J. Peter May

Q: What Schools Are Affiliated With J. Peter May

J. Peter May is affiliated with the following schools: Yale University, University of Bristol, Swarthmore College, Princeton University, University of Chicago

J. Peter May's AcademicInfluence.com Rankings

J. Peter May

Mathematics

#453

World Rank

#893

Historical Rank

#204

USA Rank

Measure Theory

#669

World Rank

#912

Historical Rank

#269

USA Rank

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Mathematics

J. Peter May's Degrees

PhD Mathematics Princeton University

Why Is J. Peter May Influential?

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According to Wikipedia, Jon Peter May is an American mathematician working in the fields of algebraic topology, category theory, homotopy theory, and the foundational aspects of spectra. He is known, in particular, for the May spectral sequence and for coining the term operad. The word "operad" was created by May as a portmanteau of "operations" and "monad" .

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J. Peter May'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

The geometry of iterated loop spaces (1972) (1489)
Simplicial objects in algebraic topology (1993) (1254)
Model Categories of Diagram Spectra (2001) (469)
Equivariant Stable Homotopy Theory (1986) (445)
Equivariant Homotopy and Cohomology Theory (1996) (380)
E∞ ring spaces and E∞ ring spectra (1977) (337)
Equivariant Orthogonal Spectra and S-Modules (2002) (330)
Classifying Spaces And Fibrations (1975) (288)
A general algebraic approach to steenrod operations (1970) (274)
H Ring Spectra and Their Applications (1986) (259)
Parametrized homotopy theory (2004) (249)
The Homology of Iterated Loop Spaces (1976) (224)
Matric Massey products (1969) (216)
Derived functors of I-adic completion and local homology (1992) (202)
The Additivity of Traces in Triangulated Categories (2001) (185)
On the theory and applications of differential torsion products (1974) (159)
THE UNIQUENESS OF INFINITE LOOP SPACE MACHINES (1978) (153)
New Developments in Topology: E∞ spaces, group completions, and permutative categories (1974) (143)
More Concise Algebraic Topology: Localization, Completion, and Model Categories (2012) (138)
The cohomology of restricted Lie algebras and of Hopf algebras (1965) (136)
Generalized Tate Cohomology (1995) (125)
Splitting of certain spaces CX (1978) (100)
LOCALIZATION AND COMPLETION THEOREMS FOR MU-MODULE SPECTRA (1997) (94)
Approximate factorization of multivariate polynomials via differential equations (2004) (89)
Triangular decomposition of semi-algebraic systems (2010) (82)
Pairings of categories and spectra (1980) (78)
Approximate factorization of multivariate polynomials using singular value decomposition (2008) (73)
The cohomology of restricted Lie algevras and of Hopf Algebras : application to the Steenrod algebra (1964) (73)
Picard Groups, Grothendieck Rings, and Burnside Rings of Categories (2001) (71)
Infinite loop space theory (1977) (68)
Isomorphisms between left and right adjoints (2002) (67)
MODELS OF G-SPECTRA AS PRESHEAVES OF SPECTRA (2011) (63)
DEFINITIONS: OPERADS, ALGEBRAS AND MODULES (2002) (58)
Six model structures for DG-modules over DGAs: model category theory in homological action (2013) (56)
What precisely are E∞ring spaces and E∞ring spectra? (2009) (52)
Equivariant iterated loop space theory and permutative G–categories (2012) (45)
Ordinary $RO\left( G \right)$-graded cohomology (1981) (43)
OPERADS, ALGEBRAS AND MODULES (1997) (40)
On approximate irreducibility of polynomials in several variables (2003) (40)
Multiplicative infinite loop space theory (1982) (36)
James maps, Segal maps, and the Kahn-Priddy theorem (1984) (33)
THE SPECTRA ASSOCIATED TO PERMUTATIVE CATEGORIES (1978) (32)
Categories of spectra and infinite loop spaces (1969) (32)
ENRICHED MODEL CATEGORIES AND PRESHEAF CATEGORIES (2011) (31)
Algebras over equivariant sphere spectra (1997) (30)
CHAPTER 7 – Completions in Algebra and Topology (1995) (30)
Towards Higher Categories (2010) (30)
A GENERALIZATION OF THE ATIYAH-SEGAL COMPLETION THEOREM (1988) (29)
Equivariant algebraic K-theory (1982) (29)
Operadic Categories, a ∞ -categories and N-categories (28)
Minimal atomic complexes (2002) (28)
