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Nima Rasekh

@nimarasekh

Mathematician at @unigreifswald.bsky.social Mathematics Research Scientist at Turing Lived in ๐Ÿ‡ฉ๐Ÿ‡ช๐Ÿ‡ฎ๐Ÿ‡ท๐Ÿ‡จ๐Ÿ‡ฆ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿ‡จ๐Ÿ‡ญ currently in ๐Ÿ‡ฉ๐Ÿ‡ช He/Him/His Interested in: homotopy theory, category theory, formalization of mathematics, AI https://nimarasekh.github.io

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24.12.2023
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Latest posts by Nima Rasekh @nimarasekh

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Fractured Structures in Condensed Mathematics | Nima Rasekh ๐Ÿšจ New paper alert! ๐Ÿšจ Condensed mathematics is a new formalism that combines the best of two worlds: topology๐Ÿ•ธ๏ธ and algebra๐Ÿ”ข! ๐Ÿค Here the fundamental concept is the "condensed object" which can infuse ...

๐Ÿ‘‰ LinkedIn Post with further details:
๐Ÿ”— www.linkedin.com/posts/nimara...

๐Ÿ‘‰ Some background on petit vs. gros:
๐Ÿ”— ncatlab.org/nlab/show/bi...

๐Ÿ‘‰ A nice introduction to condensed mathematics:
๐Ÿ”— www.math.uni-bonn.de/people/schol...

11.03.2026 08:30 ๐Ÿ‘ 2 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

๐ŸšจNew paper alert!๐Ÿšจ

My new paper with Qi Zhu is out!

We show that condensed mathematics, due to Scholze & Clausen, admits a fractured structure.

This means condensed objects are "gros objects" with the "petit objects" given by regular sheaves on spaces!

Links in next post๐Ÿ‘‡

11.03.2026 08:30 ๐Ÿ‘ 5 ๐Ÿ” 1 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0
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PhD Position in Categorical Foundations of Type Theory Join us to study the mathematical foundations of type theory in this interdisciplinary PhD position.

๐Ÿ”— Application Link:
www.uu.nl/en/organisat...

๐Ÿ”— Faculty Webpage:
paigenorth.github.io

07.03.2026 18:42 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

๐ŸŽ“ PhD Position Alert! ๐Ÿš€

Are you looking for a PhD position in category theory and type theory? ๐Ÿ“šโœจ

Then check out this exciting opportunity at Utrecht University ๐Ÿ‡ณ๐Ÿ‡ฑ under the supervision of Paige Randall North!

๐Ÿ—“ Deadline: April 6th, 2026
๐Ÿ”— Link in the next post ๐Ÿ‘‡

07.03.2026 18:42 ๐Ÿ‘ 1 ๐Ÿ” 1 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0

๐Ÿšจ Putting this back on your radar:

The deadline for the ICERM Graduate Training Workshop on โˆž-categories with proof-assistants (organized with @emilyriehl.bsky.social and Jonathan Weinberger) is getting close!

๐Ÿ“ฌApplication deadline: March 31, 2026.

Full details + links in the post below ๐Ÿ‘‡

27.02.2026 13:58 ๐Ÿ‘ 3 ๐Ÿ” 1 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

LinkedIn Post:
๐Ÿ”— www.linkedin.com/posts/nimara...

30.12.2025 12:50 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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2025 was an exciting year!๐Ÿฅณ๐Ÿฅณ๐Ÿฅณ
2026 will be an even better year!๐ŸŽ‰๐ŸŽ‰๐ŸŽ‰

If you want to know more about what I have been up to this year, and what my plans are for 2026, check out the next post๐Ÿ‘‰

30.12.2025 12:50 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0

๐Ÿ—“๏ธ Starting date: September 1, 2026
๐Ÿ“ฌ Deadline: December 15, 2025

๐Ÿ”— Group Website:
www.epfl.ch/labs/hessbel...

๐Ÿ”— Application Link:
docs.google.com/forms/d/e/1F...

07.11.2025 23:01 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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Kathryn Hess Bellwald (@homotopykat.bsky.social) Mathematician, lover of mountains, mother of four, EPFL professor

Looking for a post-doctoral position in algebraic topology?

Check out this position in the group of homotopykat.bsky.social at EPFL!

If you have any questions about the position, the group, EPFL or living in @villelausanne.bsky.social, then please reach out!

Links and more details below๐Ÿ‘‰

07.11.2025 23:01 ๐Ÿ‘ 1 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0

Summer school webpage:
๐Ÿ”— icerm.brown.edu/program/topi...

