On a ferry to Taronga Zoo
Photo taken by Giacomo Tendas

Yuki Maehara（前原 悠究）

日本語版はこちらからどうぞ

email: XY@tmu.ac.jp
where X = [the first letter of my first name] and Y = [my last name with its last letter removed]

I am an assistant professor at Tokyo Metropolitan University.
Before that, I was a postdoc at Research Institute for Mathematical Sciences, Kyoto University.
Before that, I was a postdoc was at Institute of Mathematics for Industry, Kyushu University.
Before that, I was a PhD student of Dominic Verity and Ross Street at Macquarie University in Sydney, Australia.

I am interested in (higher) category theory.

Here (no. 8) is my 5 minute self-introduction from the Higher Categories and Categorificaction program at the MSRI in spring 2020.

I organised Kyoto Category Theory Meeting in February 2025.

Publications and preprints

Category theory

  1. Lawvere's fourth open problem: Levels in the topos of symmetric simplicial sets
    joint with Ryuya Hora and Yuhi Kamio
    arxiv:2503.03439
  2. ω-weak equivalences between weak ω-categories
    joint with Soichiro Fujii and Keisuke Hoshino
    arxiv:2406.13240
    DOI:10.1016/j.aim.2025.110490
  3. A model-independent Gray tensor product for (∞,2)-categories
    joint with Tim Campion
    arXiv:2304.05965
  4. Weakly invertible cells in a weak ω-category
    joint with Soichiro Fujii and Keisuke Hoshino
    arXiv:2303.14907
    DOI:10.21136/HS.2024.14
  5. Equivalence of cubical and simplicial approaches to (∞,n)-categories
    joint with Brandon Doherty and Chris Kapulkin
    arXiv:2106.09428
    DOI:10.1016/j.aim.2023.108902
  6. Orientals as free weak ω-categories
    arXiv:2102.09736
    DOI:10.1016/j.jpaa.2022.107230
  7. A cubical model for (∞,n)-categories.
    joint with Tim Campion and Chris Kapulkin
    arxiv:2005.07603
    DOI:10.2140/gt.2025.29.1115
  8. The Gray tensor product for 2-quasi-categories
    arXiv:2003.11757
    DOI:10.1016/j.aim.2020.107461
  9. Inner horns for 2-quasi-categories
    arXiv:1902.08720
    DOI:10.1016/j.aim.2020.107003

Mahavier limits/generalised inverse limits

Other material

Talks

Research talks

Expository talks

I (re)started the Junior Category Theory Seminar (to which no "grown-ups" beyond postdocs are invited) at Macquarie University and spoke about the following topics in 2018-2019:

Other expository talks I have given include: