William Gerard Dwyer | Academic Influence

William Gerard Dwyer's AcademicInfluence.com Rankings

William Gerard Dwyer

Mathematics

#3153

World Rank

#4716

Historical Rank

#1184

USA Rank

Group Theory

#89

World Rank

#115

Historical Rank

#21

USA Rank

Algebra

#128

World Rank

#206

Historical Rank

#36

USA Rank

Measure Theory

#2336

World Rank

#2794

Historical Rank

#660

USA Rank

mathematics Degrees

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Mathematics

William Gerard Dwyer's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Stanford University

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Why Is William Gerard Dwyer Influential?

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According to Wikipedia, William Gerard Dwyer is an American mathematician specializing in algebraic topology and group theory. For many years he was a professor at the University of Notre Dame, where he is the William J. Hank Family Professor Emeritus.

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William Gerard Dwyer's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

CHAPTER 2 – Homotopy Theories and Model Categories (1995) (430)
Function complexes in homotopical algebra (1980) (328)
Homotopy theories and model categories (1997) (316)
Simplicial localizations of categories (1980) (308)
Calculating simplicial localizations (1980) (259)
Homotopy Limit Functors on Model Categories and Homotopical Categories (2005) (251)
Homotopy fixed-point methods for Lie groups and finite loop spaces (1994) (219)
Algebraic and etale $K$-theory (1985) (204)
Maps between classifying spaces (1987) (177)
Duality in algebra and topology (2005) (160)
Complete modules and torsion modules (2002) (151)
Homology, massey products and maps between groups (1975) (150)
HOMOTOPY COMMUTATIVE DIAGRAMS AND THEIR REALIZATIONS (1989) (127)
Interactions between Homotopy Theory and Algebra (2007) (120)
A classification theorem for diagrams of simplicial sets (1984) (103)
Twisted homological stability for general linear groups (1980) (96)
A parametrized index theorem for the algebraicK-theory Euler class (2003) (94)
Homotopy theory and simplicial groupoids (1984) (88)
Strong convergence of the Eilenberg-Moore spectral sequence (1974) (86)
Homology decompositions for classifying spaces of finite groups (1997) (81)
A new finite loop space at the prime two (1993) (76)
Function complexes for diagrams of simplicial sets (1983) (72)
An E2 model category structure for pointed simplicial spaces (1993) (66)
Long knots and maps between operads (2010) (66)
Homotopical uniqueness of classifying spaces (1992) (64)
Singular functors and realization functors (1984) (64)
Homotopy Theoretic Methods in Group Cohomology (2001) (62)
The homotopy theory of cyclic sets (1985) (58)
Finiteness in derived categories of local rings (2004) (57)
A cohomology decomposition theorem (1992) (54)
The realization space of a Π-algebra: a moduli problem in algebraic topology (2004) (53)
An obstruction theory for diagrams of simplicial sets (1984) (52)
Partition Complexes, Tits Buildings and Symmetric Products (2001) (49)
An arithmetic square for virtually nilpotent spaces (1977) (44)
The homotopic uniqueness of BS3 (1987) (44)
VIII. Equivalences Between Homotopy Theories of Diagrams (1988) (42)
The bigraded homotopy groups πi, jX of a pointed simplicial space X (1995) (41)
Fibrewise completion and unstable Adams spectral sequences (1989) (41)
