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Tom de Jong

@de_Jong_Tom@mathstodon.xyz
mastodon 4.7.2
  • Open on mathstodon.xyz

Postdoc at the University of Nottingham working on type theory. PhD from the University of Birmingham. Mathematician, computer scientist and runner.

712 Followers
242 Following
24 Posts
Joined October 29, 2022
Homepage:
https://tdejong.com/
GitHub:
https://github.com/tomdjong
Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

I'm pleased, especially for our PhD student @aref_mz@mathstodon.xyz, that our paper "Generalized Decidability via Brouwer Trees" (https://arxiv.org/abs/2602.10844) with @aref_mz@mathstodon.xyz, @Nicolai_Kraus@mathstodon.xyz and @fnf@mathstodon.xyz was accepted to LICS'26.

#Agda was very useful for developing this work. Huge thanks to its maintainers!

My commiserations to those who submitted good work but didn't get in. I hope we can all escape this system one day.

arxiv.org
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

As usual, I was reading this weekend's De Volkskrant (Dutch newspaper) and amused to find @jonmsterling@mathstodon.xyz quoted in @ionica@mathstodon.xyz's column 🙂

(Minor correction to the column: Jon isn't British.)

mathstodon.xyz

Jon Sterling (@jonmsterling@mathstodon.xyz) - Mathstodon

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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

#TYPES 2026 is done! The slides for my talk are here: https://tdejong.com/talks/TYPES-2026.pdf.
Joint work with @ljungstrom@mathstodon.xyz and @Nicolai_Kraus@mathstodon.xyz.

mathstodon.xyz
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

The 37th European Summer School in Logic, Language and Information
(ESSLLI 2026) will take place on 3-14 August in Prague.
https://2026.esslli.eu

I'm excited that I'll be teaching an introductory course on univalent foundations / homotopy type theory!

@stringdiagram@mathstodon.xyz and @jaklt@mastodon.social will also be running an interesting workshop titled "Semantics and compositionality for expressiveness and complexity".

Early registration closes on 31st May.

2026.esslli.eu
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

At 9.50 today, I'm giving a talk on constructive domain theory at the Formal Topology Workshop in Venice. Feat. a shoutout to @nmvdw@mathstodon.xyz and @dif@mathstodon.xyz for their nice paper "The Interval Domain in Homotopy Type Theory".

It should be livestreamed: @wires0@youtube.com
[Update: it seems the recording of my talk failed.]

Slides: https://tdejong.com/talks/7WFTop.pdf

youtube.com
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 9mo ago

The slides for Types and Topology (https://tdejong.com/mhe60) are all up on the website now (where available)!

@MartinEscardo@mathstodon.xyz

tdejong.com
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

RE: @jaror@social.edu.nl

Quoting/Boosting for reach.

social.edu.nl

Jaro Reinders: "The discussion on the use of AI in the Agda proje…" - SURF Mastodon

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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago

On my way to Gothenburg for #TYPES. Please come and say hi!

mathstodon.xyz
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 6mo ago

Thanks to our speakers and @Stiephen@mathstodon.xyz all the slides for PSSL 112 are now available on the PSSL website! https://sites.google.com/view/pssl112/program

#CategoryTheory #Logic

sites.google.com
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 11mo ago

@MartinEscardo@mathstodon.xyz is turning 60 this year! In celebration, Eric Finster and I are organizing a two-day workshop on 17-18 December 2025 at the University of Birmingham.
https://tdejong.com/mhe60

The full list of over 20 invited speakers can be found on the website and reflects Martín's diverse contributions to constructive mathematics, domain theory, locale theory, logic, topology and homotopy/univalent type theory.

The workshop is co-located with the Midlands Graduate School (MGS) Christmas Seminar on 16 December 2025 and will support remote participation.

