Martin Bridson | Academic Influence

Martin Bridson's AcademicInfluence.com Rankings

Martin Bridson

Mathematics

#1374

World Rank

#2280

Historical Rank

Algebraic Topology

#31

World Rank

#39

Historical Rank

Measure Theory

#2501

World Rank

#3006

Historical Rank

mathematics Degrees

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Mathematics

Martin Bridson's Degrees

PhD Mathematics University of Southampton

Why Is Martin Bridson Influential?

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According to Wikipedia, Martin Robert Bridson is a Manx mathematician. He is Whitehead Professor of Pure Mathematics at the University of Oxford, and the president of the Clay Mathematics Institute. He was previously the head of Oxford's Mathematical Institute. He is a fellow of Magdalen College, Oxford and an honorary fellow of Hertford College, Oxford. Specializing in geometry, topology and group theory, Bridson is best known for his work in geometric group theory.

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Martin Bridson'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

Metric Spaces of Non-Positive Curvature (1999) (4821)
Geodesics and curvature in metric simplicial complexes (1991) (142)
There is only one gap in the isoperimetric spectrum (2000) (73)
THE OPTIMAL ISOPERIMETRIC INEQUALITY FOR TORUS BUNDLES OVER THE CIRCLE (1996) (72)
On the finite presentation of subdirect products and the nature of residually free groups (2012) (71)
Subgroups of direct products of limit groups (2007) (63)
GROTHENDIECK'S PROBLEMS CONCERNING PROFINITE COMPLETIONS AND REPRESENTATIONS OF GROUPS (2004) (55)
Fibre products, non-positive curvature, and decision problems (2000) (55)
Semisimple actions of mapping class groups on CAT(0) spaces (2009) (54)
The Subgroups of Direct Products of Surface Groups (2002) (53)
On the semisimplicity of polyhedral isometries (1999) (53)
Structure and finiteness properties of subdirect products of groups (2007) (52)
Determining Fuchsian groups by their finite quotients (2014) (46)
Absolute profinite rigidity and hyperbolic geometry (2018) (46)
Automorphism groups of free groups, surface groups and free abelian groups (2005) (44)
Formal language theory and the geometry of 3-manifolds (1996) (43)
Automorphisms of Automorphism Groups of Free Groups (2000) (42)
The Chabauty space of closed subgroups of the three-dimensional Heisenberg group (2007) (40)
Snowflake groups, Perron-Frobenius eigenvalues, and isoperimetric spectra (2006) (39)
On the geometry of normal forms in discrete groups (1993) (39)
Actions of automorphism groups of free groups on homology spheres and acyclic manifolds (2008) (38)
Conjugacy of Finite Subsets in Hyperbolic Groups (2005) (38)
Complexes of Groups (1999) (37)
The symmetries of outer space (2001) (37)
Combings of semidirect products and 3-manifold groups (1993) (36)
ON THE EXISTENCE OF AT PLANES IN SPACES OF NONPOSITIVE CURVATURE (1995) (34)
The quadratic isoperimetric inequality for mapping tori of free group automorphisms II: The general case (2006) (34)
Mapping class groups and outer automorphism groups of free groups are C*-simple (2003) (33)
Polynomial Dehn Functions and the Length of Asynchronously Automatic Structures (2002) (32)
Finitely Presented Subgroups of Automatic Groups and their Isoperimetric Functions (1996) (31)
Fractional isoperimetric inequalities and subgroup distortion (1996) (31)
Homomorphisms from Automorphism Groups of Free Groups (2002) (30)
Context-Free Languages of Sub-exponential Growth (2002) (29)
On the Geometry of the Automorphism Group of a Free Group (1995) (29)
On the Subgroups of Right Angled Artin Groups and Mapping Class Groups (2012) (29)
Deficiency and abelianized deficiency of some virtually free groups (2006) (29)
Infinite groups with fixed point properties (2007) (28)
