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
• In preparation

Published papers

1. On torus knots and the composition of mathematical knots
   J. Rognes, Extended Essay (1983) / 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 (DVI preprint)
   J. Rognes, K-Theory 7 (1992) 175-200.
4. Characterizing connected K-theory by homotopy groups (DVI preprint)
   J. Rognes, Mathematical Proceedings of the Cambridge Philosophical Society 114 (1993) 99-102.
5. The Hatcher-Waldhausen map is a spectrum map (DVI preprint)
   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), Journal of Pure and Applied Algebra 125 (1998) 277-286.
8. The product on topological Hochschild homology of the integers with mod 4 coefficients (DVI preprint)
   J. Rognes, Journal of Pure and Applied Algebra 134 (1999) 210-217.
9. Topological cyclic homology of the integers at two (DVI preprint)
   J. Rognes, Journal of Pure and Applied Algebra 134 (1999) 219-286.
10. Algebraic K-theory of the two-adic integers (DVI preprint)
    J. Rognes, Journal of Pure and Applied 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.),
    Proceedings of Symposia in Pure Mathematics 67 American Mathematical Society (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 American Mathematical Society 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 (PDF)
    J. Rognes, Skrifter/Det Kongelige norske videnskabers selskab (2003) 1-16.
22. Two-vector bundles and forms of elliptic cohomology (PDF) (US paper)
    N.A. Baas, B.I. Dundas and J. Rognes, in Topology, Geometry and Quantum Field Theory,
    London Mathematical Society Lecture Note Series 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 American Mathematical Society, 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 American Mathematical Society, 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 (DVI) (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 (DVI) (PS) (arXiv page) (de Gruyter page)
    N. Baas, B. Dundas, B. Richter and J. Rognes, Journal für die reine und angewandte Mathematik 674 (2013) 43-80,
    DOI: 10.1515/crelle.2012.024 .
35. Algebraic K-theory of the first Morava K-theory (DVI) (PS) (arXiv page)
    Ch. Ausoni and J. Rognes, Journal of the European Mathematical Society 14 (2012) 1041-1079.
36. Rational algebraic K-theory of topological K-theory (PDF) (arXiv page)
    Ch. Ausoni and J. Rognes, Geometry and Topology 16 (2012) 2037-2065,
    DOI: 10.2140/gt.2012.16.2037 .
37. The topological Singer construction (PDF) (arXiv page)
    S. Lunøe-Nielsen and J. Rognes, Documenta Mathematica 17 (2012) 861-909.
38. Spaces of PL manifolds and categories of simple maps (PS) (PUP page)
    F. Waldhausen, B. Jahren and J. Rognes, Annals of Mathematics Studies 186 Princeton University Press (2013) 184 pages.
    Book Review: Jahresber. Dtsch. Math. Ver. (2014) 115:223-228 by M. Weiss.
    Book Review: www.euro-math-soc.eu/book-reviews by Vicente Muñoz.
39. On cyclic fixed points of spectra (PS) (PDF) (arXiv page)
    M. Bökstedt, R. R. Bruner, S. Lunøe-Nielsen and J. Rognes, Mathematische Zeitschrift 276 (2014) 81-91,
    DOI 10.1007/s00209-013-1187-0 .
40. Algebraic K-theory of strict ring spectra (final PDF) (arXiv page)
    J. Rognes, Proceedings of the International Congress of Mathematicians (Seoul, 2014), volume II, 1259-1283.
41. Kan subdivision and products of simplicial sets (arXiv page)
    V. Fjellbo and J. Rognes, Transactions of the American Mathematical Society 367 (2015) 8911-8931.
42. Localization sequences for logarithmic topological Hochschild homology (arXiv page)
    J. Rognes, S. Sagave and Ch. Schlichtkrull, Mathematische Annalen 363 (2015) 1349-1398,
    DOI 10.1007/s00208-015-1202-3 .
43. Algebraic K-theory of group rings and the cyclotomic trace map (arXiv page)
    W. Lück, H. Reich, J. Rognes and M. Varisco, Advances in Mathematics 304 (2017), 930-1020,
    DOI: 10.1016/j.aim.2016.09.004 .
44. Logarithmic topological Hochschild homology of topological K-theory spectra (arXiv page)
    J. Rognes, S. Sagave and Ch. Schlichtkrull, Journal of the European Mathematical Society 20 (2018) 489-527,
    DOI 10.4171/JEMS/772 .
45. Assembly maps for topological cyclic homology of group algebras (arXiv page)
    W. Lück, H. Reich, J. Rognes and M. Varisco, Journal für die reine und angewandte Mathematik 755 (2019) 247-277,
    DOI 10.1515/crelle-2017-0023 .
46. Cubical and cosimplicial descent (arXiv page)
    B. I. Dundas and J. Rognes, Journal of the London Mathematical Society (2) 98 (2018) 439-460,
    DOI 10.1112/jlms.12141 .
47. Boardman's whole-plane obstruction group for Cartan-Eilenberg systems (arXiv page)
    G. O. Helle and J. Rognes, Documenta Mathematica 24 (2019) 1855-1878,
    DOI: 10.25537/dm.2019v24.1855-1878 .
48. The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum (arXiv page)
    J. Rognes, Journal of Topology 13 (2020) 939-968,
    DOI: 10.1112/topo.12141 .
49. The Adams Spectral Sequence for Topological Modular Forms
    R. R. Bruner and J. Rognes, Mathematical Surveys and Monographs, volume 253, American Mathematical Society (2021) xix+690 pages.
    ISBN: 978-1-4704-5674-0. (Errata).
    AMS Web page: https://bookstore.ams.org/SURV/253.
50. The cohomology of the mod 2 Steenrod algebra [Data set] (documentation) (arXiv page)
    R. R. Bruner and J. Rognes, NIRD Research Data Archive / Norstore,
    DOI: 10.11582/2021.00077 .
    (Ext_A(F₂, F₂) for t≤200 with h₀, h₁ and h₂) (Ext_A(F₂, F₂) for t≤200 with h₀, h₁, h₂ and h₃)
51. The Adams spectral sequence for the image-of-J spectrum (arXiv page)
    R. R. Bruner and J. Rognes, Transactions of the American Mathematical Society 375 (2022) 5803-5827,
    DOI: 10.1090/tran/8680 .
52. The local cohomology spectral sequence for topological modular forms (arXiv page)
    R. R. Bruner, J. P. C. Greenlees and J. Rognes, Mathematische Zeitschrift, 302 (2022) 129-180,
    DOI: 10.1007/s00209-022-03033-4 .
53. Exponentials of non-singular simplicial sets (arXiv page)
    V. Fjellbo and J. Rognes, Homology, Homotopy and Applications, 24 (2022) 307-314,
    DOI: 10.4310/HHA.2022.v24.n2.a15 .
54. The Segal conjecture for smash powers (arXiv page)
    H. S. Bergsaker and J. Rognes, Journal of Topology, 16 (2023) 567-587,
    DOI: 10.1112/topo.12290 .
55. On the motivic Segal conjecture (arXiv page)
    T. Gregersen and J. Rognes, Journal of Topology, 16 (2023) 1258-1313,
    DOI: 10.1112/topo.12311 .
56. A multiplicative Tate spectral sequence for compact Lie group actions (arXiv page)
    A. Hedenlund and J. Rognes, Memoirs of the American Mathematical Society, vol. 294, no. 1468 (February 2024), v+134 pages.
    DOI: 10.1090/memo/1468 .

