William G. Dwyer
Department of Mathematics
University of Notre Dame
Notre Dame, IN 46556
Phone: (574) 6316438
Department Office: (574) 6317083 or 6317245
Fax: (574) 6316579
Email:
dwyer.1@nd.edu
Publications and preprints
With some of the papers it is possible to
access an electronic version by clicking on the name of the paper; for others it works to click on the dvi or pdf tag to the left of the title. The MathSciNet links will work if you have
access to
MathSciNet.

52:15464
pdf
Strong convergence of the EilenbergMoore spectral sequence
Topology
(13),
1974,
255265.

52:4290
pdf
Exotic convergence of the EilenbergMoore spectral sequence,
Illinois J. Math.
(19),
1975,
607617.

51:10442
pdf
Vanishing homology over nilpotent groups,
Proc. Amer. Math.
Soc.
(49),
1975,
812.

52:6710
pdf
Homology, Massey products, and maps between groups,
J. Pure
and Applied Algebra
(6),
1975,
177190.

53:11604
pdf
(with E. Dror)
Prenilpotent spaces,
Amer. J. Math.
(98),
1976,
405413.

55:11246
pdf
(with E. Dror and D. M. Kan)
An arithmetic square for virtually
nilpotent spaces ,
Illinois J. Math.
(21),
1977,
242254.

57:1484
pdf
(with E. Dror)
A stable range for homology localization,
Illinois
J. Math
(21),
1977,
675684.

56:16620
pdf
(with E. Dror)
A long homology localization tower,
Comment. Math.
Helvet.
(52),
1977,
186210.

58:22333
pdf
Homological localization of Pimodules,
J. Pure and
Applied Algebra
(10),
1977,
135151.

58:18452
pdf
(with E. Dror)
A Whitehead theorem for long towers of spaces,
Israel J. Math.
(29),
1978,
141154.

80j:55010
The tame homotopy groups of a suspension,
Proceedings of the
1977 Northwestern University Homotopy Theory Conference,
Geometric Applications of Homotopy Theory,
Lecture Notes in Math. 658,
1978,
165168.

80j:57028
(with R. H. Szczarba)
On the homotopy type of diffeomorphism
groups,
C. R. Acad. des Sciences, Paris
(29),
1979,
417419.

81a:55020
pdf
Tame homotopy theory,
Topology
(18),
1979,
321338.

80f:55010
pdf
(with E. Dror and D. M. Kan)
Self homotopy equivalences of
Postnikov conjugates,
Proc. Amer. Math. Soc.
(74),
1979,
183186.

81b:18006
pdf
Twisted homological stability for general linear groups,
Annals of Math.
(111),
1980,
239251.

83d:18015
pdf
(with W.C. Hsiang and R. Staffeldt)
Pseudoisotopy and
invariant theory I,
Topology
(19),
1980,
367385.

83d:18016
(with W.C. Hsiang and R. Staffeldt)
Pseudoisotopy and
invariant theory II: Rational algebraic Ktheory of a space with
finite fundamental group,
Topology Symposium, Siegen 1979. Proceedings,
Lecture Notes in Math. 788,
1980,
418440.

81f:55022
pdf
Higher divided squares in secondquadrant spectral
sequences,
Trans. Amer. Math. Soc.
(260),
1980,
437447.

81e:55027
pdf
Homotopy operations for simplicial commutative algebras,
Trans. Amer. Math. Soc.
(260),
1980,
421435.

81h:55018
pdf
(with D. M. Kan)
Simplicial localization of categories,
J. Pure and Applied Algebra
(17),
1980,
267284.

81h:55019
pdf
(with D. M. Kan)
Calculating simplicial localizations,
J. Pure and Applied Algebra
(18),
1980,
1735.

81h:55012
pdf
(with E. Dror and D. M. Kan)
Automorphisms of fibrations,
Proc. Amer. Math. Soc.
(80),
1980,
491494.

81m:55018
pdf
(with D. M. Kan)
Function complexes in homotopical algebra,
Topology
(19),
1980,
427440.

82a:55009
pdf
(with E. Dror and D. M. Kan)
Equivariant maps which are self homotopy equivalences,
Proc. Amer. Math. Soc.
(80),
1980,
670672.

84h:55005
pdf
(with E. Dror and D. M. Kan)
Self homotopy equivalences of virtually nilpotent spaces,
Comment. Math. Helv.
(56),
1981,
599614.

