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daniel gratzer

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

assistant professor at Aarhus University interested in (higher) category theory and (modal) type theory. he/him 🏳️‍🌈

639 Followers
195 Following
14 Posts
Joined November 15, 2022
Website:
https://danielgratzer.com
Open post
daniel gratzer @danielgratzer@mathstodon.xyz
· 4mo ago

On the advice of (many) friends I asked my doctor to be assessed for ADHD. I... may have mixed in the forms they gave me with my scratch paper (I used them to quickly do a calculation so they had notes on them) which I then used as kindling for a bonfire. I feel like the doctor can't be *that* surprised.

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daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago

Slides from my talk today at TYPES:

https://www.danielgratzer.com/papers/types-2026-slides.pdf

danielgratzer.com
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Open post
daniel gratzer @danielgratzer@mathstodon.xyz
· 6mo ago

Some news: the first summer school on Programming Languages, Logic, and Software Security, will be held August 10–14, 2026 in Aarhus, Denmark.

The summer school offers intensive courses by leading researchers covering foundational and applied topics at the intersection of programming languages, formal methods, and software security. It is aimed at PhD students and advanced B.Sc./M.Sc. students active in the areas of programming languages, logic, semantics, and software security.

Dates: August 10–14, 2026
Venue: Aarhus University, Aarhus, Denmark
Webpage: https://conferences.au.dk/pls

Courses and Speakers:

Bas Spitters: The Rocq proof assistant and Gen-AI Tools for Formalization of Mathematics
Lars Birkedal and Amin Timany: Higher-Order Concurrent Separation Logic
Daniel Gratzer: Introduction to Type theory
Aslan Askarov: Language-Based Security
Anders Møller: Program Analysis

conferences.au.dk

PLS Summer School

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Open post
daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago

Looks like I'll be at LICS/FLoC this year. Yay.

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daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago

Arrived in Gothenburg! Very nice to be back actually... Looking forward to seeing some of you tomorrow at TYPES.

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daniel gratzer @danielgratzer@mathstodon.xyz
· 4mo ago

Hey!

Want to come visit Aarhus for a week in August and learn about some fun programming languages stuff? Remember to apply for the PLS summer school (deadline June 7). Some financial support for travel is available!

https://conferences.au.dk/pls

conferences.au.dk

PLS Summer School

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daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago
Replying to
My rational of "if it was important, I'll remember it at some point" is apparently not accepted. (Otherwise I can always forget things. Like a cool person)
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Open post
daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago

A note to future me!

I would really love to have the following:

The assignment: \(A : X \to \mathcal{U}\) to
\(\lambda x.\, \bigcirc_{\mathrm{grpd}}\, A\,x : X \to \mathcal{U}\) sends cocartesian families to covariant families.

This seems obvious: the fibers are exactly what you would expect at least. However, it's really hard (for me at least) to understand \(\prod_{i : \mathbb{I}} \bigcirc_{\mathrm{grpd}}A(x\,i) \) in general and to argue that it's covariant.

If anyone wishes to demolish my problem for me, I'd very much appreciate it! It would make a lot of calculations much much easier...

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Open post
daniel gratzer @danielgratzer@mathstodon.xyz
· 6mo ago

Registration is now open for HoTT/UF 2026! Hope to see some of you in Aarhus soon 😃

See https://hott-uf.github.io/2026/ for registration details.

hott-uf.github.io

HoTT/UF 2026

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daniel gratzer @danielgratzer@mathstodon.xyz
· 6mo ago
Replying to
@de_Jong_Tom I'm trying to work out the details on remote participation---it's a little tricky. I didn't add it here because I want to be positive on what we an offer first. My hope is that we can support a zoom-type thing, in which case I'll send out a separate form asking for people to register emails there I think.
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daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago
Replying to
@sgregersen :D I remembered like.... 30min after the dinner started!! (and it was only one time :') )
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daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago
Replying to
@olynch @bentnib Even more: there is an infinite chain of adjoints extending to the left from the later modality!
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daniel gratzer @danielgratzer@mathstodon.xyz
· 5mo ago
Replying to
@olynch @bentnib I think this is described somewhere in my thesis... one of the later chapters I believe.
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