Naruki Masuda's Home Page
Contact: nmas!uda!!dot!ma!!th!at!!gm!ail!!!do!tc!om (remove exclamation marks)
I am a BOAS assistant professor (postdoc) at Northwestern University since September 2025. Before that, I was a postdoc at Hamburg (CRC 1624) 2024-2025 and a graduate student at Johns Hopkins 2018-2024. I am interested in homotopy theory, topology, category theory, and related topics.
Here is my CV (last updated: September 2024)
Thesis
- The algebra of categorical spectra: Categorical spectra are $(\infty, \infty)$-categorical generalization of spectra (as in homotopy theory). We introduce the (Gray-type) tensor product of categorical spectra and study the notion of stability from the viewpoint of absolute (co)limits. As an application, we derive the cobordism hypothesis with singularities from the plain version of the cobordism hypothesis.
While this is the version I submitted for the thesis defense, I hope to improve it slightly before uploading to it arXiv, etc.
Publications
Research Talks with notes
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Stability of categorical spectra and an application to TQFT, Research Seminar on Quantum Topology and Categorification, Nov 1, 2024 [notes]
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Tensor product of categorical spectra, 高知ホモトピー論談話会 (Kochi homotopy theory workshop), December 28, 2022 [notes]
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The diagonal of the associahedra, UPenn Deformation Theory Seminar, November 1, 2021 [notes]
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The slides for the Oral exam, March 2021. Warning: The ideas here are preliminary and many are misleading or wrong.
Seminars
Teaching
- 228-1 Multivariable differential calculus for Engineering, Fall 2025. Sec. 31 (MWF 9 am) and Sec 41 (MWF 10 am). See Canvas for information.
- Higher Category Theory, March 2025
Notes
Mostly handwritten, notes for a learning seminar or just for myself (and some are not even completed).
- notes on past quals algebra problems from when I lead review sessions for first-year graduate students (may contain wrong solutions. large file).
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