83b:12012
pdf
(with E. M. Friedlander)
Etale Ktheory and arithmetic,
Bull. Amer. Math. Soc.
(6),
1982,
453455.

84i:14015
pdf
(with E. M. Friedlander, V. Snaith and R. Thomason)
Algebraic Ktheory
eventually surjects onto topological Ktheory,
Invent. Math.
(66),
1982,
481491.

85h:57038
pdf
(with R. H. Szczarba)
On the homotopy type of diffeomorphism groups,
Ill. J. Math.
(27),
1983,
578596.

85k:57026
pdf
(with D. B. Ellis and R. H. Szczarba)
Foliations with nonorientable leaves,
Proc. Amer. Math. Soc.
(89),
1983,
733737.

85e:55038
pdf
(with D. M. Kan)
Function complexes for diagrams of simplicial sets,
Indag. Math.
(45),
1983,
139147.

86c:55010d
pdf
(with D. M. Kan)
Singular functors and realization functors,
Indag. Math.
(46),
1984,
147153.

86e:55016
pdf
(with D. M. Kan)
Homotopy theory and simplicial groupoids,
Indag. Math.
(46),
1984,
379385.

86c:55010c
pdf
(with D. M. Kan)
An obstruction theory for diagrams of simplicial sets,
Indag. Math.
(46),
1984,
139146.

86j:18009
(with E. M. Friedlander)
Etale Ktheory of Azumaya algebras,
J. Pure and Applied Algebra
(34),
1984,
179191.

86c:55010b
(with D. M. Kan)
Realizing diagrams in the homotopy category
by means of diagrams of simplicial sets,
Proc. Amer. Math. Soc.
(91),
1984,
456460.

86c:55010a
(with D. M. Kan)
A classification theorem for diagrams of simplicial sets,
Topology
(23),
1984,
139155.

87i:55037
Homology of integral uppertriangular matrices,
Proc. Amer. Math. Soc.
(94),
1985,
523528.

86h:55008
(with D. M. Kan)
Equivariant homotopy classification,
J. Pure and Applied Algebra
(35),
1985,
269285.

87h:55010
(with D. M. Kan)
Reducing equivariant homotopy theory to the theory of fibrations,
Contemporary Mathematics Volume 37,
American Math. Soc.,
1985,
3549.

87h:18013
(with E. M. Friedlander)
Algebraic and étale Ktheory,
Trans. Amer. Math. Soc.
(272),
1985,
247280.

88d:18009
(with D. M. Kan)
Normalizing the cyclic modules of Connes,
Comment. Math. Helvet.
(60),
1985,
582600.

86m:55014
(with M. J. Hopkins and D. M. Kan)
The homotopy theory of cyclic sets,
Trans. Amer. Math. Soc.
(291),
1985,
281289.

88f:18013
pdf
(with E. M. Friedlander)
Conjectural calculations of general linear group homology,
Applications of Algebraic Ktheory to Algebraic Geometry and
Number Theory,
Contemporary Mathematics Volume 55, Part I,
Amer. Math. Soc.,
1986,
135147.

88a:18016
(with E. M. Friedlander)
Some remarks on the Ktheory of fields,
Applications of Algebraic Ktheory to Algebraic Geometry and
Number Theory,
Contemporary Mathematics Volume 55, Part I
1986,
Amer. Math. Soc.,
149157.

89d:55051
(with D. M. Kan)
Equivalences between homotopy theories of diagrams,
Algebraic Topology and Algebraic Ktheory,
Princeton University Press,
1987,
180204.

88g:55011
(with D. Fried)
Homology of free abelian covers. I.,
Bull. London Math. Soc.
(19),
1987,
350352.

88f:18022
(with D. M. Kan)
Three homotopy theories for cyclic modules,
J. Pure and Applied Algebra
(44),
1987,
165175.

89e:55018
(with G. Mislin)
On the homotopy type of the components of Map(BS(3),BS(3)),
Algebraic Topology, Barcelona 1986,
Lecture Notes in Math 1298,
1987,
8289.

89e:55019
(with H. R. Miller, and C. Wilkerson)
The homotopic uniqueness of BS(3),
Algebraic Topology, Barcelona 1986,
Lecture Notes in Math. 1298,
1987,
90105.

89b:55018
pdf
(with A. Zabrodsky)
Maps between classifying spaces,
Algebraic Topology, Barcelona 1986,
Lecture Notes in Math. 1298,
1987,
106119.

89g:55005
(with C. Wilkerson)
Smith theory revisited,
Annals of Math.
(127),
1988,
191198.

