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Notes

[March 2023] Strong monoidal functors and modules
While trying to sort out varying Clifford algebra sign conventions in the literature, I needed to know that a strong monoidal functor which is an isomorphism of categories preserves categories of modules. I couldn't find this fact anywhere, so I wrote up a proof. A similar fact holds for equivalences of categories.

[October 2022] Twisted equivariant K-theory
Notes for a talk given on 10/24/22 in this seminar.

[September 2022] Equivariant K-theory
Notes for a talk given on 9/19/22 in this seminar.

[February 2022] The (strict) 2-category of categories
A detailed proof that categories, functors, and natural transformations form a strict 2-category.