William G. Dwyer


Department of Mathematics
University of Notre Dame
Notre Dame, IN 46556

Phone:  (574) 631-6438
Department Office: (574) 631-7083 or 631-7245
Fax: (574) 631-6579
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.
  1. 52:15464 pdf Strong convergence of the Eilenberg-Moore spectral sequence Topology (13), 1974, 255-265.
  2. 52:4290 pdf Exotic convergence of the Eilenberg-Moore spectral sequence, Illinois J. Math. (19), 1975, 607-617.
  3. 51:10442 pdf Vanishing homology over nilpotent groups, Proc. Amer. Math. Soc. (49), 1975, 8-12.
  4. 52:6710 pdf Homology, Massey products, and maps between groups, J. Pure and Applied Algebra (6), 1975, 177-190.
  5. 53:11604 pdf (with E. Dror) Pre-nilpotent spaces, Amer. J. Math. (98), 1976, 405-413.
  6. 55:11246 pdf (with E. Dror and D. M. Kan) An arithmetic square for virtually nilpotent spaces , Illinois J. Math. (21), 1977, 242-254.
  7. 57:1484 pdf (with E. Dror) A stable range for homology localization, Illinois J. Math (21), 1977, 675-684.
  8. 56:16620 pdf (with E. Dror) A long homology localization tower, Comment. Math. Helvet. (52), 1977, 186-210.
  9. 58:22333 pdf Homological localization of Pi-modules, J. Pure and Applied Algebra (10), 1977, 135-151.
  10. 58:18452 pdf (with E. Dror) A Whitehead theorem for long towers of spaces, Israel J. Math. (29), 1978, 141-154.
  11. 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, 165-168.
  12. 80j:57028 (with R. H. Szczarba) On the homotopy type of diffeomorphism groups, C. R. Acad. des Sciences, Paris (29), 1979, 417-419.
  13. 81a:55020 pdf Tame homotopy theory, Topology (18), 1979, 321-338.
  14. 80f:55010 pdf (with E. Dror and D. M. Kan) Self homotopy equivalences of Postnikov conjugates, Proc. Amer. Math. Soc. (74), 1979, 183-186.
  15. 81b:18006 pdf Twisted homological stability for general linear groups, Annals of Math. (111), 1980, 239-251.
  16. 83d:18015 pdf (with W.-C. Hsiang and R. Staffeldt) Pseudo-isotopy and invariant theory I, Topology (19), 1980, 367-385.
  17. 83d:18016 (with W.-C. Hsiang and R. Staffeldt) Pseudo-isotopy and invariant theory II: Rational algebraic K-theory of a space with finite fundamental group, Topology Symposium, Siegen 1979. Proceedings, Lecture Notes in Math. 788, 1980, 418-440.
  18. 81f:55022 pdf Higher divided squares in second-quadrant spectral sequences, Trans. Amer. Math. Soc. (260), 1980, 437-447.
  19. 81e:55027 pdf Homotopy operations for simplicial commutative algebras, Trans. Amer. Math. Soc. (260), 1980, 421-435.
  20. 81h:55018 pdf (with D. M. Kan) Simplicial localization of categories, J. Pure and Applied Algebra (17), 1980, 267-284.
  21. 81h:55019 pdf (with D. M. Kan) Calculating simplicial localizations, J. Pure and Applied Algebra (18), 1980, 17-35.
  22. 81h:55012 pdf (with E. Dror and D. M. Kan) Automorphisms of fibrations, Proc. Amer. Math. Soc. (80), 1980, 491-494.
  23. 81m:55018 pdf (with D. M. Kan) Function complexes in homotopical algebra, Topology (19), 1980, 427-440.
  24. 82a:55009 pdf (with E. Dror and D. M. Kan) Equivariant maps which are self homotopy equivalences, Proc. Amer. Math. Soc. (80), 1980, 670-672.
  25. 84h:55005 pdf (with E. Dror and D. M. Kan) Self homotopy equivalences of virtually nilpotent spaces, Comment. Math. Helv. (56), 1981, 599-614.