89i:55011
(with C. Wilkerson)
Maps of BZ/p to BG,
Algebraic Topology/Rational Homotopy,
Lecture Notes in Math. 1318,
1988,
9298.

90g:18011
pdf
(with D. M. Kan)
HochschildMitchell cohomology of simplicial categories and the
cohomology of simplicial diagrams of simplicial sets,
Proc. Koninklijke Nederlandse Akademie van Wetenschappen
(91),
1988,
111120.

89k:55009
(with D. M. Kan and J. H. Smith)
Towers of fibrations and homotopical wreath products,
J. Pure and Applied Algebra
(56),
1989,
928.

90d:18007
(with D. M. Kan and J. H. Smith)
Homotopy commutative diagrams and their realizations,
J. Pure and Applied Algebra
(57),
1989,
524.

90d:55034
(with D. M. Kan)
Homology with simplicial coefficients,
Algebraic Topology, Proceedings, Arcata 1986,
Lecture Notes in Math. 1370,
1989,
143149.

90h:55032
Rnilpotency in homotopy equivalences,
Israel J. Math.
(66),
1989,
154159.

90k:55012
(with A. Adem and R. L. Cohen)
Generalized Tate homology, homotopy fixed points and the transfer,
Algebraic Topology, Proceedings of the International Conference held
March 2124, 1988,
Contemporary Math. vol. 96,
Amer. Math. Soc.,
1989,
113.

90i:55034
(with H. Miller and J. Neisendorfer)
Fibrewise completion and unstable Adams spectral sequences,
Israel J. Math.
(66),
1989,
160178.

91j:55015
(with D. M. Kan)
The enveloping ring of a Pialgebra,
Advances in Homotopy Theory,
London Math. Soc. Lecture Note Series 139,
Cambridge University Press,
1989,
4960.

92b:55004
(with C. W. Wilkerson)
Spaces of null homotopic maps,
Proceedings of the 1988 Luminy Conference,
Astérisque
(191),
1990,
97108.

92i:55006
(with C. W. Wilkerson)
Smith theory and the functor T,
Comment. Math. Helvet.
(66),
1991,
117.

92e:55011
(with D. M. Kan)
Centric maps and realization of diagrams in the homotopy category,
Proc. Amer. Math. Soc.
(114),
1992,
575584.

92m:55013
(with H. R. Miller and C. W. Wilkerson)
Homotopical uniqueness of classifying spaces,
Topology
(31),
1992,
2945.

93h:55008
(with C. W. Wilkerson)
A cohomology decomposition theorem,
Topology
(31),
1992,
433443.

93m:19010
(with E. M. Friedlander and S. A. Mitchell)
The generalized Burnside ring and the Ktheory of rings with roots of unity,
Ktheory
(6),
1992,
285300.

93d:55011
(with C. W. Wilkerson)
A new finite loop space at the prime two,
J. Amer. Math. Soc.
(6)
1993,
3763.

94f:20097
(with S. M. Jekel and A. I. Suciu)
Homology isomorphisms between algebraic groups made discrete,
Bull. London Math. Soc.
(25)
1993,
145149.

95c:55027
pdf
(with D. M. Kan and C. R. Stover)
An E2 model category structure for pointed simplicial spaces,
J. Pure and Applied Algebra
(90)
1993,
137152.

95h:19004
(with E. M. Friedlander)
Topological models for arithmetic,
Topology
(33),
1994,
124.

94d:55017
(with D. M. Kan, J. H. Smith and C. R. Stover)
A Pialgebra spectral sequence for function spaces,
Proc. Amer. Math. Soc.
(120),
1994,
615621.

94h:55027
(with D. M. Kan)
Homology and cohomology of Pialgebras,
Trans. Amer. Math. Soc.
(342),
1994,
257273.

95e:55019
(with C. W. Wilkerson)
Homotopy fixed point methods for Lie groups and finite loop spaces,
Annals of Math.
(139),
1994,
395442.

96a:55024
(with C. W. Wilkerson)
The center of a pcompact group,
Contemporary Mathematics 181,
Proceedings of the 1993 Cech Conference (Northeastern Univ.),
Amer. Math. Soc.,
1995,
119157.

96h:55014
(with J. Spalinski)
Homotopy theories and model categories,
Handbook of Algebraic Topology,
edited by I.~M.~James,
Elsevier,
1995,
73126.

96h:55005
(with C. W. Wilkerson)
Product splittings of pcompact groups,
Fund. Math.
(147),
1995,
279300.

