3 papers
math.KT2025
A motivic filtration on the topological cyclic homology of commutative ring spectra
Jeremy Hahn, Arpon Raksit, Dylan Wilson
For a prime number and a -quasisyntomic commutative ring , Bhatt--Morrow--Scholze defined motivic filtrations on the -completions of $\mathrm{THH}(R), \mathrm{TC}^{-}(…
math.KT2025
Syntomic cohomology of Morava K-theory
Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson
We compute the MU-based syntomic cohomologies, mod , of all -MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…
math.AT2025
Examples of disk algebras
Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2
We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum , its truncated variants , Ravenel's spectra , and even…