Lecture notes

Notes for a summer school in KIAS, June 2023. Minor revisions March 2024.
An introduction to stacks using the language of ∞-categories.
A cohomological approach to intersection theory on schemes and stacks.
An introduction to ∞-categories and a modern account of perfect complexes and higher algebraic K-theory following Thomason–Trobaugh. Intended to be much more accessible than the WS 2017/18 version.
An introduction to algebraic K-theory and Chow rings of smooth algebraic varieties.
An introduction to algebraic K-theory and Chow rings of smooth algebraic varieties.
An overview of Nisnevich and pro-cdh descent for algebraic K-theory of derived schemes.