John Rognes

Image of John Rognes
Norwegian version of this page
Phone +47-22855845
Room 627
Username
Visiting address Moltke Moes vei 35 N. H. Abels hus 0851 Oslo
Postal address Postboks 1053 Blindern 0316 OSLO

Please note: This English language page was last updated in 2011.  The Norwegian language page is more up to date.

Research interests

Algebraic topology, algebraic K-theory, geometric topology, number theory.

Teaching

MAT4540: Algebraic Topology II (fall 2011).

Background

Cand. Mag. from UiO, 1985.

Ph. D. from Princeton University, USA, 1990.

Ph. D. judged equivalent to a Norwegian Doctor Philosophiae, 1992.

Called as associate professor at UiO, 1994.

Full professor at UiO from 1998.

Prizes

Professor Ingerid Dal og søster Ulrikke Greve Dals pris for humanistisk forskning, 1999.

Led RCN's Outstanding Younger Investigators program on "Brave New Rings", 2005-2009.

Tasks

Leader of the emphasized research group in Geometry/Topology.

Editor of Acta Mathematica.

Member of The Royal Norwegian Society of Sciences and Letters.

Member of The Norwegian Academy of Science and Letters

Cooperation

Participant in the RCN project "Topology", 2008-2011.

Tags: Geometry and topology, Mathematics

Publications

Accepted for publication

J. Rognes: "The sphere spectrum" (PS) (PDF), in Encyclopaedia of Mathematics, Kluwer Academic Publishers, 4 pages.

J. Kustermans, J. Rognes and L. Tuset: "The modular square for quantum groups" (PS) (PDF), in Quantum Symmetry in Noncommutative Geometry, European Mathematics Society Publishing House, 42 pages.

Ch. Ausoni and J. Rognes: "Algebraic K-theory of the first Morava K-theory" (PS) (PDF) (arXiv page), J. Eur. Math. Soc., 38 pages.

N. Baas, B. Dundas, B. Richter and J. Rognes: "Ring completion of rig categories" (PS) (PDF) (arXiv page), J. Reine Angew. Math., 24 pages.

S. Lunøe-Nielsen and J. Rognes: "The Segal conjecture for topological Hochschild homology of complex cobordism" (PS) (PDF) (arXiv page), J. Top., 24 pages.

Submitted for publication

Ch. Ausoni and J. Rognes: "Rational algebraic K-theory of topological K-theory" (PS) (PDF) (arXiv page) (August 2007) 22 pages.

F. Waldhausen, B. Jahren and J. Rognes: "Spaces of PL manifolds and categories of simple maps" (PS) (May 2008) 150 pages.

N. Baas, B. Dundas, B. Richter and J. Rognes: "Stable bundles over rig categories" (PS) (PDF) (arXiv page) (September 2009) 14 pages.

S. Lunøe-Nielsen and J. Rognes: "The topological Singer construction" (PS) (PDF) (arXiv page) (October 2010) 31 pages.

M. Bökstedt, R. R. Bruner, S. Lunøe-Nielsen and J. Rognes: "On cyclic fixed points of spectra" (PS) (PDF) (arXiv page) (October 2010) 7 pages.

