Dirichlet polynomials and entropy
Joint work with David Spivak.
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; expository notes on the fundamentals of theoretical quantum computing.
An open-source multilingual dictionary of mathematical terminology, contributed to by many (wonderful) volunteers.
Videos and slides
Connections and curvature
An introduction to connections and curvature that tries to minimise the amount of actual differential geometry used.
Simplicial Chern-Weil theory for coherent analytic sheaves
Summary of my PhD thesis for the Junior Mathematician Research Archive.
Slides from talks
PDF and TeX files of slides from some of my past talks.
Teaching and notes
Robalo's introduction to infinity-categories
Notes on a talk given by Marco Robalo at the 2017 Derived Algebraic Geometry in Toulouse conference.
Solutions to past exam papers, notes on questions from classes, and small summaries of various concepts.