Simplicial Chern-Weil theory for coherent analytic sheaves, part II
The second paper extracted from my PhD thesis; under submission.
Simplicial Chern-Weil theory for coherent analytic sheaves, part I
The first paper extracted from my PhD thesis; under submission.
Chern classes of coherent analytic sheaves: a simplicial approach
PhD thesis; supervised by Julien Grivaux and Damien Calaque.
Under Spec Z: a reader's companion
Primary master's thesis; supervised by Kobi Kremnitzer and Christopher Hollings.
Death and extended persistence in computational algebraic topology
Secondary master's thesis; unsupervised.
An introduction to varieties in weighted projective space
Undergraduate project supervised by Balázs Szendrői; sincere caveat lector.
Various mathematical writings translated into English (including links to the EGA-translation project).
An introduction to quantum information science
Joint work with Artur Ekert; an elementary exposition of the fundamentals of theoretical quantum computing.
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).
Slides from talks
PDF and TeX files of slides from some talks that I have given.
Robalo's introduction to infinity-categories
Notes on a talk given by Marco Robalo at the 2017 Derived Algebraic Geometry in Toulouse conference.
Master's revision notes
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
Revision notes on Oxford Part A (second-year MMath, 2013) courses: linear algebra, abstract algebra, complex analysis, differential equations, integration, and metric spaces.