Normalizing the cyclic modules of connes (1985) (41)
Equivariant maps which are self homotopy equivalences (1980) (40)
Homotopy operations for simplicial commutative algebras (1980) (39)
The centralizer decomposition of BG (1996) (39)
On the K-Theory Spectrum of a Ring of Algebraic Integers⋆ (1998) (35)
AXIOMS FOR HIGHER TORSION INVARIANTS OF SMOOTH BUNDLES (2005) (34)
Centric maps and realization of diagrams in the homotopy category (1992) (34)
Product splittings for p-compact groups (1995) (34)
A long homology localization tower (1977) (33)
The Elementary Geometric Structure of Compact Lie Groups (1998) (31)
Smith theory and the functorT (1991) (29)
Homology of Free Abelian Covers, I (1987) (29)
Homotopy theory of small diagrams over large categories (2006) (29)
Exotic convergence of the Eilenberg-Moore spectral sequence (1975) (28)
Étale $K$-theory and arithmetic (1982) (27)
Vanishing homology over nilpotent groups (1975) (27)
Ohkawa's theorem: There is a set of Bousfield classes (2000) (25)
Classifying Spaces and Homology Decompositions (2001) (25)
Realizing diagrams in the homotopy category by means of diagrams of simplicial sets (1984) (25)
AlgebraicK-theory eventually surjects onto topologicalK-theory (1982) (25)
Tame homotopy theory (1979) (25)
Equivariant homotopy classification (1985) (24)
Lie groups and p-compact groups (1998) (24)
The Bousfield lattice for truncated polynomial algebras (2008) (22)
Towers of fibrations and homotopical wreath products (1989) (21)
REMARKS ON A CONJECTURE OF GROMOV AND LAWSON (2002) (20)
Bredon Homology of Partition Complexes (2013) (20)
Spaces of Null Homotopic Maps (1997) (20)
Smith theory revisited (1988) (19)
Transfer maps for fibrations (1996) (19)
TOPOLOGICAL MODELS FOR ARITHMETIC (1994) (19)
The generalized Burnside ring and theK-theory of a ring with roots of unity (1992) (18)
An obstruction theory for simplicial categories (1986) (18)
Higher divided squares in second-quadrant spectral sequences (1980) (18)
Loop structures in Taylor towers (2008) (17)
Self homotopy equivalences of virtually nilpotent spaces (1981) (17)
Homology of integral upper-triangular matrices (1985) (17)
Kahler Differentials, the $T$-functor, and a Theorem of Steinberg (1998) (16)
THE CENTER OF A p–COMPACT GROUP (1997) (16)
Pseudo-isotopy and invariant theory—I (1980) (15)
The A‐Complexity of a Space (2002) (14)
THREE HOMOTOPY THEORIES FOR CYCLIC MODULES (1987) (12)
Non-Commutative Localization in Algebra and Topology: Noncommutative localization in homotopy theory (2006) (12)
DG algebras with exterior homology (2012) (12)
On the homotopy type of the components of map*(BS3,BS3) (1987) (12)
Homotopy nilpotent groups (2007) (12)
OBSTRUCTION THEORY IN MODEL CATEGORIES (2001) (12)
Automorphisms of fibrations (1980) (11)
On the K-theory spectrum of a smooth curve over a finite field (1997) (11)
EXOTIC COHOMOLOGY FOR GLN(Z1/2) (1998) (11)
The Boardman-Vogt tensor product of operadic bimodules (2013) (11)
The fundamental group of a p‐compact group (2009) (10)
Homology and cohomology of Π-algebras (1994) (9)
Exotic cohomology for _{}(ℤ[1/2]) (1998) (8)
Stable and unstable homotopy (1998) (7)
On the homotopy type of diffeomorphism groups (1983) (7)
Gross-Hopkins duality and the Gorenstein condition (2009) (7)
Poincaré duality and Steinberg’s Theorem on rings of coinvariants (2010) (7)
Self-homotopy equivalences of Postnikov conjugates (1979) (6)
A Π-algebra spectral sequence for function spaces (1994) (5)
