Mathematical Publications

The underlined titles are links to the article's page, in the case of free electronic journals, or a PDF version of the published paper, when available, or the latest DVI version of the preprint. (Alternative formats in parentheses.)

• Published papers
• Accepted for publication
• Submitted for publication
• Preprints in preparation
• Inactive preprints

Published papers

1. On torus knots and the composition of mathematical knots
   J. Rognes, Philips Contest for Young Scientists (1984).
2. A spectrum level rank filtration in algebraic K-theory (AmSTeX/DVI) (Plain TeX/DVI)
   J. Rognes, Topology 31 (1992) 813-845.
3. Approximating K_*(Z) through degree five
   J. Rognes, K-Theory 7 (1992) 175-200.
4. Characterizing connected K-theory by homotopy groups
   J. Rognes, Math. Proc. Camb. Phil. Soc. 114 (1993) 99-102.
5. The Hatcher-Waldhausen map is a spectrum map
   J. Rognes, Mathematische Annalen 299 (1994) 529-549.
6. The fiber of the linearization map A(*) --> K(Z) (DVI preprint)
   J. R. Klein and J. Rognes, Topology 36 (1997) 829-848.
7. Trace maps from the algebraic K-theory of the integers (DVI preprint)
   J. Rognes (after M. Bökstedt), J. Pure Appl. Algebra 125 (1998) 277-286.
8. The product on topological Hochschild homology of the integers with mod 4 coefficients (DVI preprint)
   J. Rognes, J. Pure Appl. Algebra 134 (1999) 210-217.
9. Topological cyclic homology of the integers at two (DVI preprint)
   J. Rognes, J. Pure Appl. Algebra 134 (1999) 219-286.
10. Algebraic K-theory of the two-adic integers (DVI preprint)
    J. Rognes, J. Pure Appl. Algebra 134 (1999) 287-326.
11. Étale descent for two-primary algebraic K-theory of totally imaginary number fields (DVI preprint)
    J. Rognes and C. Weibel, K-Theory 16 (1999) 101-104.
12. Two-primary algebraic K-theory of spaces, and related spaces of symmetries of manifolds
    J. Rognes, in Algebraic K-Theory, W. Raskind and C. Weibel (eds.),
    Proc. Symp. Pure Math. 67, Amer. Math. Soc. (1999) 213-229.
13. K_4(Z) is the trivial group (DVI preprint)
    J. Rognes, Topology 39 (2000) 267-281.
14. Two-primary algebraic K-theory of two-regular number fields (DVI preprint)
    J. Rognes and P. A. Østvær, Mathematische Zeitschrift 233 (2000) 251-263.
15. Two-primary algebraic K-theory of rings of integers in number fields (DVI preprint)
    J. Rognes and C. Weibel, Journal of the Amer. Math. Soc. 13 (2000) 1-54.
16. Algebraic K-theory of topological K-theory (DVI preprint)
    Ch. Ausoni and J. Rognes, Acta Mathematica 188 (2002) 1-39.
17. Two-primary algebraic K-theory of pointed spaces (PS preprint)
    J. Rognes, Topology 41 (2002) 873-926.
18. The Connes-Moscovici approach to cyclic cohomology for compact quantum groups
    J. Kustermans, J. Rognes and L. Tuset, K-Theory 26 (2002) 101-137.
19. A chain rule in the calculus of homotopy functors (PS) (PDF)
    J. R. Klein and J. Rognes, Geometry & Topology 6 (2002) 853-887.
20. The smooth Whitehead spectrum of a point at odd regular primes (PS) (PDF)
    J. Rognes, Geometry & Topology 7 (2003) 155-184.
21. Vidunderlige nye ringer
    J. Rognes, Skrifter/Det Kongelige norske videnskabers selskab (2003) 1-16.
22. Two-vector bundles and forms of elliptic cohomology (US paper)
    N.A. Baas, B.I. Dundas and J. Rognes, in Topology, Geometry and Quantum Field Theory,
    London Math. Soc. Lecture Note Ser. 308 Cambridge University Press (2004) 18-45.
23. Differentials in the homological homotopy fixed point spectral sequence (PS) (PDF)
    R.R. Bruner and J. Rognes, Algebraic and Geometric Topology 5 (2005) 653-690.
24. Hopf algebra structure on topological Hochschild homology (PS) (PDF)
    V. Angeltveit and J. Rognes, Algebraic and Geometric Topology 5 (2005) 1223-1290.
25. Arbeitsgemeinschaft mit aktuellem Thema: Modern foundations for stable homotopy theory
    J. Rognes and S. Schwede, Oberwolfach Reports 2 (2005) 2571-2580.
26. Galois extensions of structured ring spectra (PS) (PDF) (Memoir) (arXiv page)
    J. Rognes, in Memoirs of the Amer. Math. Soc., vol. 192, no. 898 (March 2008) 1-97.
    Addendum: A Galois extension that is not faithful (PS) (PDF)
    Correction: A not-necessarily commutative map (PS) (PDF)
27. Stably dualizable groups (PS) (PDF) (Memoir) (arXiv page)
    J. Rognes, in Memoirs of the Amer. Math. Soc., vol. 192, no. 898 (March 2008) 99-132.
28. The chromatic red-shift in algebraic K-theory (PS) (PDF)
    Ch. Ausoni and J. Rognes, in Guido's Book of Conjectures,
    Monographie de L'Enseignement Mathématique 40 (2008) 13-15.
29. Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere (PS) (PDF)
    Ch. Ausoni, B. I. Dundas and J. Rognes, Documenta Mathematica 13 (2008) 795-801.
30. Topological logarithmic structures (PDF)
    J. Rognes, in New topological contexts for Galois theory and algebraic geometry (BIRS 2008),
    Geometry & Topology Monographs 16 (2009) 401-544.
31. Homology operations in the topological cyclic homology of a point (PDF)
    H. S. Bergsaker and J. Rognes, Geometry & Topology 14 (2010) 755-772.
32. The Segal conjecture for topological Hochschild homology of complex cobordism (arXiv page)
    S. Lunøe-Nielsen and J. Rognes, Journal of Topology 4 (2011) 591-622.
33. Stable bundles over rig categories (arXiv page)
    N. Baas, B. Dundas, B. Richter and J. Rognes, Journal of Topology 4 (2011) 623-640.
34. Ring completion of rig categories (PS) (PDF) (arXiv page)
    N. Baas, B. Dundas, B. Richter and J. Rognes, J. Reine Angew. Math., DOI: 10.1515/crelle.2012.024 (38 pages).

