Articles
-
Various notions of (co)simplicial (pre)sheaves
(2022)
2205.15185 [math.CT]
-
A diagrammatic view of differential equations in physics
Evan Patterson, Andrew Baas, Timothy Hosgood, James Fairbanks
Mathematics in Engineering
5
2022
10.3934/mine.2023036
2204.01843 [math-ph]
-
Deep neural networks as nested dynamical systems
David I Spivak, Timothy Hosgood
Published on SIAM News Blog (2021-12-01), available here.
2111.01297
[cs.LG]
-
Dirichlet polynomials and entropy
David I Spivak, Timothy Hosgood
Entropy
23
2021
1085
10.3390/e23081085
2107.04832 [cs.IT]
-
Simplicial Chern-Weil theory for coherent analytic sheaves, part II
(2020)
2003.10591
[math.AG]
The second paper extracted from my PhD thesis; under submission.
-
Simplicial Chern-Weil 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)
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)
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 EGA-translation 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
~/maths-dictionary
An open-source 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 Chern-Weil 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 infinity-categories
(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.