Articles
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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.
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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
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Chern classes of coherent analytic sheaves: a simplicial approach
(2020)
HAL:tel-02882140
PhD thesis; supervised by Julien Grivaux and Damien Calaque.
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Under Spec Z: a reader's companion
(2016)
[PDF]
Primary master's thesis; supervised by Kobi Kremnitzer and Christopher Hollings.
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Death and extended persistence in computational algebraic topology
(2016)
arxiv:math.AT/1609.00920
Secondary master's thesis; unsupervised.
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An introduction to varieties in weighted projective space
(2016)
arxiv:math.AG/1604.02441
Undergraduate project supervised by Balázs Szendrői; sincere caveat lector.
Projects
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Translations
thosgood.com/translations
Various mathematical writings translated into English (including links to the EGA-translation project).
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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.
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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).
Notes
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Slides from talks
[GitHub]
PDF and TeX files of slides from some talks that I have given.
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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.
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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.
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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.