Accepted for publication

35. The sphere spectrum (PS) (PDF)
    J. Rognes, in Encyclopaedia of Mathematics, Kluwer Academic Publishers, 4 pages.
36. The modular square for quantum groups (PS) (PDF)
    J. Kustermans, J. Rognes and L. Tuset, in Quantum Symmetry in Noncommutative Geometry,
    European Mathematics Society Publishing House, 42 pages.
37. Algebraic K-theory of the first Morava K-theory (PS) (PDF) (arXiv page)
    Ch. Ausoni and J. Rognes, J. Eur. Math. Soc., 38 pages.
38. Spaces of PL manifolds and categories of simple maps (PS)
    F. Waldhausen, B. Jahren and J. Rognes, Annals of Mathematics Studies, 166 pages.
39. Rational algebraic K-theory of topological K-theory (PS) (PDF) (arXiv page)
    Ch. Ausoni and J. Rognes, Geometry and Topology, 22 pages.

Submitted for publication

40. The topological Singer construction (PS) (PDF) (arXiv page)
    S. Lunøe-Nielsen and J. Rognes (January 2011) 31 pages.
41. On cyclic fixed points of spectra (PS) (PDF) (arXiv page)
    M. Bökstedt, R. R. Bruner, S. Lunøe-Nielsen and J. Rognes (April 2011) 7 pages.

Preprints in preparation

42. Algebraic K-theory of the fraction field of topological K-theory (PS) (PDF) (arXiv page)
    Ch. Ausoni and J. Rognes (November 2009) 54 pages.
43. Logarithmic topological cyclic homology
    J. Rognes (August 2009) 16 pages.
44. Topological Hochschild homology of topological modular forms
    R. R. Bruner and J. Rognes (August 2008) 23 pages.
45. Higher red-shift
    G. Carlsson, B. I. Dundas and J. Rognes (May 2008) 20 pages.
46. Algebraic K-theory of group rings and topological cyclic homology
    W. Lück, H. Reich, J. Rognes and M. Varisco (May 2007) 59 pages.
47. Complex oriented logarithmic structures
    J. Rognes (December 2008) 15 pages.
48. Topological arithmetic duality
    J. Rognes (November 2008).
49. Homotopy operations in TC(*; p)
    R. R. Bruner and J. Rognes (February 2008).
50. On the linearization map A(*) --> K(Z)
    M. Bökstedt and J. Rognes (November 2007).
51. A family of topological Quillen spectral sequences
    J. Rognes (February 2007).
52. On the image of Milnor's K_4 in Quillen's K_4 for number fields
    J. Rognes (1999/2003).
53. K(n)-compact groups
    T. Bauer and J. Rognes (2003).
54. Algebraic models for topological cyclic homology and Whitehead spectra of simply connected spaces
    K. Hess and J. Rognes (2002).
55. A note on monochromatic K-theory
    J. Rognes (2002).
56. Determinant maps of vector bundle automorphisms
    H.J. Riddervold and J. Rognes (2002).
57. Two-vector bundles and elliptic objects
    N.A. Baas, B.I. Dundas and J. Rognes (2002).
58. Symmetric L-theory and Z/2-Tateified algebraic K-theory
    J. Rognes and M. Weiss (2001).

Inactive preprints

59. The Tits buildings for Z/p^n
    J. Rognes (1991).
60. K_4(Z) is the trivial group
    J. Rognes (1993).
61. Algebraic K-theory and stable smooth pseudoisotopy of discs
    J. Rognes (1996).
62. Mod two algebraic K-theory of rings of integers in number fields
    J. Rognes (1996).
63. Two-primary algebraic K-theory of curves over finite fields
    J. Rognes (1997).
64. Topological cyclic homology of the sphere spectrum
    J. Rognes (1999).