Publications
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Every motive is the motive of a stable ∞-category.
joint with Maxime Ramzi and Christoph Winges -
On filtered algebraic K-theory of stacks I: characteristic zero. preprint
joint with Elden Elmanto and Dmitry Kubrak -
Every spectrum is the K-theory of a stable ∞-category. preprint
joint with Maxime Ramzi and Christoph Winges -
Categorical Milnor squares and K-theory of algebraic stacks. Selecta Mathematica, 28 (2022)
joint with Tom Bachmann, Adeel A. Khan and Charanya Ravi
Warning: Lemma 3.5.5 contains a gap
This means that currently we can only show that the squares appearing in Theorems A, B and C are weakly cartesian and not cartesian. In Theorem 3.5.11 we have to assume that the localizing invariant is connected in the sense of Land-Tamme. The statements for connected invariants and the proofs that do not rely on this lemma can be found in my thesis -
Zariski-local framed A1-homotopy theory. preprint
joint with Andrei Druzhinin
PhD thesis
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Weighted methods in noncommutative geometry.