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Notes for a summer school in KIAS, June 2023. Published in Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures, KIAS Springer Series in Mathematics (KIASSSM) 4 (2025). [DOI]
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An introduction to stacks using the language of ∞-categories, from a lecture series at NCTS in 2022. [arXiv]
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A cohomological approach to intersection theory on schemes and stacks.
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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.
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An introduction to algebraic K-theory and Chow rings of smooth algebraic varieties.
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An introduction to algebraic K-theory and Chow rings of smooth algebraic varieties.
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An overview of Nisnevich and pro-cdh descent for algebraic K-theory of derived schemes.
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