  • Rognes, John; Sagave, Steffen & Schlichtkrull, Christian (2018). Logarithmic topological Hochschild homology of topological K-theory spectra. Journal of the European Mathematical Society (Print).  ISSN 1435-9855.  20(2), s 489- 527 . doi: 10.4171/JEMS/772 Full text in Research Archive.
  • Lück, Wolfgang; Reich, Holger; Rognes, John & Varisco, Marco (2017). Algebraic K-theory of group rings and the cyclotomic trace map. Advances in Mathematics.  ISSN 0001-8708.  304, s 930- 1020 . doi: 10.1016/j.aim.2016.09.004 Full text in Research Archive.
  • Lück, Wolfgang; Reich, Holger; Rognes, John & Varisco, Marco (2017). Assembly maps for topological cyclic homology of group algebras. Journal für die Reine und Angewandte Mathematik.  ISSN 0075-4102. . doi: 10.1515/crelle-2017-0023 Full text in Research Archive.
  • Fjellbo, Rune Vegard Skullerud & Rognes, John (2015). Kan subdivision and products of simplicial sets. Transactions of the American Mathematical Society.  ISSN 0002-9947.  367(12), s 8911- 8931 . doi: 10.1090/S0002-9947-2014-06500-8 Full text in Research Archive.
  • Rognes, John; Sagave, Steffen & Schlichtkrull, Christian (2015). Localization sequences for logarithmic topological Hochschild homology. Mathematische Annalen.  ISSN 0025-5831.  363(3-4), s 1349- 1398 . doi: 10.1007/s00208-015-1202-3 Full text in Research Archive.
  • Bökstedt, Marcel; Bruner, Robert Ray; Lunøe-Nielsen, Sverre A & Rognes, John (2014). On cyclic fixed points of spectra. Mathematische Zeitschrift.  ISSN 0025-5874.  276(1-2), s 81- 91 . doi: 10.1007/s00209-013-1187-0
  • Rognes, John (2014). Algebraic K-theory of strict ring spectra, In Sun Young Jang; Young Rock Kim; Dae-Woong Lee & Ikkwon Yie (ed.),  Proceedings of the International Congress of Mathematicians - Seoul 2014.  KyungMoonSa.  ISBN 978-89-6105-803-2.  Volume II.  s 1259 - 1283
  • Baas, Nils Andreas; Dundas, Bjørn Ian; Richter, Birgit & Rognes, John (2013). Ring completion of rig categories. Journal für die Reine und Angewandte Mathematik.  ISSN 0075-4102.  674, s 43- 80 . doi: 10.1515/crelle.2012.024
  • Ausoni, Christian & Rognes, John (2012). Algebraic K -theory of the first Morava K -theory. Journal of the European Mathematical Society (Print).  ISSN 1435-9855.  14(4), s 1041- 1079 . doi: 10.4171/JEMS/326
  • Rognes, John & Ausoni, Christian (2012). Rational algebraic K -theory of topological K -theory. Geometry and Topology.  ISSN 1465-3060.  16(4), s 2037- 2065 . doi: 10.2140/gt.2012.16.2037
  • Rognes, John & Lunøe-Nielsen, Sverre A (2012). The topological Singer construction. Documenta Mathematica.  ISSN 1431-0643.  17, s 861- 909
  • Baas, Nils Andreas; Dundas, Bjørn Ian; Richter, Birgit & Rognes, John (2011). Stable bundles over rig categories. Journal of Topology.  ISSN 1754-8416.  4(3), s 623- 640 . doi: 10.1112/jtopol/jtr016
  • Lunøe-Nielsen, Sverre A & Rognes, John (2011). The Segal conjecture for topological Hochschild homology of complex cobordism. Journal of Topology.  ISSN 1754-8416.  4(3), s 591- 622 . doi: 10.1112/jtopol/jtr015
  • Bergsaker, Håkon Schad & Rognes, John (2010). Homology operations in the topological cyclic homology of a point. Geometry and Topology.  ISSN 1465-3060.  14(2), s 755- 772 . doi: 10.2140/gt.2010.14.755
  • Rognes, John (2009). Topological logarithmic structures. Geometry and Topology Monographs.  ISSN 1464-8989.  s 401- 544 . doi: 10.2140/gtm.2009.16.401 Full text in Research Archive.
  • Rognes, John (2008). Galois extensions of structured ring spectra. Memoirs of the American Mathematical Society.  ISSN 0065-9266.  192(898), s 1- 98
