Ronald Brown | Academic Influence

Ronald Brown 's AcademicInfluence.com Rankings

Ronald Brown

Mathematics

#574

World Rank

#1088

Historical Rank

Group Theory

#53

World Rank

#66

Historical Rank

Algebra

#42

World Rank

#75

Historical Rank

Number Theory

#151

World Rank

#200

Historical Rank

mathematics Degrees

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Mathematics

Ronald Brown 's Degrees

Masters Mathematics University of Oxford

Why Is Ronald Brown Influential?

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According to Wikipedia, Ronald Brown FLSW is an English mathematician. Emeritus Professor in the School of Computer Science at Bangor University, he has authored many books and more than 160 journal articles. Education and career Born on 4 January 1935 in London, Brown attended Oxford University, obtaining a B.A. in 1956 and a D.Phil. in 1962. Brown began his teaching career during his doctorate work, serving as an assistant lecturer at the University of Liverpool before assuming the position of Lecturer. In 1964, he took a position at the University of Hull, serving first as a Senior Lecturer and then as a Reader before becoming a Professor of pure mathematics at Bangor University, then a part of the University of Wales, in 1970.

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Ronald Brown '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

Van Kampen theorems for diagrams of spaces (1987) (441)
From Groups to Groupoids: a Brief Survey (1987) (328)
Topology and Groupoids (2006) (273)
On the algebra of cubes (1981) (249)
Crossed modules and the fundamental groupoid of a topological group (1976) (235)
Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids (2011) (222)
Groupoids and crossed objects in algebraic topology (1999) (159)
Double groupoids and crossed modules (1976) (153)
Colimit theorems for relative homotopy groups (1981) (147)
Elements of Modern Topology (1968) (144)
Topology, A Geometric Account Of General Topology, Homotopy Types And The Fundamental Groupoid (1988) (141)
ON THE CONNECTION BETWEEN THE SECOND RELATIVE HOMOTOPY GROUPS OF SOME RELATED SPACES (1978) (136)
Tensor products and homotopies for ω-groupoids and crossed complexes (1987) (131)
Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules (1989) (131)
Groupoids and Van Kampen's Theorem (1967) (104)
Fibrations of Groupoids (1970) (99)
The twisted Eilenberg-Zilber Theorem (2009) (93)
The classifying space of a crossed complex (1991) (91)
Determination of a double Lie groupoid by its core diagram (1992) (91)
Multiple Categories: The Equivalence of a Globular and a Cubical Approach (2000) (91)
Coproducts of crossed P-modules: Applications to second homotopy groups and to the homology of groups (1984) (85)
The equivalence of $\infty$-groupoids and crossed complexes (1981) (73)
Hopf Formulae for the Higher Homology of a Group (1988) (73)
Homotopical Excision, and Hurewicz Theorems, for n-Cubes of Spaces (1987) (73)
DOUBLE CATEGORIES, 2-CATEGORIES, THIN STRUCTURES AND CONNECTIONS (1999) (60)
Graphs of Morphisms of Graphs (2008) (57)
On finite induced crossed modules and the homotopy 2-type of mapping cones (1995) (53)
A model structure for the homotopy theory of crossed complexes (1989) (52)
Spaces of partial maps, fibred mapping spaces and the compact-open topology (1978) (52)
The holonomy groupoid of a locally topological groupoid (1992) (47)
SINGULAR HOMOLOGY THEORY (Graduate Texts in Mathematics, 70) (1981) (45)
Van Kampen theorems for categories of covering morphisms in lextensive categories (1997) (44)
APPLICATIONS OF PEIFFER PAIRINGS IN THE MOORE COMPLEX OF A SIMPLICIAL GROUP (1998) (44)
Homotopies and Automorphisms of Crossed Modules of Groupoids (2000) (44)
Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems ⁄ (2002) (43)
The fundamental groupoid as a topological groupoid (1975) (41)
Crossed complexes and chain complexes with operators (1990) (40)
A Compact‐Open Topology on Partial Maps with Open Domain (1980) (38)
Crossed complexes and non-abelian extensions (1982) (37)
The monodromy groupoid of a Lie groupoid (1995) (37)
Orbits Under Symplectic Transvections I (1986) (34)
A van Kampen theorem for unions of non-connected spaces (1984) (33)
Foliations, locally lie groupoids and holonomy (1996) (33)
HIGHER DIMENSIONAL PEIFFER ELEMENTS IN SIMPLICIAL COMMUTATIVE ALGEBRAS (1997) (32)
COMPUTING CROSSED MODULES INDUCED BY AN INCLUSION OF A NORMAL SUBGROUP, WITH APPLICATIONS TO HOMOTOPY 2-TYPES (1996) (31)
Topological groupoids: II. Covering morphisms and G‐spaces (2009) (31)
FREENESS CONDITIONS FOR 2-CROSSED MODULES AND COMPLEXES. (1998) (31)
Coglueing homotopy equivalences (1970) (31)
Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties (1975) (30)
Topological groupoids: I. universal constructions (1976) (30)
On the Second Relative Homotopy Group of an Adjunction Space: An Exposition of a Theorem of J. H. C. Whitehead (1980) (30)
Computation and homotopical applications of induced crossed modules (2002) (30)
GROUPOIDS AS COEFFICIENTS (1972) (28)
