Research
Current research. (a) Topological and simplicial methods in complex-analytic geometry; coherent analytic sheaves; holomorphic Deligne cohomology. (b) Language-independent approaches to written mathematics; formal translation via a categorical framework.
Research interests. Homotopical and derived complex geometry, (higher) category theory, translation & accessibility.
Education and academic employment
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Research associate, Topos Institute
2020 – current
[More information to follow soon] -
Postdoctoral contractor, Centre for Quantum Technologies
2020 – current
Working with Artur Ekert -
Academic visitor, University of Oxford
2020 – 2021
Teaching MMath classes -
Scientist, Université de Montpellier
2019 – 2020
Part of the DerSympApp ERC project -
Doctorat (PhD) en mathématiques, Université d'Aix-Marseille
2016 – 2020
Supervised by Julien Grivaux and Damien Calaque -
MMath (Mathematics), University of Oxford
2015 – 2016
First-class honours -
BA (Mathematics), University of Oxford
2012 – 2015
Upper second-class honours
Papers and preprints
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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. -
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. -
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.
Other output
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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.
Teaching
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University of Oxford
2021
4th-year students (masters), in English
Introduction to quantum information, algebraic topology, category theory. -
Université d'Aix-Marseille
2017 – 2019
2nd- and 3rd-year undergraduates, in French
Algèbre linéaire, calcul différentiel, maths en anglais. -
Kingsley School, Bideford
2013
Sixth-form, in English
Mathematics and Further Mathematics A-Levels.
Conference and seminar talks
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Homotopical methods in complex geometry
2021
Graduate Student Topology and Geometry Conference (online) -
Simplicial connections and resolutions for coherent analytic sheaves
2020
Stockholm University (online) -
Connections and curvature
2020
UGA Graduate Student Seminar (online) -
Simplicial Chern-Weil Theory
2019
DerSympApp, Université de Montpellier -
Twisting cochains and twisted complexes
2019
Young Topologists Meeting, Lausanne -
Des méthodes simpliciales pour la géométrie complexe
2018
Conférence de l'équipe AGT d'Aix-Marseille, Carry-le-Rouet -
Les classes de Chern des fibrés vectoriels
2017
Séminaire Géométrie Complexe, Marseille
Other professional experience
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IT technician; help-desk manager, Hertford College, Oxford
2016
Led site-based IT development and network infrastructure upgrades. Managed staff and student help desk for the entire college, with responsibilities including hardware repair and software support. Improved registration systems with shell-scripting automation (Ruby, Bash). Various server management and maintenance tasks. -
Network Functions Virtualisation Intern, Metaswitch
2014
Worked as part of the NFV team on the Virtual Route Reflector. Researched and presented information to the whole team on various aspects of network configuration management (e.g. NETCONF, TACACS+) before implementing them. Set up test systems for aforementioned aspects, as well as others. Gained experience with C, Bash, and Python. Completed an Effective Communications course, as well as a three-day hackathon.