Publications

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.