Global actions, groupoid atlases and related topics (2006) (25)
Using Rewriting Systems to Compute Left Kan Extensions and Induced Actions of Categories (1999) (23)
Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces (2002) (23)
Free crossed resolutions of groups and presentations of modules of identities among relations (1998) (23)
On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps (1978) (22)
Q-PERFECT GROUPS AND UNIVERSAL Q-CENTRAL EXTENSIONS (1990) (22)
Orbits Under Symplectic Transvections Ii: The Case K = F2 (1986) (21)
Groupoids and the Mayer-Vietoris sequence (1983) (20)
ON THE SCHREIER THEORY OF NONABELIAN EXTENSIONS: GENERALISATIONS AND COMPUTATIONS (2003) (19)
The equivalence of $\omega $-groupoids and cubical $T$-complexes (1981) (19)
Lie local subgroupoids and their holonomy and monodromy Lie groupoids (1998) (19)
The algebra of cubes ⁄y (2002) (18)
Spaces of maps into classifying spaces for equivariant crossed complexes, II: The general topological group case. (1997) (17)
On relative homotogy groups of the product filtration, the James construction, and a formula of Hopf (1993) (16)
Galois theory of second order covering maps of simplicial sets (1999) (16)
Homotopy theory, and change of base for groupoids and multiple groupoids (1996) (16)
A NEW HIGHER HOMOTOPY GROUPOID: THE FUNDAMENTAL GLOBULAR !-GROUPOID OF A FILTERED SPACE (2008) (15)
The Methodology of Mathematics (1995) (14)
Embeddings in contractible or compact objects (1978) (14)
Holonomy and monodromy groupoids (2001) (13)
POSSIBLE CONNECTIONS BETWEEN WHISKERED CATEGORIES AND GROUPOIDS, LEIBNIZ ALGEBRAS, AUTOMORPHISM STRUCTURES AND LOCAL-TO-GLOBAL QUESTIONS (2010) (13)
Some nonprojective subgroups of free topological groups (1975) (12)
On Sequentially Proper Maps and a Sequential Compactification (1974) (12)
Moore hyperrectangles on a space form a strict cubical omega-category with connections (2009) (11)
GLOBAL ACTIONS, GROUPOID ATLASES AND APPLICATIONS (2006) (11)
Lifting amalgamated sums and other colimits of groups and topological groups (1987) (10)
Three themes in the work of Charles Ehresmann: local-to-global; groupoids; higher dimensions (2006) (10)
The intuitions of higher dimensional algebra for the study of structured space (2003) (10)
Symmetry, groupoids and higher-dimensional analogues (1989) (10)
Some problems in non-abelian homotopical and homological algebra (1990) (7)
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits (1979) (6)
Calculations with Simplicial and Cubical Groups in AXIOM (1994) (6)
ORIENTED SINGULAR HOMOLOGY (1995) (5)
String rewriting for double coset systems (2005) (5)
Higher order symmetry of graphs (1994) (5)
Towards a 2-dimensional notion of holonomy (2000) (5)
Erratum to: Groupoids, the Phragmen–Brouwer property, and the Jordan curve theorem (2006) (5)
Possible connections between whiskered categories and groupoids, many object Leibniz algebras, automorphism structures and local-to-global questions (2007) (4)
'Double modules', double categories and groupoids, and a new homotopical double groupoid (2009) (4)
Lie local subgroupoids and their monodromy (1998) (3)
Mathematics and Knots (1999) (3)
Covering morphisms of crossed complexes and of cubical omega-groupoids are closed under tensor product (2011) (3)
The homotopy groups of ann-fold wedge (1975) (2)
GLOBAL ACTIONS, GROUPOID ATLASES AND RELATED TOPICS (DEDICATED TO THE MEMORY OF SAUNDERS MACLANE(1909-2005) (2006) (1)
Memory Evolutive Systems (2009) (1)
WHAT SHOULD BE THE CONTEXT OF AN ADEQUATE SPECIALIST UNDERGRADUATE EDUCATION IN MATHEMATICS (2012) (1)
Open covers, locally sectionable maps, sets of base points, and van Kampen's theorem (2019) (1)
Free crossed resolutions for graph products and amalgamated sums of groups (2001) (1)
Lie Local Subgroupoids And Their (2007) (0)
Free crossed resolutions for graph products of groups (2001) (0)
OUTLINE OF GENERAL TOPOLOGY (1970) (0)
A 1-dimensional Relative Hurewicz Theorem (2010) (0)
A HOMOTOPY 2 – GROUPOID FROM A (1999) (0)
S ep 2 00 0 Towards a 2-dimensional notion of holonomy ∗ (2008) (0)
THE TOPOLOGY OF CW COMPLEXES (1972) (0)
2 2 A ug 2 00 0 Local subgroupoids II : Examples and properties ∗ (2008) (0)
ec 2 00 1 Towards a 2-dimensional notion of holonomy ∗ (2008) (0)
NOTES ON CATEGORIES AND GROUPOIDS (1972) (0)
THE HOLONOMY GROUPOID OF A LOCALLY (2005) (0)
Triadic van Kampen and Hurewicz Theorems (2012) (0)
AY Remarks on the Mal ’ cev completion of torsion-free locally nilpotent groups (1981) (0)
VAN KAMPEN’S THEOREM FOR LOCALLY SECTIONABLE MAPS (2021) (0)
COMPUTING CROSSED MODULES INDUCED BY AN INCLUSIONOF A NORMAL SUBGROUP , WITH APPLICATIONS TOHOMOTOPY 2-TYPESRONALD (2013) (0)
ERRATUM TO \POSSIBLE CONNECTIONS BETWEEN WHISKERED CATEGORIES AND GROUPOIDS, LEIBNIZ ALGEBRAS, AUTOMORPHISM STRUCTURES AND LOCAL-TO-GLOBAL QUESTIONS ", VOL.5 (1) 2010, PP.305-318. (2010) (0)
ON FINITE INDUCED CROSSED MODULES � AND THE HOMOTOPY TYPE OF MAPPING CONES Dedicated to the memory of J � H � C � (1995) (0)

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