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.