Articles

Deep neural networks as nested dynamical systems
joint with David I Spivak
Published on SIAM News Blog (20211201), available here.
2111.01297
[cs.LG]

Dirichlet polynomials and entropy
joint with David I Spivak
Entropy
23
2021
1085
10.3390/e23081085
2107.04832 [cs.IT]

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

Simplicial ChernWeil theory for coherent analytic sheaves, part I
(2020)
2003.10023
[math.AG]
The first paper extracted from my PhD thesis; under submission.
Theses

Chern classes of coherent analytic sheaves: a simplicial approach
(2020)
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)
1609.00920
[math.AT]
Secondary master's thesis; unsupervised.

An introduction to varieties in weighted projective space
(2016)
1604.02441
[math.AG]
Undergraduate project supervised by Balázs Szendrői; sincere caveat lector.
Projects

Translations
~/translations
Various mathematical writings translated into English (including links to the EGAtranslation project).

An introduction to quantum information science
qubit.guide
Joint work with Artur Ekert; online book on the fundamentals and some applications of quantum computing.

Mathematical dictionary
~/mathsdictionary
An opensource multilingual dictionary of mathematical terminology, contributed to by many (wonderful) volunteers.
Videos

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.
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
~/teaching
Solutions to past exam papers, notes on questions from classes, and small summaries of various concepts.