Writing
Publications and preprints
- A. Krause, A. Senger, Exact bounds for even vanishing of \(K_*(\mathbb{Z}/p^n)\), https://arxiv.org/abs/2409.20523, Sep 2024.
- F. Hebestreit, A. Krause, M. Ramzi, A note on quadratic forms, Bulletin of the London Mathematical Society 56 (2024), no. 5, 1803–1818. https://arxiv.org/pdf/2308.01795
- B. Antieau, A. Krause, T. Nikolaus, On the K-theory of \(\mathbb{Z}/p^n\), https://arxiv.org/abs/2405.04329, May 2024.
- B. Antieau, A. Krause, T. Nikolaus, Prismatic cohomology relative to \(\delta\)-rings, https://arxiv.org/abs/2310.12770, Oct. 2023.
- E. Dotto, A. Krause, T. Nikolaus and I. Patchkoria, Witt vectors with coefficients and TR, https://arxiv.org/abs/2312.12971, accepted for publication in Proceedings of the London Mathematical Society.
- A. Krause, J. McCandless, T. Nikolaus, Polygonic spectra and TR with coefficients, https://arxiv.org/abs/2302.07686, Feb. 2023.
- B. Antieau, A. Krause, T. Nikolaus, On the K-theory of \(\mathbb{Z}/p^n\) – announcement, https://arxiv.org/abs/2204.03420, Apr. 2022.
- E. Dotto, A. Krause, T. Nikolaus and I. Patchkoria, Witt vectors with coefficients and characteristic polynomials over non-commutative rings. Compositio Mathematica 158, no. 2 (2022): 366–408. https://arxiv.org/abs/2002.01538
- A.Krause, The Picard group in equivariant homotopy theory via stable module categories. Journal of Topology 18 (2025), no. 2, Paper No. e70020. https://arxiv.org/abs/2008.05551
- A. Krause and T. Nikolaus, B"okstedt periodicity and quotients of DVRs. Compositio Mathematica 158.8 (2022): 1683-1712. https://arxiv.org/abs/1907.03477
- B. Gheorghe, D. C. Isaksen, A. Krause, and N. Ricka, \(\mathbb{C}\)-motivic modular forms, Journal of the European Mathematical Society, 2021. https://arxiv.org/abs/1810.11050
- A. Krause, Periodicity in motivic homotopy theory and over \(BP_*BP\), thesis, Bonn University, Jun. 2018. PDF
- D. Heard and A. Krause, Vanishing lines for modules over the motivic Steenrod algebra, New York J. Math. 24 (2018), 183–199. https://arxiv.org/abs/1702.03683
- With Thomas Nikolaus and Phil Pützstück: Sheaves on Manifolds, a lecture course about compactly assembled \(\infty\)-categories, Verdier duality and Efimov K-theory.
- With Thomas Nikolaus: Lectures on THH
- Also with Thomas Nikolaus: A youtube lecture series on topological cyclic homology and Higher Algebra.
- Lecture notes for the Algebra 2 course I taught in Heidelberg (in German).