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; expository notes on 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.

Videos and slides

  • Connections and curvature
    [Vimeo]
    An introduction to connections and curvature that tries to minimise the amount of actual differential geometry used.
  • Simplicial Chern-Weil theory for coherent analytic sheaves (2020)
    [YouTube]
    Summary of my PhD thesis for the Junior Mathematician Research Archive.
  • Slides from talks
    [GitHub]
    PDF and TeX files of slides from some of my past talks.

Teaching and notes

  • 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.
  • Teaching materials
    thosgood.com/teaching
    Solutions to past exam papers, notes on questions from classes, and small summaries of various concepts.