50 citations · 216 across the 25 of their papers we have counts for
31 papers
The Nil K-groups of finite groups
Ted Chinburg, Matthew Morrow, Georgios Pappas +1
We show that for every finite group and every integer , the Nil group of the integral group ring of has finite exponent, and give a bound…
The K-theory of perfectoid rings
Benjamin Antieau, Akhil Mathew, Matthew Morrow
We establish various properties of the p-adic algebraic K-theory of smooth algebras over perfectoid rings living over perfectoid valuation rings. In particular, the p-adic K-theory…
Milnor -theory of -adic rings
Morten Lüders, Matthew Morrow
We study the mod Milnor -groups of -adically complete and -henselian rings, establishing in particular a Nesterenko-Suslin style description in terms of the Milnor r…
Generalised representations as q-connections in integral -adic Hodge theory
Matthew Morrow, Takeshi Tsuji
We relate various approaches to coefficient systems in relative integral -adic Hodge theory, working in the geometric context over the ring of integers of a perfectoid field. Th…
On the Beilinson fiber square
Benjamin Antieau, Akhil Mathew, Matthew Morrow +1
Using topological cyclic homology, we give a refinement of Beilinson's -adic Goodwillie isomorphism between relative continuous -theory and cyclic homology. As a result, we g…
-theory of valuation rings
Shane Kelly, Matthew Morrow
We prove several results showing that the algebraic -theory of valuation rings behave as though such rings were regular Noetherian, in particular an analogue of the Geisser--Lev…