The Picard Group of Equivariant Stable Homotopy Theory (2001) (27)
A generalization of the segal conjecture (1988) (26)
E∞ ring spectra (1977) (26)
Efficient matrix rank computation with application to the study of strongly regular graphs (2007) (25)
Adams Memorial Symposium on Algebraic Topology: Completions of G-spectra at ideals of the Burnside ring (1992) (25)
Weak equivalences and quasifibrations (1990) (25)
A FURTHER GENERALIZATION OF THE SEGAL CONJECTURE (1989) (24)
Fibrewise localization and completion (1980) (23)
The Bockstein and the Adams spectral sequences (1981) (22)
Equivariant homotopy and cohomology theory : dedicated to the memory of Robert J. Piacenza (1996) (22)
FIBREWISE LOCALIZATION AND COMPLETION (2010) (22)
Commutative algebra in stable homotopy theory and a completion theorem (1994) (22)
A∞ ring spaces and algebraic K-theory (1978) (22)
Iterated loop spaces and the Open image in new window (1972) (22)
Some remarks on the structure of Mackey functors (1992) (21)
The Segal conjecture for elementary Abelian p-groups—II. p-adic completion in equivariant cohomology (1987) (21)
The cohomology of augmented algebras and generalized Massey products for -Algebras (1966) (21)
Splitting of some more spaces (1979) (21)
What are E∞ring spaces good for? (2009) (21)
The homology of E∞ spaces (1976) (20)
Cores of spaces, spectra, and E∞ ring spectra (2001) (20)
Equivariant orientation theory (2001) (19)
The cohomology of the Steenrod algebra; stable homotopy groups of spheres (1965) (19)
The cohomology of principal bundles, homogeneous spaces, and two-stage Postnikov systems (1968) (19)
The Wirthmuller isomorphism revisited (2002) (18)
Equivariant infinite loop space theory, I. The space level story (2017) (18)
Munshi's Proof of the Nullstellensatz (2003) (18)
The construction of $E_{\infty}$ ring spaces from bipermutative categories (2009) (18)
Equivariant and nonequivariant module spectra (1998) (15)
The spectra associated to ℐ-monoids (1978) (15)
Prior Nonfatal Firearm Injuries in Detainees of a Large Urban Jail (2010) (15)
Permutative G-categories in equivariant infinite loop space theory (2012) (15)
H∗Spin(N) as a Hopf algebra (1977) (15)
$K(Z,O)$ and $K(Z_{2},O)$ as Thom spectra (1981) (13)
THE WIRTHM ¨ ULLER ISOMORPHISM REVISITED (2003) (13)
A discussion of statistical testing on a safety-related application (2007) (12)
The homotopy theory of equivariant posets (2016) (12)
Categorical models for equivariant classifying spaces (2012) (12)
THE AXIOMS FOR TRIANGULATED CATEGORIES (1966) (12)
ISSAC 2009 : proceedings of the 2009 international symposium on symbolic and algebraic computation (2009) (12)
Some remarks on the structure of Hopf algebras (1969) (11)
EQUIVARIANT LOCALIZATION (1982) (11)
OPERADS AND SHEAF COHOMOLOGY (2004) (10)
JAMES MAPS AND En RING SPACES (1984) (10)
On the cohomology of generalized homogeneous spaces (2001) (10)
Topological Topics: The dual Whitehead theorems (1983) (9)
What precisely are $E_{\infty}$ ring spaces and $E_{\infty}$ ring spectra? (2009) (9)
The homology of E∞ ring spaces (1976) (8)
Derived categories and motives (1994) (8)
A PRESHEAF INTERPRETATION OF THE GENERALIZED FREYD CONJECTURE (2010) (8)
SYMMETRIC MONOIDAL G-CATEGORIES AND THEIR STRICTIFICATION (2018) (8)
Generalized splitting theorems (1983) (8)
A generalization of Smith theory (1987) (8)
A completion theorem in complex cobordism (by G. Comezana and J. P. May) (1996) (8)
New Algorithms for Exact and Approximate Polynomial Decomposition (2007) (7)
Enriched model categories and diagram categories (2011) (7)
CHAPTER 24 – Stable Algebraic Topology, 1945–1966 (1999) (7)
IDEMPOTENTS AND LANDWEBER EXACTNESS IN BRAVE NEW ALGEBRA (2001) (7)
ANALYSIS OF DUMP-POINT ACCIDENTS INVOLVING MOBILE MINING EQUIPMENT (1990) (7)
OPERADIC TENSOR PRODUCTS AND SMASH PRODUCTS (1997) (7)
DERIVED CATEGORIES IN ALGEBRA AND TOPOLOGY (1997) (6)
A symmetric monoidal and equivariant Segal infinite loop space machine (2017) (6)
User interface design for geometrical decomposition algorithms in Maple (2009) (6)
The completion conjecture in equivariant cohomology (1984) (6)
Approximate Factorization of Polynomials in Many Variables and Other Problems in Approximate Algebra via Singular Value Decomposition Methods (2005) (5)
