3 papers
math.AG2026
On the motivic cohomology of some singular rings
Tess Bouis
Using non--invariant motivic cohomology, we prove motivic refinements of certain known computations of the algebraic -theory of singular rings, such as rings of th…
math.NT2026
The cyclosyntomic regulator of a number field
Tess Bouis, Quentin Gazda
We construct a q-deformation of the p-adic regulator of a number field, called the cyclosyntomic regulator, building on the Habiro ring of Garoufalidis-Scholze-Wheeler-Zagier. The…
math.AG2025
Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology
Tess Bouis
We prove that the motivic cohomology of mixed characteristic schemes, introduced in our previous work, satisfies various expected properties of motivic cohomology, including a moti…