Accepted for publication

57. The sphere spectrum (PS) (PDF)
    J. Rognes, in Encyclopaedia of Mathematics, Kluwer Academic Publishers, 4 pages.
58. 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.
59. Algebraic K-theory of elliptic cohomology (arXiv page)
    G. Angelini-Knoll, Ch. Ausoni, D.L. Culver, E. Höning and J. Rognes, Geometry & Topology, 64 pages.

Submitted for publication

60. Algebraic K-theory of real topological K-theory (arXiv page)
    Gabriel Angelini-Knoll, Christian Ausoni and John Rognes, 52 pages.

In preparation

61. Logarithmic topological cyclic homology
    John Rognes, Steffen Sagave and Christian Schlichtkrull (February 2024) 94 pages.
62. Maps from topological modular forms to real K-theory
    Robert R. Bruner and John Rognes (October 2018) 7 pages.
63. The weight and rank filtrations (arXiv page)
    John Rognes (October 2016) 12 pages.
64. Topological periodic homology of the integers
    Knut Berg and John Rognes (April 2016) 88 pages.
65. Topological Hochschild homology of topological modular forms
    Robert R. Bruner and John Rognes (June 2014) 23 pages.
66. On the Q-construction for infinity-categories
    Clark Barwick and John Rognes (September 2013) 23 pages.
67. A higher topological Singer construction
    Håkon Bergsaker and John Rognes (May 2013).
68. The homological homotopy fixed point spectral sequence / Redshift
    John Rognes (November 2011) 13 pages.
69. Determinants over complex K-theory
    Birgit Richter and John Rognes (June 2011).
70. Motivic complexes from the stable rank filtration
    John Rognes (June 2010) 20 pages.
71. Algebraic K-theory of the fraction field of topological K-theory (PS) (PDF) (arXiv page)
    Ch. Ausoni and J. Rognes (November 2009) 54 pages.
72. Logarithmic topological cyclic homology
    J. Rognes (August 2009) 16 pages.
73. Coherent modules and G-theory
    Clark Barwick and John Rognes (May 2009).
74. Group completion of GL_n(N_0)
    John Rognes (April 2009) 8 pages.
75. Higher red-shift
    G. Carlsson, B. I. Dundas and J. Rognes (May 2008) 20 pages.
76. Complex oriented logarithmic structures
    J. Rognes (December 2008) 15 pages.
77. Topological arithmetic duality
    J. Rognes (November 2008).
78. Homotopy operations in TC(*; p)
    R. R. Bruner and J. Rognes (February 2008).
79. On the linearization map A(*) --> K(Z)
    M. Bökstedt and J. Rognes (November 2007).
80. A family of topological Quillen spectral sequences
    J. Rognes (February 2007).
81. On the image of Milnor's K_4 in Quillen's K_4 for number fields
    J. Rognes (1999/2003).
82. K(n)-compact groups
    T. Bauer and J. Rognes (2003).
83. Algebraic models for topological cyclic homology and Whitehead spectra of simply connected spaces
    K. Hess and J. Rognes (2002).
84. A note on monochromatic K-theory
    J. Rognes (2002).
85. Determinant maps of vector bundle automorphisms
    H.J. Riddervold and J. Rognes (2002).
86. Two-vector bundles and elliptic objects
    N.A. Baas, B.I. Dundas and J. Rognes (2002).
87. Symmetric L-theory and Z/2-Tateified algebraic K-theory
    J. Rognes and M. Weiss (2001).
88. Topological cyclic homology of the sphere spectrum
    J. Rognes (1999).
89. Two-primary algebraic K-theory of curves over finite fields (PDF)
    J. Rognes (1997).
90. Mod two algebraic K-theory of rings of integers in number fields
    J. Rognes (1996).
91. Algebraic K-theory and stable smooth pseudoisotopy of discs
    J. Rognes (1996).
92. K_4(Z) is the trivial group (PDF)
    J. Rognes (1993).
93. The Tits buildings for Z/p^n (PDF)
    J. Rognes (1991).