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Research

Real spin bordism and orientations of topological K-theory, with Zachary Halladay; preprint (2024)

Generalizations and strengthenings of Ryser's conjecture, with Louis DeBiasio, Grace McCourt, and Hannah Sheats; Electronic Journal of Combinatorics (2021)

Expository notes

Strong monoidal functors and modules (2023)
While trying to sort out varying Clifford algebra sign conventions in the literature, I wanted 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.

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

Equivariant K-theory (2022)
Notes for a talk given on 9/19/22 in this seminar.

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