97b:55024
(with D. M. Kan and C. R. Stover)
The bigraded homotopy groups of a pointed simplicial space X,
J. Pure and Applied Alg.
(103),
1995,
167188.

97i:55028
The centralizer decomposition of BG,
Proceedings 1994 Barcelona Conference,
Progress in Math. vol.~136,
Birkhäuser
1996,
167184.

97a:55020
(with C. W. Wilkerson)
Diagrams up to cohomology,
Trans. Amer. Math. Soc.
(348), 1996, 18631883.

96i:57022
(with S. Stolz and L. R. Taylor)
On the dimension of infinite covers,
Proc. Amer. Math. Soc.
(124), 1996, 22352239

97h:55014
Transfer maps for fibrations,
Math. Proc. Camb. Phil. Soc.
(120), 1996, 221235.

98g:19006
(with S. A. Mitchell)
On the Ktheory spectrum of a smooth curve over a finite
field,
Topology (36), 1997, 899929.

97m:55016
Homology decompositions for classifying spaces of finite groups,
Topology (36), 1997, 783804.

98d:55013
pdf
(with J. M. Møller)
Homotopy fixed points for cyclic pgroup actions,
Proc. Amer. Math. Soc. (125), 1997, 37353739.

2000a:57092
dvi pdf
Exotic cohomology for GL(n,Z[1/2]),
Proc. Amer. Math. Soc., (126), 1998, 21592167.

99b:55033
dvi pdf
Sharp homology decompositions for classifying spaces of finite groups,
Group representations: cohomology, group actions and topology (Seatle, WA,
1996), Amer. Math. Soc., Providence, RI, 1998, 197220.

99i:19003
dvi pdf
(with S. A. Mitchell)
On the Ktheory spectrum of a ring of algebraic integers,
Ktheory (14), 1998, 201263.

99g:22007
dvi pdf
(with C. W. Wilkerson)
The elementary geometric structure of compact Lie groups,
Bull. London Math. Soc. (30), 1998, 337364.

99e:55027
dvi pdf
(with C. W. Wilkerson)
Kähler differentials, the Tfunctor, and a theorem of
Steinberg,
Trans. Amer. Math. Soc. 350 (1998), no. 12, 49194930.

99h:55025
dvi pdf
Lie groups and pcompact groups,
Proceedings of the International Congress of Mathematicians, Vol. II
(Berlin, 1998), 433442.

99i:55016
dvi pdf
(with E. DrorFarjoun and D. Ravenel)
Bousfield localizations of classifying spaces of nilpotent groups,
Proc. Amer.Math. Soc. 127 (1999), no. 6, 18551861.

2000g:55014
dvi pdf
(with A. J. Berrick)
The spaces that define algebraic Ktheory,
Topology 39 (2000), no. 1, 225228.

2002d:55003
dvi pdf
(with G. Arone)
Partition complexes, Tits buildings, and symmetric products,
Proc. London Math. Soc. 82 (2001), 229256.

2001f:55015
dvi pdf
(with J. Palmieri)
Ohkawas theorem: there is a set of Bousfield classes
Proc. Amer. Math. Soc. 129 (2001), 881886.

2002b:22013
dvi pdf
(with. C. Wilkerson)
Centers and Coxeter elements,
Contemporary Mathematics vol. 271, Amer. Math. Soc. 2001, 5375.

2003h:20093
dvi pdf
(with H. W. Henn)
Homotopy theoretic methods in group cohomology,
Advanced Courses in MathematicsCRM Barcelona, Birkhauser Verlar,
Basel, 2001.

2002j:55009
dvi pdf
(with W. Chacholski and M. Intermont)
The Acomplexity of a space,
J. London Math. Soc. 65 (2002) 204222.

2003g:16010
dvi pdf
(with J. P. C. Greenlees)
Complete modules and torsion modules,
Amer. J. Math. 124(2002), 199220.

2004d:19004
dvi pdf
(with M. Weiss and B. Williams)
A parameterized index theorem for the algebraic Ktheory Euler class,
Acta Math 190(2003), no. 1, 1104.

2005e:55032
dvi pdf
(with D. Christensen and D. Isaksen)
Obstruction theory in
model categories, Adv. Math. 181(2004), no. 2, 396416.

2005b:18018
dvi pdf
Localizations,
Axiomatic, Enriched and Motivic Homotopy Theory (J. P. C. Greenlees, ed.),
Kluwer, 2004, Proceedings of the NATO ASI, 328.

