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Bjørn Ian Dundas's picture

Bjørn Ian Dundas

Professor
Department of Mathematics
Home Page
  • E-mailbjorn.dundas@uib.no
  • Phone+47 55 58 28 27
  • Visitor Address
    Allégaten 41
    Realfagbygget
    5007 Bergen
  • Postal Address
    Postboks 7803
    5020 Bergen
Textbook
  • Show author(s) (2018). A short course in differential topology. Cambridge University Press.
Academic article
  • Show author(s) (2018). Towards an understanding of ramified extensions of structured ring spectra. Mathematical proceedings of the Cambridge Philosophical Society (Print). 435-454.
  • Show author(s) (2018). On higher topological Hochschild homology of rings of integers. Mathematical Research Letters. 489-507.
  • Show author(s) (2018). Cubical and cosimplicial descent. Journal of the London Mathematical Society. 439-460.
  • Show author(s) (2017). Higher Hochschild homology is not a stable invariant. Mathematische Zeitschrift. 145-154.
  • Show author(s) (2017). Finite generation and continuity of topological Hochschild and cyclic homology. Annales Scientifiques de l'Ecole Normale Supérieure. 201-208.
  • Show author(s) (2013). Ring completion of rig categories. Journal für die Reine und Angewandte Mathematik. 43-80.
  • Show author(s) (2013). Integral excision for K-theory. Homology, Homotopy and Applications. 1-25.
  • Show author(s) (2011). Stable bundles over rig categories. Journal of Topology. 623-640.
  • Show author(s) (2011). Higher topological cyclic homology and the Segal conjecture for tori. Advances in Mathematics. 1823-1874.
  • Show author(s) (2010). Covering homology. Advances in Mathematics. 3166-3213.
  • Show author(s) (2008). Excision for K-theory of connective ring spectra. Homology, Homotopy and Applications. 29-39.
  • Show author(s) (2008). Divisibility of the Dirac Magnetic Monopole as a Two-Vector Bundle over the Three-Sphere. Documenta Mathematica. 795-801.
  • Show author(s) (2004). Two-Vectorbundles and Forms of Elliptic Cohomology. Cambridge University Press. 18-45.
  • Show author(s) (2004). The cyclotomic trace for S-algebras. Journal of the London Mathematical Society. 659-677.
  • Show author(s) (2003). Motivic functors. Documenta Mathematica. 489-525.
  • Show author(s) (2003). Enriched functors and stable homotopy theory. Documenta Mathematica. 409-488.
  • Show author(s) (2001). Localization of V-categories. Theory and Applications of Categories. 284-312.
  • Show author(s) (2000). The cyclotomic trace for symmetric monoidal categories. Contemporary Mathematics. 121-143.
  • Show author(s) (2000). The Cyclotomic trace for symmetric monoidal categories. Contemporary Mathematics. 121-144.
  • Show author(s) (1999). K-theory of simplicial rings and degreewise constructions. K-theory. 77-92.
  • Show author(s) (1999). Degreewise K-theory. K-theory. 77-92.
  • Show author(s) (1998). K-theory theorems in topological cyclic homology. Journal of Pure and Applied Algebra. 23-33.
  • Show author(s) (1998). K-theory theorems in topological cyclic homology. Journal of Pure and Applied Algebra. 23-33.
  • Show author(s) (1998). Continuity of K-theory: an example in equal characteristics. Proceedings of the American Mathematical Society. 1287-1291.
  • Show author(s) (1998). Continuity of K-theory : an example in equal characteristics. Proceedings of the American Mathematical Society. 1287-1291.
  • Show author(s) (1997). Relative K-theory and topological cyclic homology. Acta Mathematica. 223-242.
  • Show author(s) (1997). Relative K-theory and topological cyclic homology. Acta Mathematica. 223-242.
  • Show author(s) (1996). Topological Hochschild homology of ring functors and exact categories. Journal of Pure and Applied Algebra. 231-294.
  • Show author(s) (1996). Topological Hochschild homology of ring functors and exact categories. Journal of Pure and Applied Algebra. 231-294.
  • Show author(s) (1994). Stable K-theory and topological Hochschild homology. Annals of the Institute of Statistical Mathematics. 685-701.
  • Show author(s) (1994). Stable K-theory and topological Hochschild homology. Annals of Mathematics. 685-701.
  • Show author(s) (1993). Fibrations and homology sphere bordism. Mathematica Scandinavica. 20-28.
  • Show author(s) (1993). Fibrations and homology sphere bordism. Mathematica Scandinavica. 20-28.
Report
  • Show author(s) (2006). Higher topological cyclic homology. .
  • Show author(s) (2003). Two-vector bundles and forms of elliptic cohomology. .
Lecture
  • Show author(s) (2022). Algebraic K-theory through trace methods.
  • Show author(s) (2020). Motivic Hochschild homology.
  • Show author(s) (2015). Abelprisen til Nash og Nirenberg.
Popular scientific lecture
  • Show author(s) (2016). What does it mean that two things are equal?
  • Show author(s) (2012). Topologi: matematikkens romforskning.
  • Show author(s) (2011). Until this paper by Milnor it was thought that. .
  • Show author(s) (2008). Hvilken fasong har universet?
  • Show author(s) (2007). Sfærespekteret.
  • Show author(s) (2007). Kalkulus.
  • Show author(s) (2006). Sfaerespekteret.
Academic lecture
