Papers
-
The transcendence degree of the mod p
cohomology of finite Postnikov systems .
in "Stable and unstable homotopy", Fields Inst. Commun. (19), 1998, 111–130.
-
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.
- Higher limits via
subgroup complexes. Annals of Math.
155 (2002) no. 2, 405–457. (arXiv:math.AT/0002045)
- (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)
- (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)
- (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)
- (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)
- (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)
- (with K. Andersen) Automorphisms of p-compact groups and
their root data. Geometry & Topology 12
(2008), 1427–1460. (arXiv:math.AT/0510179)
- (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)
- (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)
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).
(with D. Benson and E. Henke) Variety isomorphism in group cohomology
and control of p-fusion. Preprint 13 pages. arXiv:1210.1564.
In preparation
- The Burnside ring of the p-completed classifying space of a finite group.
- (with J. H. Smith) Classification of homotopy G-actions on
spheres. (Here's a related Oberwolfach report.)
- (with B. Oliver) Fundamental groups of p-local finite groups. (Here's a
related Oberwolfach report.)
- (with K. Andersen) The isogeny theorem for p-compact groups.
- (with W. G. Dwyer) Homotopical p-symmetry.
Here is my vita.
My work is reviewed on MathSciNet. My preprints are on the ArXiv.
Misc. older things
Various work I did while a Cand. Scient. student in Copenhagen.