2005b:55008
dvi pdf
(with D. Blanc and P. G. Goerss)
The realization space of a PIalgebra: a moduli problem in algebraic topology,
Topology 43(2004), 857892.

2005d:22004
dvi pdf
(with C. W. Wilkerson)
Cartan involutions and normalizers of maximal tori,
Publ. Res. Inst. Math. Sci. 40(2004), no. 2, 295309.

2005k:18027
(with P.S. Hirschhorn, D. M. Kan, and J. H. Smith)
Homotopy limit functors on model categories and homotopical categories,
Mathematical surveys and Monographs, vol. 113, American Mathematical Society, Providence, RI, 2004.

2006f:55015
dvi pdf
(with C. W. Wilkerson)
Normalizers of tori,
Geom. Topol. 9(2005), 13371380 (electronic).

MR2225632
dvi pdf
(with J. P. C. Greenlees and S. Iyengar)
Finiteness in derived categories of local rings,
Comment. Math. Helvet. 81 (2006), no. 2, 383432.

2006k:55017
dvi pdf
(with J. P. C. Greenlees and S. Iyengar)
Duality in algebra and topology,
Adv. Math. 200(2006), no. 2, 357402.

2007g:55010
dvi pdf
Noncommutative localization in homotopy theory,
Noncommutative localization in algebra and topology,
London Math. Soc. Lecture Note Ser., vol. 330, Cambridge Univ. Press, Cambridge, 2006, pp. 2439.

2007f:55010
dvi pdf
(with W. Chacholski and M. Intermont)
v*torsion spaces and thick classes,
Math. Ann. 336 (2006), no. 1, 1326.

MR2355776
dvi pdf
Local cohomology in commutative algebra, homotopy theory, and group cohomology,
Interations between homotopy theory and algebra, Contemp. Math. vol. 436, Amer. Math. Soc., Providence, RI, 2007, 235238.

2008m:55025
dvi pdf
(with G. Z. Arone and K. Lesh)
Loop structures in Taylor towers,
Algebr. Geom. Topol. 8 (2008), no. 1, 173210.

2009e:18021
(with J. Palmieri)
The Bousfield lattice for truncated polynomial algebras,
Homology, Homotopy Appl. 10 (2008), no. 1, 413436.

2010a:55022
dvi pdf
(with B. Chorny)
Homotopy theory of small diagrams over large categories,
Forum Math. 21 (2009), no. 2, 167179.

MR2506823
dvi pdf
(with C. W. Wilkerson)
The fundamental group of a pcompact group,
Bull. Lond. Math. Soc. 41 (2009), no. 3, 385395.

MR2581908
dvi pdf
(with E. D. Farjoun)
Localization and cellularization of principal fibrations,
Alpine perpspectives on algebraic topology, 117124, Contemp. Math., 504, Amer. Math. Soc., Providence, RI, 2009.

MR2580428
dvi pdf
(with G. Biedermann)
Homotopy nilpotent groups,
Algebr. Geom. Topol. 10 (2010), no. 1, 3361.

MR2661576
dvi pdf
(with C. W. Wilkerson)
Poincare duality and Steinbergs theorem on rings of coinvariants
Proc. Amer. Math. Soc. 138 (2010), no. 10, 37693775.

MR2737327
(with A. RadulescuBanu and S. Thomas)
Faithfulness of a functor of Quillen,
Algebr. Geom. Topol. 10 (2010), no. 1, 525530.

dvi pdf
(with J. P. C. Greenlees and S. B. Iyengar)
GrossHopkins duality and the Gorenstein condition,
preprint (Notre Dame) 2009.

dvi pdf
(with K. Hess)
Long knots and maps between operads,
preprint (Notre Dame) 2010.

dvi pdf
Quillen's work on the Adams conjecture
preprint (Notre Dame) 2011.

dvi pdf
(with J. P. C. Greenlees and S. B. Iyengar)
DG algebras with exterior homology
preprint (Notre Dame) 2012.

pdf
(with G. Arone and K. Lesh)
Bredon homology of partition complexes
preprint (Union College) 2013.

pdf
(with K. Hess)
The BoardmanVogt tensor product of operadic bimodules
preprint (EPFL) 2013.
Notes
These are notes from a oneweek course titled "Homotopy theory and classifying" spaces given at the University of Copenhagen during the summer of 2008. There are two pdf files: beamer slides from the lectures
pdf
and course notes with exercises
pdf.