Descent techniques in algebraic K-theory by Hyungseop Kim A thesis submitted in conformity
with the requirements for the degree Page 1 Descent techniques in algebraic K-theory by …

We prove that the derived category of $ R $-linear representations of a finite group $ G $ is
stratified for any regular commutative ring $ R $. As an application, we obtain a classification …

We prove that algebraic de Rham cohomology as a functor defined on smooth F p-algebras
is formally étale in a precise sense. This result shows that given de Rham cohomology, one …

We investigate to what extent we can descend the classification of localizing, smashing and
thick ideals in a presentably symmetric monoidal stable∞-category C along a descendable …

In this paper, we investigate the group of endotrivial modules for certain $ p $-groups. Such
groups were already been computed by Carlson-Th\'evenaz using the theory of support …

We extend the theory of ambidexterity and higher semiadditivity developed by M. Hopkins
and J. Lurie, and show that the∞-categories of T (n)-local spectra are∞-semiadditive for all …

We define a notion of $\infty $-properads that generalises $\infty $-operads by allowing
operations with multiple outputs. Specializing to the case where each operation has a single …

In this thesis, we study interactions between algebraic and coalgebraic structures in infinity-
categories (more precisely, in the quasicategorical model of (infinity, 1)-categories). We …

Let $ X $ be a topological space with Noetherian mod $ p $ cohomology and let $
C^*(X;\Bbb {F} _p) $ be the commutative ring spectrum of $\Bbb {F} _p $-valued cochains on …

In this paper, we define" animated affinoid algebras" and prove some basic properties of
them. Then we generalize the result of the previous paper of the author and the result of …