Christian Haesemeyer

Department of Mathematics
University of California Los Angeles
Box 951555
Los Angeles, California 90095-1555

Office: Math Sciences Building 6304
Phone: (310) 825-3364
e-mail: chh-AT-maREMOVEth-DOT-ucla-DOT-edu



Southern California Algebraic Geometry Calendar

Research Interests: Algebraic K-theory and motivic cohomology, in particular the algebraic K-theory of singular schemes and semi-topological K-theory; motivic homotopy theory.

Curriculum Vitae

Teaching:

Fall 2014, 210A Algebra

Past courses:

Math 110BH 08F Math 115 A/4, 09W Math 212, 09S Math 285C, 10W Math 115A/1, 10S Math 117, 10F Math 97, 11W Math 115A/2, 11S Math 33B/1, 11F Math 110AH, 11F Math 227A, 12W Math 110BH, 12W Math 106, 12S Math 110C, 13W Math 31B/1, 13F Math 110AH

Publications and Preprints

  • The K-theory of toric varieties in positive characteristic. Joint with G. Cortiñas, Mark E. Walker and C. Weibel. Preprint 2012. Journal of Topology 7:247-286, 2014. arxiv
  • The 0-th stable A^1-homotopy sheaf and quadratic zero cycles. Joint with A. Asok. Preprint 2011. arxiv
  • Toric varieties, monoid schemes, and cdh descent. Joint with G. Cortiñas, Mark E. Walker and C. Weibel. Preprint 2011 To appear in Journal für die Reine und Angewandte Mathematik. arxiv
  • Stable A^1 homotopy and R-equivalence. Joint with A. Asok. JPAA 215 (2011): 2469-2472. arxiv
  • K-theory of cones of smooth varieties. Joint with G. Cortiñas, Mark E. Walker and C. Weibel. Journal of Alg. Geom. 22:13-34, 2013. arxiv
  • Lipschitz cocycles and Poincare duality. Joint with E. M. Friedlander. In The geometry of algebraic cycles. Proceedings of a conference on Algebraic cycles in Columbus, Ohio. Clay Mathematics Proceedings vol. 9. AMS 2010. pdf
  • Norm varieties and the Chain lemma (after Markus Rost). Joint with C. Weibel. In Algebraic Topology The Abel Symposium 2007. Abel Symposia 4, Springer 2009. arxiv
  • Bass' NK groups and cdh-fibrant Hochschild homology. Joint with G. Cortiñas, M. E. Walker and C. Weibel. Inventiones Math 181 (2010): 421-448. arxiv
  • The K-theory of toric varieties. Joint with G. Cortiñas, M. Walker and C. Weibel. Transactions of the AMS 361 (2009), 3325-3341. arxiv
  • Infinitesimal cohomology and the Chern character to negative cyclic homology. Joint with G. Cortiñas and C. Weibel. Math. Ann. 344 No. 4 (2009). arxiv
  • K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst. Joint with G. Cortiñas and C. Weibel. Journal of the AMS 21 No. 2, 2008. arxiv
  • Cyclic homology, cdh-cohomology and negative K-theory. Joint with G. Cortiñas, M. Schlichting and C. Weibel. Annals of Math. 167 no. 2, 2008. arxiv
  • Motives and etale motives with finite coefficients. Joint with J. Hornbostel. K-theory 34 No. 3, 2005.
  • Descent properties of homotopy K-theory. Duke Mathematical Journal Vol. 125 No. 3, 2004. pdf
  • Techniques, computations and conjectures for semi-topological K-theory. Joint with E. Friedlander and M. Walker. Math. Ann. 330, 2004.

  • Friends and collaborators

    Aravind Asok
    Guillermo Cortiñas
    Eric Friedlander.
    Jens Hornbostel
    Julia Pevtsova
    Marco Schlichting
    Mark Walker
    Chuck Weibel