  • Rognes, John (2008). Stably dualizable groups. Memoirs of the American Mathematical Society.  ISSN 0065-9266.  192(898), s 99- 137
  • Rognes, John & Ausoni, Christian (2008). The chromatic red-shift in algebraic K-theory. L'Enseignement mathématique.  ISSN 0013-8584.  54, s 9- 11
  • Rognes, John; Dundas, Bjørn Ian & Ausoni, Christian (2008). Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere. Documenta Mathematica.  ISSN 1431-0643.  13, s 795- 801
  • Angeltveit, Vigleik & Rognes, John (2005). Hopf algebra structure on topological Hochschild homology. Algebraic and Geometric Topology.  ISSN 1472-2747.  5, s 1223- 1290 . doi: 10.2140/agt.2005.5.1223
  • Bruner, Robert R. & Rognes, John (2005). Differentials in the homological homotopy fixed point spectral sequence. Algebraic and Geometric Topology.  ISSN 1472-2747.  5, s 653- 690 . doi: 10.2140/agt.2005.5.653
  • Rognes, John (2003). Vidunderlige nye ringer. Skrifter.  ISSN 0368-6310.  (1), s 1- 16 Full text in Research Archive.
  • Rognes, John (2003). The smooth Whitehead spectrum of a point at odd regular primes. Geometry and Topology.  ISSN 1465-3060.  7, s 155- 184 Full text in Research Archive.
  • Ausoni, Christian & Rognes, John (2002). Algebraic K-theory of topological K-theory. Acta Mathematica.  ISSN 0001-5962.  188, s 1- 39
  • Kustermans, J.; Rognes, John & Tuset, Lars (2002). The Connes-Moscovici approach to cyclic cohomology for compact quantum groups. K-theory.  ISSN 0920-3036.  26, s 101- 137
  • Rognes, John (2002). A chain rule in the calculus of homotopy functors. Geometry and Topology.  ISSN 1465-3060.  6, s 853- 887
  • Rognes, John (2002). Two-primary algebraic K-theory of pointed spaces. Topology.  ISSN 0040-9383.  41, s 873- 926
  • Rognes, John & Klein, John (2002). A chain rule in the calculus of homotopy functors. Geometry and Topology.  ISSN 1465-3060.  6, s 853- 888 Full text in Research Archive.
  • Rognes, John (2001). Algebraisk K-teori og topologi, sluttrapport, I:  Årsrapport 2000.  Norges Forskningsråd, Oslo.
  • Rognes, John (2001). Two-primary algebraic K-theory of pointed spaces. Topology.  ISSN 0040-9383.  (1)
  • Rognes, John (2000). K_4(Z) is the trivial group. Topology.  ISSN 0040-9383.  39, s 267- 281
  • Rognes, John & Weibel, C (2000). Two-primary algebraic K-theory of rings of integers in number fields. Journal of The American Mathematical Society.  ISSN 0894-0347.  13(1), s 1- 54 Full text in Research Archive.
  • Rognes, John & Østvær, Paul Arne (2000). Two-primary algebraic K-theory of two-regular number fields. Mathematische Zeitschrift.  ISSN 0025-5874.  223, s 251- 263
  • Rognes, John (1999). Algebraic K-theory of the two-adic integers. Journal of Pure and Applied Algebra.  ISSN 0022-4049.  134(3), s 287- 326
  • Rognes, John (1999). The product on the topological Hochschild homology of the integers with mod 4 coefficients. Journal of Pure and Applied Algebra.  ISSN 0022-4049.  134, s 211- 218
  • Rognes, John (1999). Topological cyclic homology of the integers at two. Journal of Pure and Applied Algebra.  ISSN 0022-4049.  134(3), s 219- 286
  • Rognes, John (1999). Two-primary algebraic K-theory of spaces, and related spaces of symmetries of manifolds. Proceedings of Symposia in Pure Mathematics.  ISSN 0082-0717.  67, s 213- 229 Full text in Research Archive.
  • Rognes, John & Weibel, C (1999). Etale descent for two-primary algebraic K-theory of totally imaginary number fields. K-theory.  ISSN 0920-3036.  16, s 101- 104