If you would like to attend (in person or remotely), please register by
*21 November 2025* by completing this form:
https://forms.cloud.microsoft/e/4GgaZHTxad

tdejong.com
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 7mo ago
Replying to

@MartinEscardo @dwarn Here's my account: https://martinescardo.github.io/TypeTopology/gist.ThereAreNoHigherSemilattices2.html

My main take-away is the following observation. A loop space is trivial if it can be equipped with a binary operation ⋆ such that

  • it has an interchange law: (p ⋆ q) ∙ (r ⋆ s) = (p ∙ r) ⋆ (q ∙ s);
  • it is idempotent, commutative and associative.

Proving that an idempotent, commutative and associative binary operation on a pointed type induces such an operation ⋆ on its loop space is then quite tricky when it comes to commutativity and associativity. I elaborated David's argument as follows: first prove that ⋆ is commutative up to conjugation, then use idempotency to show that conjugation acts trivially, so that ⋆ really is commutative (without conjugation), and similarly (but slightly more involved) for associativity.

The intellectual credit naturally lies with David, but hopefully my elaboration/account is helpful for others too!

martinescardo.github.io

gist.ThereAreNoHigherSemilattices2

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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 11mo ago

The extended version of our LICS'25 paper, titled Constructive Ordinal Exponentiation, is now on arXiv. It has two new sections (Section 6 and 8) on ordinal arithmetic. Everything is formalized in Agda and merged into @MartinEscardo@mathstodon.xyz's TypeTopology repository.
https://arxiv.org/abs/2501.14542v5

This joint work with @fnf@mathstodon.xyz, @Nicolai_Kraus@mathstodon.xyz and Chuangjie Xu.

#TypeTheory #logic #Agda

arxiv.org
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 7mo ago
Replying to
@dwarn Here's a question that I can't answer: how did you come up with this?! Now that I've finished my file, I can explain the result and why it holds, but this is relatively easy because it's post-fact. It only worked because I knew it was true and could look up critical steps in your formalization. @MartinEscardo
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago
Replying to
@ionchy @andrejbauer I'm not getting the typst hate either. In particular I've found its documentation to be quite reasonable.
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago
Replying to
Definitely agree! On both statements :) @matematiflo@mathstodon.xyz @jeanas@mathstodon.xyz @mevenlennonbertrand@lipn.info
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Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 7mo ago
Replying to
@OscarCunningham I don't know about the MO question, but suplattices have a prop-valued reflexive and antisymmetric relation and any type with such a relation is necessarily a set. This can be seen with a much simpler argument using what @MartinEscardo calls local Hedberg. https://martinescardo.github.io/TypeTopology/UF.HedbergApplications.html#2299 @dwarn
martinescardo.github.io

UF.HedbergApplications

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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago
Replying to
@gadmm@mathstodon.xyz I don't really have additional information, sorry. Maybe some of the #agda developers would like to chime in, but I'd understand it if they don't.
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 6mo ago
Replying to
@danielgratzer OK, thanks! And sorry I can't make it in person 😔
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 6mo ago
Replying to
@danielgratzer Will there be (limited) options for remote participation? (I believe the original calls mentioned this, but might be wrong.) If so, should remote participants register too?
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 4mo ago
Replying to
@chrisTheClimber@mathstodon.xyz This really depends on your specific background and how far you'd be travelling and so on. I would say that the important thing is that you're excited. Even if you can't follow all of the talks, I'm sure people would be happy to talk to you, I certainly would! @matematiflo@mathstodon.xyz @mevenlennonbertrand@lipn.info
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 4mo ago

RE: @de_Jong_Tom@mathstodon.xyz

Just over two weeks before early registration ends (31 May)!

mathstodon.xyz
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 7mo ago
Replying to
@dwarn Thanks for elaborating! I've thought about this before, but it's funny how fruitful incorrect proofs/claims tend to be for coming up with (correct proofs of) interesting results. @MartinEscardo
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Open post
Tom de Jong @de_Jong_Tom@mathstodon.xyz
· 5mo ago
Replying to
@dif@mathstodon.xyz The recordings were made private until some explicit permission is given via some forms which are yet to be send out. However, I'm not even sure that my talk was successfully recorded, as I never saw it listed (unlike the other talks). @nmvdw@mathstodon.xyz
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