  26. 83b:12012 pdf (with E. M. Friedlander) Etale K-theory and arithmetic, Bull. Amer. Math. Soc. (6), 1982, 453-455.
  27. 84i:14015 pdf (with E. M. Friedlander, V. Snaith and R. Thomason) Algebraic K-theory eventually surjects onto topological K-theory, Invent. Math. (66), 1982, 481-491.
  28. 85h:57038 pdf (with R. H. Szczarba) On the homotopy type of diffeomorphism groups, Ill. J. Math. (27), 1983, 578-596.
  29. 85k:57026 pdf (with D. B. Ellis and R. H. Szczarba) Foliations with non-orientable leaves, Proc. Amer. Math. Soc. (89), 1983, 733-737.
  30. 85e:55038 pdf (with D. M. Kan) Function complexes for diagrams of simplicial sets, Indag. Math. (45), 1983, 139-147.
  31. 86c:55010d pdf (with D. M. Kan) Singular functors and realization functors, Indag. Math. (46), 1984, 147-153.
  32. 86e:55016 pdf (with D. M. Kan) Homotopy theory and simplicial groupoids, Indag. Math. (46), 1984, 379-385.
  33. 86c:55010c pdf (with D. M. Kan) An obstruction theory for diagrams of simplicial sets, Indag. Math. (46), 1984, 139-146.
  34. 86j:18009 (with E. M. Friedlander) Etale K-theory of Azumaya algebras, J. Pure and Applied Algebra (34), 1984, 179-191.
  35. 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, 456-460.
  36. 86c:55010a (with D. M. Kan) A classification theorem for diagrams of simplicial sets, Topology (23), 1984, 139-155.
  37. 87i:55037 Homology of integral upper-triangular matrices, Proc. Amer. Math. Soc. (94), 1985, 523-528.
  38. 86h:55008 (with D. M. Kan) Equivariant homotopy classification, J. Pure and Applied Algebra (35), 1985, 269-285.
  39. 87h:55010 (with D. M. Kan) Reducing equivariant homotopy theory to the theory of fibrations, Contemporary Mathematics Volume 37, American Math. Soc., 1985, 35-49.
  40. 87h:18013 (with E. M. Friedlander) Algebraic and étale K-theory, Trans. Amer. Math. Soc. (272), 1985, 247-280.
  41. 88d:18009 (with D. M. Kan) Normalizing the cyclic modules of Connes, Comment. Math. Helvet. (60), 1985, 582-600.
  42. 86m:55014 (with M. J. Hopkins and D. M. Kan) The homotopy theory of cyclic sets, Trans. Amer. Math. Soc. (291), 1985, 281-289.
  43. 88f:18013 pdf (with E. M. Friedlander) Conjectural calculations of general linear group homology, Applications of Algebraic K-theory to Algebraic Geometry and Number Theory, Contemporary Mathematics Volume 55, Part I, Amer. Math. Soc., 1986, 135-147.
  44. 88a:18016 (with E. M. Friedlander) Some remarks on the K-theory of fields, Applications of Algebraic K-theory to Algebraic Geometry and Number Theory, Contemporary Mathematics Volume 55, Part I 1986, Amer. Math. Soc., 149-157.
  45. 89d:55051 (with D. M. Kan) Equivalences between homotopy theories of diagrams, Algebraic Topology and Algebraic K-theory, Princeton University Press, 1987, 180-204.
  46. 88g:55011 (with D. Fried) Homology of free abelian covers. I., Bull. London Math. Soc. (19), 1987, 350-352.
  47. 88f:18022 (with D. M. Kan) Three homotopy theories for cyclic modules, J. Pure and Applied Algebra (44), 1987, 165-175.
  48. 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, 82-89.
  49. 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, 90-105.
  50. 89b:55018 pdf (with A. Zabrodsky) Maps between classifying spaces, Algebraic Topology, Barcelona 1986, Lecture Notes in Math. 1298, 1987, 106-119.
