Dustin Clausen

activity

20162026

collaborators

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7 papers · 1 filter

math.KT2021

The reductive Borel-Serre compactification as a model for unstable algebraic K-theory

Dustin Clausen, Mikala Ørsnes Jansen

Let $A$ be an associative ring and $M$ a finitely generated projective $A$ -module. We introduce a category $RBS (M)$ and prove several theorems which show that its ge…

math.KT2020

Descent and vanishing in chromatic algebraic $K$ -theory via group actions

Dustin Clausen, Akhil Mathew, Niko Naumann +1

We prove some $K$ -theoretic descent results for finite group actions on stable $\infty$ -categories, including the $p$ -group case of the Galois descent conjecture of Ausoni-Rognes.…

math.KT2020

Remarks on $K (1)$ -local $K$ -theory

Bhargav Bhatt, Dustin Clausen, Akhil Mathew

We prove two basic structural properties of the algebraic $K$ -theory of rings after $K (1)$ -localization at an implicit prime $p$ . Our first result (also recently obtained by Land--…

math.KT2019

Hyperdescent and étale K-theory

Dustin Clausen, Akhil Mathew

We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main results show that étale K-theory is very close to a noncommutative invariant called Selmer…

math.KT2018

K-theory and topological cyclic homology of henselian pairs

Dustin Clausen, Akhil Mathew, Matthew Morrow

Given a henselian pair $(R, I)$ of commutative rings, we show that the relative $K$ -theory and relative topological cyclic homology with finite coefficients are identified via the…

math.KT2017

A K-theoretic approach to Artin maps