Papers

  1. The transcendence degree of the mod p cohomology of finite Postnikov systems . in "Stable and unstable homotopy", Fields Inst. Commun. (19), 1998, 111–130.
  2. Serre's theorem and the Nil filtration of Lionel Schwartz. in "Cohomological Methods in Homotopy Theory", Progress in Math 196, Birkhäuser Verlag, 2001, 177–183.
  3. Higher limits via subgroup complexes. Annals of Math. 155 (2002) no. 2, 405–457. (arXiv:math.AT/0002045)
  4. (with K. Andersen, T. Bauer, and E. Pedersen) A finite loop space not rationally equivalent to a compact Lie group. Invent. Math. 157 (2004), 1–10 (DOI: 10.1007/s00222-003-0341-4) (arXiv:math.AT/0306234)
  5. (with C. Broto, N. Castellana, R. Levi, and B. Oliver) Subgroup families controlling p-local finite groups. Proc. London Math. Soc. (3) 91 (2005) no. 2, 325–354. (arXiv:math.AT/0403042)
  6. (with S. D. Smith) Propagating sharp group homology decompositions. Advances in Math. 200 (2006), 525–538 (DOI: 10.1016/j.aim.2005.01.006) (arXiv:math.AT/0402270)
  7. (with C. Broto, N. Castellana, R. Levi, and B. Oliver) Extensions of p-local finite groups. Trans. Amer. Math. Soc. 359 (2007), 3791–3858. (arXiv:math/0502359)
  8. (with K. Andersen, J. Møller, and A. Viruel) The classification of p-compact groups for p odd. Annals of Math. 167 (2008), 95–210. (arXiv:math.AT/0302346)
  9. (with K. Andersen) Automorphisms of p-compact groups and their root data. Geometry & Topology 12 (2008), 1427–1460. (arXiv:math.AT/0510179)
  10. (with K. Andersen) The Steenrod problem of realizing polynomial cohomology rings. J. Topology 1 (2008), 747–760. (DOI: 10.1112/jtopol/jtn021) (arXiv:0704.4002)
  11. (with K. Andersen) The classification of 2-compact groups. J. Amer. Math. Soc. 22 (2009), 387–436. (DOI: 10.1090/S0894-0347-08-00623-1) (arXiv:math.AT/0611437)
  12. The classification of p-compact groups and homotopical group theory. Proc. Intl. Congress of Mathematicians 2010 (Hyderabad, 2010), Volume II, 973–1001. (arXiv:1003.4010)
  13. (with D. Benson and E. Henke) Group cohomology and control of p-fusion. Invent. Math. 197 (2014), 491–507 (DOI: 10.1007/s00222-013-0489-5) (arXiv:1210.1564)
  14. (with J. Carlson, N. Mazza, D. Nakano) Torsion free endotrivial modules for finite groups of Lie type. Pacific J. Math. 317 (2022), 239–274. (arXiv:2005.00\ 507)
  15. Endotrivial modules for finite groups via homotopy theory. J. Amer. Math. Soc. 36 (2023), 177-250. (DOI: 10.1090/jams/994) (arXiv:1608.00499)
  16. (with A. Lahtinen) String topology of finite groups of Lie type. Preprint (This version: March 2020). 58 pages. (arXiv:2003.07852)

Manuscripts and in preparation

  1. The Burnside ring of the p-completed classifying space of a finite group. (First version available upon request.)
  2. (with A. Adem) Homotopical group actions and periodicity. (First version available upon request.)
  3. (with J. H. Smith) Classification of homotopy G-actions on spheres. (Here's a related Oberwolfach report.)
  4. (with B. Oliver) Fundamental groups of p-local finite groups. (Here's a related Oberwolfach report.)
  5. Schur multipliers and the gluing conjecture for finite groups of Lie type, in preparation.
  6. (with G. Robinson) On a characteristic subgroup related to endotrivial modules, in preparation.
  7. (with J. Carlson, N. Mazza, and D. Nakano) Classification of endotrivial modules for finite groups of Lie type, in preparation.
  8. (with T. Barthel and J. Hunt) Endotrivial modules for finite groups via higher algebra, in preparation.

Misc.

  • A Baues fibration category structure on Banach and C*-algebras. Unpublished manuscript, 1997 (with K. Andersen).

  • Smith theory for Sheaves. 2022 Oberwolfach Arbeitsgemeinshaft report on work of David Treumann.

  • Course notes UCPH graduate course "Categories and Topology". (covering simplicial sets, homotopy colimits, localization, and completion)

    • Various work I did while a Cand. Scient. student in Copenhagen.
    Here is my vita.
    My work is reviewed on MathSciNet. My preprints are on the ArXiv.