  51. 89g:55005 (with C. Wilkerson) Smith theory revisited, Annals of Math. (127), 1988, 191-198.
  52. 89i:55011 (with C. Wilkerson) Maps of BZ/p to BG, Algebraic Topology/Rational Homotopy, Lecture Notes in Math. 1318, 1988, 92-98.
  53. 90g:18011 pdf (with D. M. Kan) Hochschild-Mitchell cohomology of simplicial categories and the cohomology of simplicial diagrams of simplicial sets, Proc. Koninklijke Nederlandse Akademie van Wetenschappen (91), 1988, 111-120.
  54. 89k:55009 (with D. M. Kan and J. H. Smith) Towers of fibrations and homotopical wreath products, J. Pure and Applied Algebra (56), 1989, 9-28.
  55. 90d:18007 (with D. M. Kan and J. H. Smith) Homotopy commutative diagrams and their realizations, J. Pure and Applied Algebra (57), 1989, 5-24.
  56. 90d:55034 (with D. M. Kan) Homology with simplicial coefficients, Algebraic Topology, Proceedings, Arcata 1986, Lecture Notes in Math. 1370, 1989, 143-149.
  57. 90h:55032 R-nilpotency in homotopy equivalences, Israel J. Math. (66), 1989, 154-159.
  58. 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 21-24, 1988, Contemporary Math. vol. 96, Amer. Math. Soc., 1989, 1-13.
  59. 90i:55034 (with H. Miller and J. Neisendorfer) Fibrewise completion and unstable Adams spectral sequences, Israel J. Math. (66), 1989, 160-178.
  60. 91j:55015 (with D. M. Kan) The enveloping ring of a Pi-algebra, Advances in Homotopy Theory, London Math. Soc. Lecture Note Series 139, Cambridge University Press, 1989, 49-60.
  61. 92b:55004 (with C. W. Wilkerson) Spaces of null homotopic maps, Proceedings of the 1988 Luminy Conference, Astérisque (191), 1990, 97-108.
  62. 92i:55006 (with C. W. Wilkerson) Smith theory and the functor T, Comment. Math. Helvet. (66), 1991, 1-17.
  63. 92e:55011 (with D. M. Kan) Centric maps and realization of diagrams in the homotopy category, Proc. Amer. Math. Soc. (114), 1992, 575-584.
  64. 92m:55013 (with H. R. Miller and C. W. Wilkerson) Homotopical uniqueness of classifying spaces, Topology (31), 1992, 29-45.
  65. 93h:55008 (with C. W. Wilkerson) A cohomology decomposition theorem, Topology (31), 1992, 433-443.
  66. 93m:19010 (with E. M. Friedlander and S. A. Mitchell) The generalized Burnside ring and the K-theory of rings with roots of unity, K-theory (6), 1992, 285-300.
  67. 93d:55011 (with C. W. Wilkerson) A new finite loop space at the prime two, J. Amer. Math. Soc. (6) 1993, 37-63.
  68. 94f:20097 (with S. M. Jekel and A. I. Suciu) Homology isomorphisms between algebraic groups made discrete, Bull. London Math. Soc. (25) 1993, 145-149.
  69. 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, 137-152.
  70. 95h:19004 (with E. M. Friedlander) Topological models for arithmetic, Topology (33), 1994, 1-24.
  71. 94d:55017 (with D. M. Kan, J. H. Smith and C. R. Stover) A Pi-algebra spectral sequence for function spaces, Proc. Amer. Math. Soc. (120), 1994, 615-621.
  72. 94h:55027 (with D. M. Kan) Homology and cohomology of Pi-algebras, Trans. Amer. Math. Soc. (342), 1994, 257-273.
  73. 95e:55019 (with C. W. Wilkerson) Homotopy fixed point methods for Lie groups and finite loop spaces, Annals of Math. (139), 1994, 395-442.
  74. 96a:55024 (with C. W. Wilkerson) The center of a p-compact group, Contemporary Mathematics 181, Proceedings of the 1993 Cech Conference (Northeastern Univ.), Amer. Math. Soc., 1995, 119-157.