A categorical construction (1972) (5)
STABLE ALGEBRAIC TOPOLOGY, 1945–1966 (1966) (5)
Enriched model categories in equivariant contexts (2013) (5)
Infinite loop space theory revisited (1979) (5)
Homology Operations Revisited (1982) (4)
ISSAC 2009: International Symposium on Symbolic and Algebraic Computation (2009) (4)
Localization and completion in complex bordism (by J. P. C. Greenlees and J. P. May) (1996) (4)
Maximal ideals in the Burnside ring of a compact Lie group (1988) (4)
What precisely are E 1 ring spaces and E 1 ring spectra ? (2009) (4)
XIV. Equivariant Constructions of Nonequivariant Spectra (1988) (4)
What precisely are E ∞ ring spaces and E ∞ ring spectra? (2009) (3)
The Burnside ring (1996) (3)
TOPOLOGICAL HOCHSCHILD AND CYCLIC HOMOLOGY AND ALGEBRAIC K-THEORY (2013) (3)
The approximation theorem (1972) (3)
Calculations in complex equivariant bordism (by G. Comezaña) (1996) (3)
CATERADS AND ALGEBRAS OVER CATERADS (2005) (2)
Equivariant infinite loop space theory II. The multiplicative Segal machine (2017) (2)
A note on the splitting principle (2005) (2)
Multiplicative equivariant K-theory and the Barratt-Priddy-Quillen theorem (2021) (2)
Characteristic classes in borel cohomology (1987) (2)
Numerical techniques for computing the inertia of products of matrices of rational numbers (2007) (2)
Extended powers and H ∞ ring spectra (1986) (2)
Memorial address for J. Frank Adams (1990) (2)
Operads, monoids, monads, and bar constructions (2020) (2)
Derived categories in algebra and topology (1993) (2)
DERIVED CATEGORIES FROM A TOPOLOGICAL POINT OF VIEW (2009) (2)
Applications and generalizations of the approximation theorem (1979) (2)
Reminiscences on the life and mathematics of J. Frank Adams (1990) (1)
Twisted half-smash products and function spectra (by Michael Cole) (1996) (1)
Preamble: A polemical introduction to the stable category (1986) (1)
Thinking about the Freyd Conjecture (2010) (1)
The Wirthm¨uller Isomorphism Revisited (2002) (1)
On kO-oriented bundle theories (1977) (1)
Operads and -spaces (1972) (1)
Coordinate-free spectra (1977) (1)
NOTES ON DEDEKIND RINGS (2011) (1)
E∞ ring spaces and bipermutative categories (1977) (1)
What precisely are E 1 ring spaces and E 1 ring spectra ? (2009) (1)
The homotopy theory of diagrams (by Robert J. Piacenza) (1996) (1)
NOTES ON ATIYAH’S TQFT’S (2003) (1)
Stable Algebraic Topology and Stable Topological Algebra (1998) (1)
A remark on duality and the Segal conjecture (1986) (1)
Equivariant duality theory (1986) (1)
Adams Memorial Symposium on Algebraic Topology: The work of J. F. Adams (1992) (1)
Equivariant cellular and homology theory (1996) (1)
Automatic variable order selection for polynomial system solving (abstract only) (2008) (1)
Parametrized homology and cohomology theories (2006) (1)
Generalized Tate cohomology (by J. P. C. Greenlees and J. P. May) (1996) (1)
AutomataDAO: A Blockchain-Based Data Marketplace for Interactive Robot and IoT Data Exchanges Using Ethermint and State Channels (2021) (1)
What are $E_{\infty}$ ring spaces good for? (2009) (1)
The category of orthogonal -spectra over (2006) (0)
Enriched categories and -categories (2006) (0)
Picard Groups , Grothendieck Rings , and Burnside Rings of Categories (2001) (0)
Prehistory, an Introduction. By Derek Roe (1971) (0)
Module categories, change of universe, and change of groups (2006) (0)
Brave new algebra (1996) (0)
An introduction to equivariant stable homotopy (1996) (0)
Received 23 April (2001) (0)
Brave new equivariant algebra (by J. P. C. Greenlees and J. P. May) (1996) (0)
The closed symmetric bicategory of parametrized spectra (2006) (0)
E∞ spaces and infinite loop sequences (1972) (0)
Model structures for parametrized -spectra (2006) (0)
Topological Hochschild homology and cohomology (2007) (0)
D. Elmendorf, L. G. Lewis, Jr., and J. P. May) (1996) (0)
Epilogue: cellular philosophy and alternative approaches (2006) (0)
An introduction to equivariant -theory (by J. P. C. Greenlees) (1996) (0)
-() complexes and ()-graded cohomology (by Stefan Waner) (1996) (0)
Infraestructuralismo: la patología de las externalidades negativas (2011) (0)
A Prehistoric Bibliography. By WilfredBonser, extended and edited by JuneTroy (1976) (0)