  • Show author(s) (2022). Motivic Hochschild homology of prime fields.
  • Show author(s) (2022). How relevant are spectra?
  • Show author(s) (2021). Applications of topological cyclic homology in algebraic K-theory.
  • Show author(s) (2020). Motivic Hochschild homology.
  • Show author(s) (2018). The geometric diagonal.
  • Show author(s) (2018). The Pullback square.
  • Show author(s) (2018). Motivic Hochshild homology.
  • Show author(s) (2018). Continuity of homology and K-theory.
  • Show author(s) (2017). Shapes of Spaces I-IV and the sphere spectrum.
  • Show author(s) (2017). Higher Hochschild homology is not a stable invariant.
  • Show author(s) (2017). Cyclic products.
  • Show author(s) (2016). The trace map.
  • Show author(s) (2016). Some calculations of iterated Hochschild homology.
  • Show author(s) (2016). A calculation of $T^n\otimes H\mathbb F_p$.
  • Show author(s) (2015). Sommerskole, bl.a. foredraget "Rognes' redshift conjecture".
  • Show author(s) (2015). Ind Spaces.
  • Show author(s) (2015). Detecting Periodic Classes.
  • Show author(s) (2015). Being lucky in the category of commutative ring spectra.
  • Show author(s) (2014). Redshift.
  • Show author(s) (2014). Higher topological Hochschild homology.
  • Show author(s) (2014). Continuity of THH.
  • Show author(s) (2013). Continuity of (topological) Hochschild and cyclic homology (j/w Matthew Morrow).
  • Show author(s) (2012). Higher topological Hochschild homology.
  • Show author(s) (2012). Equivariant commutative ring spectra.
  • Show author(s) (2012). Algebraic K-theory.
  • Show author(s) (2011). Two-vector bundles, and the splitting of the Dirac Monopole.
  • Show author(s) (2011). The cyclotomic trace and operad actions.
  • Show author(s) (2011). Smash powers of ring spectra.
  • Show author(s) (2011). Smash powers of commutative ring spectra.
  • Show author(s) (2011). Integral excision in algebraic K-theory.
  • Show author(s) (2011). A survey of trace methods in algebraic K-theory.
  • Show author(s) (2010). Two vector bundles and the splitting of the Dirac monopole over the three sphere.
  • Show author(s) (2010). Redshift and equivariance.
  • Show author(s) (2008). Witt Rings.
  • Show author(s) (2008). Two-vector bundles I & II.
  • Show author(s) (2008). Recent progress on two vector bundles.
  • Show author(s) (2008). Mini-cours: 2-vector bundles.
  • Show author(s) (2008). Higher Topological Cyclic Homology.
  • Show author(s) (2006). Virtual 2-vector bundles defines an "elliptic cohomology theory".
  • Show author(s) (2006). Excision in K-theory.
  • Show author(s) (2006). Excision in K-theory.
Short communication
  • Show author(s) (2021). Interview with abel laureate 2020 gregory margulis. Notices of the American Mathematical Society. 992-997.
Academic anthology/Conference proceedings
  • Show author(s) (2007). Motivic homotopy theory: Lectures at a summer school in Nordfjordeid, Norway, August 2002. Springer.
Non-fiction book
  • Show author(s) (2013). The local structure of algebraic K-theory. Springer.
  • Show author(s) (2003). Gummistrikkgeometri - fra matematikkens magiske skattekiste. Midtnordisk Vitensenter.
Interview
  • Show author(s) (2021). Video: Interview with Abel Laureates Laszlo Lovasz and Avi Wigderson.
  • Show author(s) (2018). Abelprisen 2018, Intervju med Robert Langlands.
  • Show author(s) (2017). Abelprisen 2017- intervju med prisvinner.
  • Show author(s) (2016). Forskergruppe får prestisjeopphold.
Programme participation
  • Show author(s) (2011). Abels tårn og om Leonard Euler.
Academic chapter/article/Conference paper
  • Show author(s) (2020). Cyclic homology in a special world. 29 pages.
  • Show author(s) (2007). Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory. 67 pages.
Errata
  • Show author(s) (2022). Erratum: Towards an understanding of ramified extensions of structured ring spectra (Mathematical Proceedings of the Cambridge Philosophical Society DOI: 10.1017/S0305004118000099). Mathematical proceedings of the Cambridge Philosophical Society (Print). 247-248.
Multimedia product
  • Show author(s) (2016). A calculation of $T^n\otimes HF_p$.
Interview Journal
  • Show author(s) (2022). Interview with Abel laureate 2022 Dennis Sullivan. European Mathematical Society Magazine.
  • Show author(s) (2022). Abel Interview 2021: László Lovasz and Avi Wigderson. Notices of the American Mathematical Society. 828-843.
  • Show author(s) (2021). Interview with Abel Laureate Hillel Furstenberg. Notices of the American Mathematical Society. 992-997.
  • Show author(s) (2020). Interview with Abel Laureate Karen Uhlenbeck. Notices of the American Mathematical Society.
  • Show author(s) (2019). Interview with Abel Laureate Robert P. Langlands. Notices of the American Mathematical Society. 494-503.
  • Show author(s) (2018). Interview with Abel Laureate Yves Meyer . Notices of the American Mathematical Society. 520-529.
  • Show author(s) (2018). Interview with Abel Laureate Robert P. Langlands. EMS Newsletter. 19-27.
  • Show author(s) (2017). Interview with Abel Laureate Yves Meyer. EMS Newsletter. 14-22.

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