  75. 96h:55014 (with J. Spalinski) Homotopy theories and model categories, Handbook of Algebraic Topology, edited by I.~M.~James, Elsevier, 1995, 73-126.
  76. 96h:55005 (with C. W. Wilkerson) Product splittings of p-compact groups, Fund. Math. (147), 1995, 279-300.
  77. 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, 167-188.
  78. 97i:55028 The centralizer decomposition of BG, Proceedings 1994 Barcelona Conference, Progress in Math. vol.~136, Birkhäuser 1996, 167-184.
  79. 97a:55020 (with C. W. Wilkerson) Diagrams up to cohomology, Trans. Amer. Math. Soc. (348), 1996, 1863-1883.
  80. 96i:57022 (with S. Stolz and L. R. Taylor) On the dimension of infinite covers, Proc. Amer. Math. Soc. (124), 1996, 2235-2239
  81. 97h:55014 Transfer maps for fibrations, Math. Proc. Camb. Phil. Soc. (120), 1996, 221-235.
  82. 98g:19006 (with S. A. Mitchell) On the K-theory spectrum of a smooth curve over a finite field, Topology (36), 1997, 899-929.
  83. 97m:55016 Homology decompositions for classifying spaces of finite groups, Topology (36), 1997, 783-804.
  84. 98d:55013 pdf (with J. M. Møller) Homotopy fixed points for cyclic p-group actions, Proc. Amer. Math. Soc. (125), 1997, 3735-3739.
  85. 2000a:57092 dvi pdf  Exotic cohomology for GL(n,Z[1/2]), Proc. Amer. Math. Soc., (126), 1998, 2159-2167.
  86. 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, 197-220.
  87. 99i:19003 dvi pdf  (with S. A. Mitchell) On the K-theory spectrum of a ring of algebraic integers, K-theory (14), 1998, 201-263.
  88. 99g:22007 dvi pdf  (with C. W. Wilkerson) The elementary geometric structure of compact Lie groups, Bull. London Math. Soc. (30), 1998, 337--364.
  89. 99e:55027 dvi pdf  (with C. W. Wilkerson) Kähler differentials, the T-functor, and a theorem of Steinberg, Trans. Amer. Math. Soc. 350 (1998), no. 12, 4919-4930.
  90. 99h:55025 dvi pdf  Lie groups and p-compact groups, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), 433-442.
  91. 99i:55016 dvi pdf  (with E. Dror-Farjoun and D. Ravenel) Bousfield localizations of classifying spaces of nilpotent groups, Proc. Amer.Math. Soc. 127 (1999), no. 6, 1855-1861.
  92. 2000g:55014 dvi pdf  (with A. J. Berrick) The spaces that define algebraic K-theory, Topology 39 (2000), no. 1, 225-228.
  93. 2002d:55003 dvi pdf  (with G. Arone) Partition complexes, Tits buildings, and symmetric products, Proc. London Math. Soc. 82 (2001), 229-256.
  94. 2001f:55015 dvi pdf  (with J. Palmieri) Ohkawas theorem: there is a set of Bousfield classes Proc. Amer. Math. Soc. 129 (2001), 881-886.
  95. 2002b:22013 dvi pdf  (with. C. Wilkerson) Centers and Coxeter elements, Contemporary Mathematics vol. 271, Amer. Math. Soc. 2001, 53-75.
  96. 2003h:20093 dvi pdf  (with H. W. Henn) Homotopy theoretic methods in group cohomology, Advanced Courses in Mathematics--CRM Barcelona, Birkhauser Verlar, Basel, 2001.
  97. 2002j:55009 dvi pdf  (with W. Chacholski and M. Intermont) The A-complexity of a space, J. London Math. Soc. 65 (2002) 204-222.
  98. 2003g:16010 dvi pdf  (with J. P. C. Greenlees) Complete modules and torsion modules, Amer. J. Math. 124(2002), 199-220.
  99. 2004d:19004 dvi pdf  (with M. Weiss and B. Williams) A parameterized index theorem for the algebraic K-theory Euler class, Acta Math 190(2003), no. 1, 1-104.
