Research
My research interests are in homotopy theory, motivated from the chromatic perspective, and the tools I use are often computational. Here are some things that I have been interested in recently.
- periodicity in stable motivic homotopy theory
- odd primary computations
- the kq-based Adams spectral sequence
- blueshift in motivic homotopy theory
- motivic invariants over more general base schemes
- equivariant analogues of immersion problems
I have written user’s guides to some of my papers that you can check out here.
Preprints/publications
| # | Title | Authors | Links | Status |
|---|---|---|---|---|
| 8. | An exotic self-map of periodicity 1 | Jackson Morris | In preparation | |
| 7. | Motivic K-theory cooperations over the rationals | Jackson Morris, Sarah Petersen, Liz Tatum | In preparation | |
| 6. | Periodic phenomena in stable motivic homotopy theory | Jackson Morris | arXiv | Submitted |
| 5. | Immersions of $\mathrm{C}_2$-projective spaces via $\mathrm{K}\mathbb{R}$-theory | Manyi Guo, Jackson Morris, Alex Waugh, Albert Yang | arXiv | Submitted |
| 4. | Splittings of truncated motivic Brown-Peterson cooperation algebras | Jackson Morris, Sarah Petersen, Liz Tatum | arXiv | Submitted |
| 3. | Rings of cooperations for hermitian K-theory over finite fields | Jackson Morris | arXiv, User’s Guide | Accepted to Algebraic & Geometric Topology |
| 2. | On the ring of cooperations for real hermitian K-theory | Jackson Morris | arXiv, User’s Guide | Accepted to Annals of K-theory |
| 1. | Toric double determinantal varieties | Alexander Blose, Patricia Klein, Owen McGrath, Jackson Morris | arXiv | Communications in Algebra (2021) |
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|---|
| The ring of cooperations $\pi_{**}(\text{kq} \otimes \text{kq})$ over $\mathbb{F}_3$. |
Selected recent talks
- Higher Witt K-theories, YTM, June 2026.
- Higher Witt K-theories, Cascade Topology Seminar, May 2026. Slides
- Cooperations in motivic homotopy theory, Thesis defense, May 2026. Slides
- Splittings and periodicity in motivic homotopy theory, University of Washington Topology Seminar, February 2026
- Cooperations in motivic homotopy theory, JMM, January 2026. Slides
- Splittings and cooperations in motivic homotopy theory, University of Virginia Topology Seminar, November 2025
- Splittings and cooperations in motivic homotopy theory, University of Kentucky Topology Seminar, November 2025
- Higher Adams differentials and hidden extensions, eCHT Secondary Steenrod Algebra Reading Seminar, November 2025
- Splittings and cooperations in motivic homotopy theory, Duke University Geometry and Topology Seminar, October 2025
- Splittings of truncated motivic Brown-Peterson cooperations algebras, University of Colorado Boulder Homotopy Theory Seminar, September 2025