Morgan's Research



Papers and preprints

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

Other work

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