Apply here:
๐Ÿ”— app.icerm.brown.edu/Cube/apply/607

LinkedIn Post with more details:
๐Ÿ”— www.linkedin.com/posts/nimara...

07.11.2025 21:02 ๐Ÿ‘ 1 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

If youโ€™re a graduate student who wants to learn about โˆž-category theory please apply!

Some background in category theory or homotopy type theory can't hurt!

๐Ÿ“ @icerm.bsky.social
๐Ÿ—“๏ธ Workshop dates: August 17โ€“21, 2026
๐Ÿ“ฌ Deadline: March 31, 2026

Links in the next post๐Ÿ‘‰

07.11.2025 21:02 ๐Ÿ‘ 1 ๐Ÿ” 1 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0
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๐ŸŒžSummer School Announcement๐ŸŒž
๐ŸŽ“โˆž-Category Theory at ICERM!๐ŸŽ“

I am happy to announce that together with
@emilyriehl.bsky.social and Jonathan Weinberger we are organizing a Graduate Training Workshop teaching โˆž-category theory via proof assistants!๐Ÿง ๐Ÿ’ป

More infos in the next post๐Ÿ‘‰

07.11.2025 21:02 ๐Ÿ‘ 8 ๐Ÿ” 3 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 1

Summer school webpage:
๐Ÿ”—https://icerm.brown.edu/program/topical_workshop/tw-26-thc

Apply here:
๐Ÿ”—https://app.icerm.brown.edu/Cube/apply/607

LinkedIn Post with more details:
๐Ÿ”—https://www.linkedin.com/posts/nimarasekh_mathematics-categorytheory-homotopytheory-activity-7392658311843794944-DB-b

07.11.2025 20:58 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

If youโ€™re a graduate student who wants to learn about โˆž-category theory please apply!

Some background in category theory or homotopy type theory can't hurt!

๐Ÿ“ @icerm.bsky.social
๐Ÿ—“๏ธ Workshop dates: August 17โ€“21, 2026
๐Ÿ“ฌ Deadline: March 31, 2026

Links in the next post๐Ÿ‘‰

07.11.2025 20:58 ๐Ÿ‘ 1 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0

Summer school webpage:
๐Ÿ”—https://icerm.brown.edu/program/topical_workshop/tw-26-thc

Apply here:
๐Ÿ”—https://app.icerm.brown.edu/Cube/apply/607

LinkedIn Post with more details:
๐Ÿ”—https://www.linkedin.com/posts/nimarasekh_mathematics-categorytheory-homotopytheory-activity-7392658311843794944-DB-b

07.11.2025 20:55 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

If youโ€™re a graduate student who wants to learn about โˆž-category theory please apply!

Some background in category theory or homotopy type theory can't hurt!

๐Ÿ“ @icerm.bsky.social
๐Ÿ—“๏ธ Workshop dates: August 17โ€“21, 2026
๐Ÿ“ฌ Deadline: March 31, 2026

Links in the next post๐Ÿ‘‰

07.11.2025 20:55 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0

Conference:
๐Ÿ”—https://sites.google.com/view/higherstructures/meetings

LinkedIn Post:
๐Ÿ”—https://www.linkedin.com/posts/nimarasekh_higher-structures-meetings-activity-7390019048681521154-5jQY

Papers:
๐Ÿ”—https://arxiv.org/abs/2508.07735
๐Ÿ”—https://arxiv.org/abs/2508.07736
๐Ÿ”—https://arxiv.org/abs/2508.07737

31.10.2025 13:59 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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This past year I spent some time thinking about filter quotient models of homotopy type theory.

I am happy to announce that I now have a chance to talk about it

๐Ÿ“ First Meeting of the Higher Structures Network, Nottingham, UK
๐Ÿ—“๏ธ Thursday Nov. 19

Links in the next post๐Ÿ‘‰

31.10.2025 13:59 ๐Ÿ‘ 2 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0
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MathJobs from the the American Mathematical Society Mathjobs is an automated job application system sponsored by the AMS.

๐Ÿšจ Position alert ๐Ÿšจ

Looking for a position that involves programming, quantum computing, and cutting edge mathematics?

Then check out this Research Software Engineer position in the research group of Cihan Okay:

www.mathjobs.org/jobs/list/27...

12.10.2025 18:22 ๐Ÿ‘ 1 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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#math #formalization #ai #categorytheory #highercategories | Nima Rasekh ๐Ÿš€ Conference News ๐Ÿš€ Together with Jonathan Weinberger, Paige Randall North, Peter LeFanu Lumsdaine, and Thierry Coquand I am organizing the upcoming conference titled โœจ Formalizing Higher Categories...

