Articles

Dirichlet polynomials and entropy
(2021)
arXiv:cs.IT/2107.04832
Joint work with David Spivak.

Simplicial ChernWeil theory for coherent analytic sheaves, part II
(2020)
arXiv:math.AG/2003.10591
The second paper extracted from my PhD thesis; under submission.

Simplicial ChernWeil 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:tel02882140
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 EGAtranslation project).

An introduction to quantum information science
thosgood.com/quantuminfo
Joint work with Artur Ekert; expository notes on the fundamentals of theoretical quantum computing.

Mathematical dictionary
thosgood.com/mathsdictionary
An opensource 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 ChernWeil 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 infinitycategories
(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.