My research is in algebraic K-theory – what I like
to call the Schrödinger’s cat of mathematics – when 
you open the box you might see algebraic geometry, or algebraic topology.
I have worked on the K-theory of singularities, on motives and algebraic cycles, and in motivic homotopy theory. Most recently, I have become interested in t-structures on derived categories of schemes.

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Preprints.

1. Module structure of the K-theory of polynomial-like rings, with C. Weibel. arXiv
2. On the topological period-index problem over 8-manifolds, with D. Crowley and X. Gu. arXiv
3. The 0-th stable A^1-homotopy sheaf and quadratic zero cycles. arXiv

Publications.

1. The K’ – theory of monoid sets, with C. Weibel. Proc. Amer. Math. Soc. 149 (2021), 2813–2824. arXiv
2. The Norm residue Theorem in Motivic Cohomology. 299 + xiii pages, with C. Weibel. Annals of Mathematics Studies 200, Princeton University Press 2019.
3. K-theory of line bundles and smooth varieties, with C. Weibel. Proc. Amer. Math. Soc. 146 (2018), 4139–4150. arXiv
4. The K-theory of toric schemes over regular rings of mixed characteristic, with G. Cortiñas, M. E. Walker and C. Weibel. In: Singularities, algebraic geometry, commutative algebra, and related topics, 455–479. Springer, 2018. arXiv
5. Toric varieties, monoid schemes, and cdh – descent, with G. Cortiñas, M. E. Walker and C. Weibel. Journal für die Reine und Angewandte Mathematik 698 (2015), 1–54. arXiv
6. The K-theory of toric varieties in positive characteristic, with G. Cortiñas, M. E. Walker and C. Weibel. Journal of Topology 7 (2014), 247–286. arXiv
7. K-theory of cones of smooth varieties, with G. Cortiñas, M. E. Walker and C. Weibel. Journal of Alg. Geom. 22 (2013), 13–34. arXiv
8. Stable A^1 – homotopy and R-equivalence, with A. Asok. Journal of Pure and Applied Algebra 215 (2011), 2469–2472. arxiv
9. A negative answer to a question of Bass, with G. Cortiñas, M. E. Walker and C. Weibel. Proc. Amer. Math. Soc. 139 (2011), 1187–1200. arXiv
10. Lipschitz cocycles and Poincare duality, with E. M. Friedlander. In: The geometry of algebraic cycles. Clay mathematics Proceedings, AMS, 2010. Link.
11. Bass’ NK groups and cdh-fibrant Hochschild homology, with G. Cortiñas, M. E. Walker and C. Weibel. Inventiones Math. 181 (2010), 421–448. arXiv
12. Norm varieties and the Chain Lemma (after Markus Rost), with C. Weibel. In: Abel Symposium 4, Springer 2009. arXiv
13. The K-theory of toric varieties, with G. Cortiñas, M. E. Walker and C. Weibel. Trans. Amer. Math. Soc. 361 (2009), 3325–3341. arXiv
14. Infinitesimal cohomology and the Chern character to negative cyclic homology, with G. Cortiñas and C. Weibel. Math. Ann. 344 (2009), 891–922. arXiv
15. K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst, with
    G. Cortiñas and C. Weibel. Journal of the Amer. Math. Soc. 21 (2008), 547–561. arXiv
16. Cyclic homology, cdh-cohomology and negative K-theory, with G. Cortiñas,
    M. Schlichting and C. Weibel. Annals of Math. (2) 167 (2008), 549–573. arXiv
17. Motives and étale motives with finite coefficients, with J. Hornbostel. K-Theory 34 (2005), 195–207.
18. Descent properties of homotopy K-theory. Duke Math. J. 125 (2004), 589–619
19. Techniques, computations and conjectures for semitopological K-theory, with E. M. Friedlander and M. E. Walker. Math. Ann. 330 (2004), 759–807.

Office 171
Peter Hall Building
School of Mathematics and Statistics
University of Melbourne
Parkville, Victoria 3010
Australia
phone: +61 3 834 49289
email: christian.haesemeyer@unimelb.edu.au

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