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  • Rognes, John; Jahren, Bjørn & Waldhausen, Friedhelm (2013). Spaces of PL Manifolds and Categories of Simple Maps. Princeton University Press.  ISBN 978-0-691-15775-7.  192 s.
  • Rognes, John (2004). Topology, Geometry and Quantum Field Theory. Cambridge University Press.  590 s.

View all works in Cristin

  • Rognes, John (2016). Spaces of Manifolds.
  • Rognes, John (2014). Algebraic K-theory of group rings and topological cyclic homology.
  • Rognes, John (2014). Algebraic K-theory of strict ring spectra.
  • Rognes, John (2014). Chromatic redshift.
  • Rognes, John (2013). Kan subdivision and products of simplicial sets.
  • Rognes, John (2007). Topological logarithmic structures.
  • Jahren, Bjørn; Rognes, John & Waldhausen, Friedhelm (2006). Spaces of PL manifolds and categories of simple maps.
  • Rognes, John (2006). Arithmetic of the sphere spectrum.
  • Rognes, John (2006). Arithmetic properties of some brave new rings.
  • Rognes, John (2006). Arithmetic properties of some brave new rings.
  • Rognes, John (2006). K-theory of the fraction field of K-theory.
  • Rognes, John (2006). Mahowald's infinite family.
  • Rognes, John (2006). The stable parametrized h-cobordism theorem.
  • Rognes, John (2005). Algebraic K-theory of the fraction field of topological K-theory.
  • Rognes, John (2005). Modern Foundations for Stable Homotopy Theory: Introduction by the Organisers.
  • Rognes, John (2005). Motivic truncation and arithmetic duality for some structured ring spectra.
  • Rognes, John (2005). Smooth symmetries of manifolds and arithmetic of the sphere spectrum.
  • Rognes, John (2005). Smooth symmetries of manifolds and arithmetic of the sphere spectrum.
  • Rognes, John & Schwede, Stefan (2005). Modern foundations for stable homotopy theory. Oberwolfach Reports.  ISSN 1660-8933.  2, s 2571- 2580
  • Rognes, John (2004). A homological approach to topological cyclic theory.
  • Rognes, John (2004). A homological approach to topological cyclic theory.
  • Rognes, John (2004). Om Atiyah-Singer Indeks-teoremet.
  • Rognes, John (2004). Two-vector bundles and forms of elliptic cohomology, In  Topology, Geometry and Quantum Field Theory.  Cambridge University Press.  Artikkel.  s 18 - 45
  • Rognes, John (2004). Waldhausen's stable parametrized h-cobordism theorem.
  • Rognes, John (2003). Galois theory of commutative S-algebras.
  • Rognes, John (2003). Jean-Pierre Serre: Algebraic topology.
  • Rognes, John (2003). Stably dualizable groups.
  • Rognes, John (2002). Algebraic K-theory of topological K-theory.
  • Rognes, John (2002). Galois descent for the K-theory of commutative S-algebras.
  • Rognes, John (2002). Galois extensions of ``brave new rings''.
  • Rognes, John (2002). Riemann-hypotesen.
  • Rognes, John (2002). Two-vector bundles and elliptic objects.
  • Rognes, John (2002). Two-vector bundles and elliptic objects.
  • Rognes, John (2002). Vidunderlige nye ringer.
  • Rognes, John (2002). Waldhausen's stable parametrized h-cobordism theorem.
  • Baas, Nils; Dundas, Bjørn Ian & Rognes, John (2001). Elliptic cohomology and algebraic K-theory of 2-vector spaces.
  • Rognes, John (2001). Elliptic cohomology and algebraic K-teory of 2-vector spaces.
  • Rognes, John (2001). Elliptic cohomology and algebraic K-theory of 2-vector spaces.
  • Rognes, John (2001). Elliptisk kohomologi.
  • Rognes, John (2001). Galois theory of commutative S-algebras.
  • Rognes, John (2001). The smooth Whitehead spectrum of a point at odd regular primes.
  • Rognes, John (2001). The smooth Whitehead spectrum of a point at odd regular primes.
  • Rognes, John (2001). The smooth Whitehead spectrum of a point at odd regular primes.
  • Rognes, John (2001). Topologiske modulære former.
  • Rognes, John (2001). Two-primary algebraic K-theory of pointed spaces.
  • Rognes, John (2000). Algebraic K-theory of finitely presented spectra.
  • Rognes, John (2000). Algebraic K-theory of topological K-theory.
  • Rognes, John (2000). Algebraic K-theory of topological K-theory.
  • Rognes, John (2000). Galois extensions of S-algebras.
  • Rognes, John (2000). Galois-utvidelser av S-algebraer.
  • Rognes, John (2000). Ren og skjær matematikk.
  • Rognes, John (2000, 01. mai). Smultringsspiraler. [Radio].  Oslo : Verksmester Knut Natvik, Kunsthøgskolen i Oslo. Show summary
  • Rognes, John (2000). Vidunderlige nye ringer. Apollon : Forskningsmagasin for Universitetet i Oslo.  ISSN 0803-6926.  (3-4), s 29- 31
  • Rognes, John (1999). Algebraic K-theory of topological K-theory.
  • Rognes, John (1999). On the image of Milnor's K_4 in Quillen's K_4.
  • Rognes, John (1999). Two-primary algebraic K-theory of pointed spaces.
  • Rognes, John (1999). Two-primary algebraic K-theory of pointed spaces.
  • Rognes, John (1999). Two-primary algebraic K-theory of pointed spaces.
  • Rognes, John (1999). Two-primary algebraic K-theory of pointed spaces.
  • Østvær, Paul Arne & Rognes, John (1999). Two-primary algebraic K-theory of two-regular number fields. Preprint series (Universitetet i Oslo. Matematisk institutt). 4.

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Published Nov. 30, 2010 11:20 PM - Last modified Dec. 14, 2017 9:37 AM