J. Morris

collaborators

4 papers

math.AT2026

Periodic phenomena in stable motivic homotopy theory

Jackson Morris

In this survey, we study how tools from stable homotopy theory have manifested and impacted motivic homotopy theory. In particular, we discuss various motivic Adams spectral sequen…

math.KT2026

Rings of cooperations for hermitian K-theory over finite fields

Jackson Morris

We compute the ring of cooperations $I ¨ _{*, *}^{F_{q}} (kq \otimes kq)$ for the very effective hermitian K-theory over all finite fields $F_{q}$ where $\t…

math.AT2026

On the ring of cooperations for real hermitian K-theory

Jackson Morris

Let kq denote the very effective cover of the motivic Hermitian K-theory spectrum. We analyze the ring of cooperations $I ¨ _{**}^{R} (kq \otimes kq)$ in the stab…

math.AT2025

Splittings of truncated motivic Brown--Peterson cooperations algebras

Jackson Morris, Sarah Petersen, Elizabeth Tatum

We construct spectrum-level splittings of $B P G L ⟨ 1 ⟩ \land B P G L ⟨ 1 ⟩$ at all primes $p$ , where $B P G L ⟨ 1 ⟩$ is the first truncated motivic Br…