Papers and preprints

10 On algebraic vector bundles of rank 2 over smooth affine fourfolds, with Thomas Brazelton and Tariq Syed. Preprint.
9 Enumerating complex rank n vector bundles on CP^{n+1}. To appear in Proc. AMS.
8 Enumerating stably trivial vector bundles with higher real K-theories, with Hood Chatham and Yang Hu. Submitted.
7 Rank-preserving additions for topological vector bundles, after a construction of Horrocks. Algebraic & Geometric Topology (2025).
6 Cofibration category of digraphs for path homology, with Daniel Carranza, Brandon Doherty, Chris Kapulkin, Maru Sarazola, and Liang Ze Wong. Algebraic Combinatorics (2024).
5 A classification of complex rank 3 bundles on complex projective 5-space. Advances in Mathematics (2024).
4 Compactly Supported A^1-Euler characteristic and the Hochschild complex, with Niny Arcila Maya, Candace Bethea, Kirsten Wickelgren, and Inna Zhakarevich. Topology and its Applications (2022).
3 The trace of the A^1-local degree, with Thomas Brazelton, Robert Burklund, Stephen McKean, and Michael Montoro. Homotopy, Homology, and Applications (2021)
2 Localization in Homotopy Type Theory, with J. Daniel Christensen, Egbert Rijke and Luis Scoccola. Higher Structures (2020).
1 Effective divisors on moduli spaces of rational curves with marked points. Michigan Math. J. (2016)

Other work

As part of my undergrad thesis, I created a related database of spherical hypertree divisors generated using Macaulay2.