ring spectra and the specialization to (2007) (0)
Equivariant -type model structures (2006) (0)
The point-set topology of parametrized spaces (2006) (0)
Spaces of linear isometries and technical theorems (2007) (0)
A GENERALIZATION OF SMITH THEORY (2010) (0)
Adjunctions and compatibility relations (2006) (0)
The homotopy theory of -modules (2007) (0)
Remarks concerning the recognition principle (1972) (0)
graded homology and cohomology theories (1996) (0)
Computer Camps and Their Networking (1983) (0)
Bousfield localizations of -modules and algebras (2007) (0)
The equivalence between Ho _{ℬ} and _{ℬ} (2006) (0)
Fiberwise Costenoble-Waner duality (2006) (0)
Fiberwise duality and transfer maps (2006) (0)
Some basic constructions on spectra (2007) (0)
Idempotents and Landweber exactness in brave new algebra (2001) (0)
Operad ring spectra (1986) (0)
Errata and addenda to [A],[G], and [G’] (1976) (0)
Costenoble-Waner duality (2006) (0)
The recognition principle for E∞ ring spaces (1977) (0)
Pairings in infinite loop space theory (1977) (0)
Equivariant Thom spectra (1986) (0)
Structured ring and module spectra (2007) (0)
Change functors and compatibility relations (2006) (0)
A∞ and E∞ operads (1972) (0)
The equivariant stable category (1986) (0)
The little cubes operads (1972) (0)
Well-grounded topological model categories (2006) (0)
A GENERALIZATION OF SMITH THEORY (2010) (0)
Twisted theories and spectral sequences (2006) (0)
Aoo Ring Spaces and Algebraic K-theory (0)
The homological analysis of extended powers (1986) (0)
Operads and monads (1972) (0)
Algebraic and topological K-theory (1977) (0)
Stable homotopy and Mackey functors (1996) (0)
The Segal conjecture (1996) (0)
Categorical constructions; equivariant applications (1996) (0)
Change of universe, smash products, and change of groups (1986) (0)
Review: J. F. Adams, Infinite loop spaces (1979) (0)
The equivariant Hurewicz and suspension theorems (by L. Guance Lewis, Jr.) (1996) (0)
The algebraic theory of -modules (2007) (0)
Weak Equivalenqe.s and ..quasifibrations * (0)
Epilogue: The category of -spectra under (2007) (0)
Proper actions, equivariant bundles and fibrations (2006) (0)
A GENERALIZATION OF SMITH THEORY (2010) (0)
REU 2013: THE COHOMOLOGY OF GROUPS (2013) (0)
Topologically bicomplete model categories (2006) (0)
NOTES ON FILTRATIONS , TOPOLOGIES , AND COMPLETIONS (2009) (0)
Geometric realization and S*, C*, and Ω* (1972) (0)
Cofibrations and quasi-fibrations (1972) (0)
Algebraic -theory of -algebras (2007) (0)
Twisted half smash products and extended powers (1986) (0)
An introduction to equivariant cobordism (by S. R. Costenoble) (1996) (0)
The recognition principle and A∞ spaces (1972) (0)
Equivariant rational homotopy theory (by Georgia Triantafillou) (1996) (0)
Limits and colimits (2008) (0)
Postnikov systems, localization, and completion (1996) (0)
The Additivity of Traces in Triangulated Categories (2001) (0)
Three-dimensional analysis of mine dump point instability under moving loads (1991) (0)
The monadic bar construction (2007) (0)
Closed symmetric bicategories (2006) (0)
The Burnside ring and splittings in equivariant homology theory (1986) (0)
Sistema computacional para la adquisicion automatica de datos en linea con un radiotelescopio de 4 haces simultaneos (1981) (0)
Ex-fibrations and ex-quasifibrations (2006) (0)
Equivariant parametrized homology and cohomology (2006) (0)
Miscellaneous applications in stable homotopy theory (1986) (0)
Review: Tammo tom Dieck, Transformation groups and representation theory (1981) (0)
Geometric realization of simplicial spaces (1972) (0)
Spectra and -spectra; change of groups; duality (1996) (0)
algebras and topological model categories (2007) (0)
The Sullivan conjecture (1996) (0)
Transfer maps in equivariant bundle theory (1996) (0)
Prologue: the category of -spectra (2007) (0)
The -model structure on _{ℬ} (2006) (0)
The equivariant stable homotopy category (1996) (0)
Parametrized FSP’s and generalized Thom spectra (2006) (0)
Equivariant bundle theory and classifying spaces (1996) (0)
A Proactive Genotype for Cybernetic Systems (2019) (0)
Chapter I Extended Powers and H~ Ring Spectra (0)

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