  100. 2005e:55032 dvi pdf  (with D. Christensen and D. Isaksen) Obstruction theory in model categories, Adv. Math. 181(2004), no. 2, 396--416.
  101. 2005b:18018 dvi pdf  Localizations, Axiomatic, Enriched and Motivic Homotopy Theory (J. P. C. Greenlees, ed.), Kluwer, 2004, Proceedings of the NATO ASI, 3-28.
  102. 2005b:55008 dvi pdf  (with D. Blanc and P. G. Goerss) The realization space of a PI-algebra: a moduli problem in algebraic topology, Topology 43(2004), 857-892.
  103. 2005d:22004 dvi pdf  (with C. W. Wilkerson) Cartan involutions and normalizers of maximal tori, Publ. Res. Inst. Math. Sci. 40(2004), no. 2, 295-309.
  104. 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.
  105. 2006f:55015 dvi pdf  (with C. W. Wilkerson) Normalizers of tori, Geom. Topol. 9(2005), 1337-1380 (electronic).
  106. 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, 383-432.
  107. 2006k:55017 dvi pdf  (with J. P. C. Greenlees and S. Iyengar) Duality in algebra and topology, Adv. Math. 200(2006), no. 2, 357-402.
  108. 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. 24-39.
  109. 2007f:55010 dvi pdf  (with W. Chacholski and M. Intermont) v*-torsion spaces and thick classes, Math. Ann. 336 (2006), no. 1, 13-26.
  110. 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, 235-238.
  111. 2008m:55025 dvi pdf  (with G. Z. Arone and K. Lesh) Loop structures in Taylor towers, Algebr. Geom. Topol. 8 (2008), no. 1, 173-210.
  112. 2009e:18021 (with J. Palmieri) The Bousfield lattice for truncated polynomial algebras, Homology, Homotopy Appl. 10 (2008), no. 1, 413--436.
  113. 2010a:55022 dvi pdf  (with B. Chorny) Homotopy theory of small diagrams over large categories, Forum Math. 21 (2009), no. 2, 167--179.
  114. MR2506823 dvi pdf  (with C. W. Wilkerson) The fundamental group of a p-compact group, Bull. Lond. Math. Soc. 41 (2009), no. 3, 385--395.
  115. MR2581908 dvi pdf  (with E. D. Farjoun) Localization and cellularization of principal fibrations, Alpine perpspectives on algebraic topology, 117-124, Contemp. Math., 504, Amer. Math. Soc., Providence, RI, 2009.
  116. MR2580428 dvi pdf  (with G. Biedermann) Homotopy nilpotent groups, Algebr. Geom. Topol. 10 (2010), no. 1, 33-61.
  117. MR2661576 dvi pdf  (with C. W. Wilkerson) Poincare duality and Steinbergs theorem on rings of coinvariants Proc. Amer. Math. Soc. 138 (2010), no. 10, 3769-3775.
  118. MR2737327 (with A. Radulescu-Banu and S. Thomas) Faithfulness of a functor of Quillen, Algebr. Geom. Topol. 10 (2010), no. 1, 525-530.
  119. dvi pdf  (with J. P. C. Greenlees and S. B. Iyengar) Gross-Hopkins duality and the Gorenstein condition, preprint (Notre Dame) 2009.
  120. dvi pdf  (with K. Hess) Long knots and maps between operads, preprint (Notre Dame) 2010.
  121. dvi pdf  Quillen's work on the Adams conjecture preprint (Notre Dame) 2011.
  122. dvi pdf  (with J. P. C. Greenlees and S. B. Iyengar) DG algebras with exterior homology preprint (Notre Dame) 2012.
  123. pdf (with G. Arone and K. Lesh) Bredon homology of partition complexes preprint (Union College) 2013.
  124. pdf (with K. Hess) The Boardman-Vogt tensor product of operadic bimodules preprint (EPFL) 2013.



Notes

These are notes from a one-week 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.