You can find more details about the event in this LinkedIn Post:

๐Ÿ”— www.linkedin.com/posts/nimara...

25.09.2025 19:53 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0

Event website:

๐Ÿ”— www.mittag-leffler.se/activities/f...

The event is invitation only, but there is the option of expressing interest (deadline October 7)

๐Ÿ”— forms.gle/GfRFQj2jhQHi...

If you want more details you can check out the last post ๐Ÿ‘‡

25.09.2025 19:53 ๐Ÿ‘ 1 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0
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๐Ÿš€ Exciting news!

Iโ€™m organizing the conference

Formalizing Higher Categories

at Institut Mittag-Leffler (Stockholm, June 2026)

โ€” bringing together experts to explore how far โˆž-category theory can be formalized in proof assistants (like Lean).

More info in the next post ๐Ÿ‘‡

25.09.2025 19:53 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0

More details in this LinkedIn Post:

๐Ÿ”—https://www.linkedin.com/posts/nimarasekh_math-formalization-ai-activity-7377064045968826368-BLgt?utm_source=share&utm_medium=member_desktop&rcm=ACoAAAoNXqQBS2mb2IFY7PQdQ0UY4Yi31nJiXq8

25.09.2025 19:51 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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Formalizing Higher Categories - Mittag-Leffler Higher category theory is now a fundamental aspect of modern mathematics, playing a crucial role in algebraic topology, algebraic geometry,...

Event website:

๐Ÿ”— www.mittag-leffler.se/activities/f...

The event is invitation only, but there is the option of expressing interest (deadline October 7)

๐Ÿ”— forms.gle/GfRFQj2jhQHi...

If you want more details you can check out the last post ๐Ÿ‘‡

25.09.2025 19:51 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0
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Every postdoc whenever fall comes around again:

#AcademicLife #JobMarket #PostDocLife

23.09.2025 16:51 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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Als Headhunter ins Trump-Land: Ministerin Martin will Forscher fรผr MV abwerben Donald Trump fรคhrt einen rigiden Wissenschaftskurs. Die Ressortchefin aus Schwerin kritisiert das scharf, sieht es aber auch als Chance fรผr MV: Gemeinsam mit den Unis Rostock und Greifswald will Betti...

Definitiv ein guter Schritt von โ€ช@bettinamartin.bsky.social
fรผr unser Land #MV und @unigreifswald.bsky.social um Talente aus den #USA anzuziehen!

-Natรผrlich nur wenn Interessierte auch passend unterstรผtzt und/oder finanziert werden kรถnnen-

www.ostsee-zeitung.de/mecklenburg-...

19.08.2025 20:42 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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AI Crushed the Math Olympiadโ€”Or Did It? AI models supposedly did well on International Math Olympiad problems, but how they got their answers reminds us why we still need people doing math

This article by the always insightful @emilyriehl.bsky.social is very relatable indeed:

www.scientificamerican.com/article/math...

#AI doing exercises and problems in mathematics looks impressive, but how does that relate to research mathematics?

The honest answer is: we don't know yet!

19.08.2025 14:05 ๐Ÿ‘ 1 ๐Ÿ” 1 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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Rare #achievement unlocked:
Having 3 consecutively numbered papers on the #arXiv!

Never seen this before, so I count this as a record!

If you know of any other cases like this (or even higher) let me know!

14.08.2025 21:12 ๐Ÿ‘ 1 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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Filter Quotient Model Structures The filter quotient construction is a particular instance of a filtered colimit of categories. It has primarily been considered in the context of categorical logic, where it has been used effectively ...

Technical Construction Paper:
arxiv.org/abs/2508.07735

Model for Homotopy Type Theory:
arxiv.org/abs/2508.07736

Model for simplicial Homotopy Type Theory:
arxiv.org/abs/2508.07737

12.08.2025 07:44 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 0 ๐Ÿ“Œ 0
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๐Ÿšจ New paper(s) alert! | Nima Rasekh ๐Ÿšจ New paper(s) alert! ๐Ÿšจ Homotopy type theory (HoTT) is a cool new foundation for mathematics. It is used extensively to formalize proofs, particularly in homotopical mathematics. The same applies to ...

Here is a #LinkedIn post with a much more detailed intro to the subject and overview of the papers:

www.linkedin.com/posts/nimara...

Links to the papers in the last post:

12.08.2025 07:44 ๐Ÿ‘ 0 ๐Ÿ” 0 ๐Ÿ’ฌ 1 ๐Ÿ“Œ 0