighted projective space (2016)
    arxiv:math.AG/1604.02441
    Undergraduate project supervised by Balázs Szendrői; sincere caveat lector.

Projects

  • Translations
    thosgood.com/translations
    Various mathematical writings translated into English (including links to the EGA-translation project).
  • An introduction to quantum information science
    thosgood.com/quantum-info
    Joint work with Artur Ekert; an elementary exposition of the fundamentals of theoretical quantum computing.
  • Mathematical dictionary
    thosgood.com/maths-dictionary
    An open-source multilingual dictionary of mathematical terminology, contributed to by many (wonderful) volunteers. (Eventually to form part of a larger project in automated translation of mathematical text).

Miscellanea

  • Slides from talks
    [GitHub]
    PDF and TeX files of slides from some talks that I have given.
  • Robalo's introduction to infinity-categories (2017)
    [PDF]
    Notes on a talk given by Marco Robalo at the 2017 Derived Algebraic Geometry in Toulouse conference.
  • Master's revision notes (2016)
    [PDF]
    Revision notes on Oxford Part C (fourth-year MMath, 2016) courses: category theory, homological algebra, algebraic topology, algebraic geometry, and quantum information theory.
  • Undergraduate (second-year) revision notes (2013)
    Revision notes on Oxford Part A (second-year MMath, 2013) courses: linear algebra, abstract algebra, complex analysis, differential equations, integration, and metric spaces.