Mathematical papers and notes

Published papers and notes

The underlined title is a link to the paper in PDF-format.

• Integral cohomology and Chern classes of GLZ,
  D. Arlettaz, Ch. Ausoni, M. Mimura and N. Yagita, Math. Proc. of the Cambridge Philos. Soc. 131, 445-457 (2001).
• On the Hurewicz map and Postnikov invariants of KZ,
  Ch. Ausoni, Cohomological Methods in Homotopy Theory, Progress in Mathematics 196, 11-20 (2001).
• An introduction to algebraic K-theory,
  Ch. Ausoni, Proceedings of the 20th Winter School "Geometry and Physics" (Srní, 2000), Rend. Circ. Mat. Palermo (2) Suppl. 66, 11-28 (2001).
• Algebraic K-theory of topological K-theory,
  Ch. Ausoni and J. Rognes, Acta Math. 188, 1-39 (2002).
• Topological Hochschild homology of connective complex K-theory,
  Ch. Ausoni, Amer. J. Math. 127, 1261-1313 (2005).
• The chromatic red-shift in algebraic K-theory,
  Ch. Ausoni and J. Rognes, Enseign. Math. (2) 54, 9-11 (2008).
• Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere,
  Ch. Ausoni, B. I. Dundas and J. Rognes, Doc. Math. 13, 795-801 (2008).
• Two-vector bundles (extended abstract),
  Ch. Ausoni, Oberwolfach Rep. 5, no. 4, Workshop: Topologie, 2464-2466 (2008).
• On the algebraic K-theory of the complex K-theory spectrum,
  Ch. Ausoni, Invent. Math. 180, 611-668 (2010).
• Algebraic K-theory of the first Morava K-theory,
  Ch. Ausoni and J. Rognes, J. Eur. Math. Soc. 14, 1041-1079 (2012).
• Rational algebraic K-theory of topological K-theory,
  Ch. Ausoni and J. Rognes, Geom. Topol. 16, 2037-2065 (2012).
• Towards topological Hochschild homology of Johnson-Wilson spectra,
  Ch. Ausoni and B. Richter, Algebr. Geom. Topol. 20, No. 1, 375-393 (2020).
• Algebraic K-theory of elliptic cohomology ,
  G. Angelini-Knoll, Ch. Ausoni, D. Culver, E. Höning and J. Rognes, Geometry &amkp; Topology 29-2 (2025), 619--686. DOI 10.2140/gt.2025.29.619.

Preprints and papers in preparation

• Adjunction of roots, algebraic K-theory and chromatic redshift, arXiv:2211.16929[math.AT],
  Ch. Ausoni, Ö. Bayindir and T. Moulinos.
• Algebraic K-theory of real topological K-theory, arXiv:2309.11463[math.AT],
  G. Angelini-Knoll, Ch. Ausoni and J. Rognes.
• Algebraic K-theory of the fraction field of topological K-theory,
  Ch. Ausoni and J. Rognes, in preparation. An older version is available at arXiv:0911.4781[math.KT].

Theses

• Structures multiplicatives en K-théorie algébrique et en homologie du groupe linéaire,
  Ch. Ausoni [D. Arlettaz (Advisor)], Master Thesis, University of Lausanne, 1994.
• Propriétés homotopiques de la K-théorie algébrique des entiers,
  Ch. Ausoni [D. Arlettaz (Advisor), V. Snaith and G. Mislin (Referees), W.-D. Schneider (President)], PhD Thesis, University of Lausanne, 1998.
• Algebraic K-theory of complex K-theory by trace methods,
  Ch. Ausoni, Habilitation Thesis, University of Bonn, 2008.