Homological localization of π-modules☆ (1977) (5)
Advances in Homotopy Theory: The enveloping ring of a II-algebra (1989) (5)
The tame homotopy groups of a suspension (1978) (5)
Configuration spaces of products (2017) (5)
p−COMPACT GROUPS WITH ABELIAN WEYL GROUPS (1997) (4)
Frobenius and the derived centers of algebraic theories (2014) (4)
The spaces that define algebraic K-theory (2000) (4)
Homotopy fixed points for cyclic $p$-group actions (1997) (4)
Maps of BZ/pZ to BG (1988) (4)
Diagrams up to cohomology (1996) (4)
Homology with simplicial coefficients (1989) (3)
p-Toral Approximations Compute Bredon Homology (2019) (3)
v∗-TORSION SPACES AND THICK CLASSES (3)
A stable range for homology localization (1977) (3)
R-nilpotency in homotopy equivalences (1989) (3)
Homology Isomorphisms Between Algebraic Groups Made Discrete (1993) (2)
ν*-torsion spaces and thick classes (2006) (2)
Curriculum in medical technology--1972. A junior college version. (1968) (2)
Cartan Involutions and Normalizers of Maximal Tori (2001) (2)
A whitehead theorem for long towers of spaces (1978) (2)
Pseudo-isotopy and invariant theory, II: Rational algebraic K-theory of a space with finite fundamental group (1980) (2)
Etale K-theory of Azumaya algebras (1984) (2)
Exotic cohomology for $\operatorname{GL} (1998) (2)
BOUSFIELD LOCALIZATIONS OF CLASSIFYING SPACES OF NILPOTENT GROUPS (1999) (2)
Cartan Involutions and Normalizers of Maximal Tori : Dedicated to Brroke Shipley and Kevin Corlette on the occasion of their wedding. Bastille Day, 2001 (2004) (1)
A PARAMETERIZED INDEX THEOREM FOR THE ALGEBRAIC K-THEORY (1995) (1)
THE A-COMPLICATION OF A SPACE (2008) (1)
A Study of John Webster's Use of Renaissance Natural and Moral Philosophy (1973) (1)
Faithfulness of a functor of Quillen (2009) (1)
QUILLEN'S WORK ON THE ADAMS CONJECTURE (2013) (1)
A delooping of the space of string links (2015) (1)
Loop structures in (2007) (1)
On the dimension of infinite covers (1996) (1)
HOMOLOGY APPROXIMATIONS FOR CLASSIFYING SPACES OF FINITE GROUPS (1997) (1)
2 A ug 2 00 2 REMARKS ON A CONJECTURE OF GROMOV AND (2002) (0)
Summary of Part II (2005) (0)
Homotopy colimit and limit functors and homotopical ones (2005) (0)
New trends in triangulated categories and their associated cohomology theories (2009) (0)
SELF HOMOTOPY EQUIVALENCES OF POSTNIKOV CONJUGATES 1 (2010) (0)
Cartan Involutions and Normalizers of (2001) (0)
AUTOMORPHISMS OF FIBRATIONS 1 (2010) (0)
Homotopical cocompleteness and completeness of model categories (2005) (0)
LOCALIZATIONS OF CLASSIFYING SPACES OF NILPOTENT GROUPS (1997) (0)
ÉTALE ^-THEORY AND ARITHMETIC (2007) (0)
HOMOTOPY LIE GROUPS: A SURVEY (2005) (0)
HOMOTOPY OPERATIONS FOR SIMPLICIAL COMMUTATIVE ALGEBRAS1 (1980) (0)
A pr 2 00 2 OBSTRUCTION THEORY IN MODEL CATEGORIES (2002) (0)
Foliations with nonorientable leaves (1983) (0)
Prenilpotent Spaces (2007) (0)
DRAFT SUMMARY : COXETER ELEMENTS AND CENTERS (1999) (0)
Homotopical categories and homotopical functors (2005) (0)
Invent. Math., 66(3):481–491, 1982. (2011) (0)
AUTOMORPHISMS OF FIBRATIONS1 (2010) (0)
Frobenius and the derived centers of algebraic theories (2016) (0)
Model categories and their homotopy categories (2005) (0)
Tame Homotopy Theory Il. Introduction and Outline of Results a One-connected (1977) (0)
The Argument against “an Objective Standard of Value” (1974) (0)
Deformable functors and their approximations (2005) (0)

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