Non-positive curvature and complexity for finitely presented groups (2006) (27)
ASYMPTOTIC CONES AND POLYNOMIAL ISOPERIMETRIC INEQUALITIES (1999) (27)
Normalisers in limit groups (2005) (26)
Actions of higher-rank lattices on free groups (2010) (26)
Subgroups Of Direct Products Of Elementarily Free Groups (2005) (25)
The triviality problem for profinite completions (2014) (25)
On the dimension of CAT(0) spaces where mapping class groups act (2009) (24)
Profinite rigidity and surface bundles over the circle (2016) (23)
Isoperimetric inequalities for the fundamental groups of torus bundles over the circle (1994) (23)
Profinite Rigidity, Fibering, and the Figure-Eight Knot (2015) (23)
Malnormality is undecidable in hyperbolic groups (2001) (23)
On Groups whose Geodesic Growth is Polynomial (2010) (22)
Nilpotent Completions of Groups, Grothendieck Pairs, and Four Problems of Baumslag (2012) (21)
ON THE EXISTENCE OF FLAT PLANES IN SPACES OF NON-POSITIVE CURVATURE (2010) (21)
ON THE EXISTENCE OF FLAT PLANES IN SPACES OF NON-POSITIVE CURVATURE (2010) (21)
Doubles, Finiteness Properties of Groups, and Quadratic Isoperimetric Inequalities☆☆☆ (1999) (20)
Length Functions, Curvature and the Dimension of Discrete Groups (2001) (18)
The quadratic isoperimetric inequality for mapping tori of free group automorphisms I: Positive automorphisms (2002) (18)
Controlled embeddings into groups that have no non-trivial finite quotients (1998) (17)
Decision problems and profinite completions of groups (2008) (17)
[Vscr ][Hscr ] complexes, towers and subgroups of F×F (1999) (16)
Subgroup separability in residually free groups (2007) (16)
Abelian covers of graphs and maps between outer automorphism groups of free groups (2010) (16)
A remark about actions of lattices on free groups (2001) (15)
Volume gradients and homology in towers of residually-free groups (2013) (15)
Invitations to geometry and topology (2002) (14)
Finitely presented residually free groups (2008) (14)
Finiteness properties for subgroups of GL $(n,\mathbb Z)$ (2000) (14)
Limit groups, positive-genus towers and measure-equivalence (2005) (14)
Combings of groups and the grammar of reparameterization (2003) (14)
Recognition of subgroups of direct products of hyperbolic groups (2003) (13)
On the difficulty of presenting finitely presentable groups (2010) (13)
A Remark about Combings of Groups (1993) (13)
The Dehn functions of Out(F_n) and Aut(F_n) (2010) (13)
Optimal isoperimetric inequalities for abelian-by-free groups☆ (1995) (12)
Quasiregular self-mappings of manifolds and word hyperbolic groups (2007) (12)
On the profinite rigidity of triangle groups (2020) (12)
The complexity of balanced presentations and the Andrews-Curtis conjecture (2015) (11)
Dimension of elementary amenable groups (2012) (11)
Subgroups of direct products of two limit groups (2005) (11)
Free-group automorphisms, train tracks and the beaded decomposition (2005) (11)
COFINITELY HOPFIAN GROUPS, OPEN MAPPINGS AND KNOT COMPLEMENTS (2010) (11)
Thompson ’ s Group at 40 Years Preliminary Problem List (10)
Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams (2005) (10)
Finite presentation of fibre products of metabelian groups (2003) (9)
Weak commutativity and finiteness properties of groups (2017) (9)
The rhombic dodecahedron and semisimple actions of Aut(F n ) on {\rm CAT}(0) spaces (2011) (9)
Free and fragmenting filling length (2005) (9)
Non-Positive Curvature and Group Theory (1999) (9)
Cube complexes, subgroups of mapping class groups, and nilpotent genus (2014) (8)
Invitations to Geometry and Topology, Oxford Graduate texts in Mathematics 7 (2002) (8)
A condition that prevents groups from acting nontrivially on trees (2009) (7)
Geometric and Combinatorial Group Theory (2007) (7)
On the absence of cohomological finiteness in wreath products (1998) (7)
The Schur multiplier, profinite completions and decidability (2009) (6)
Regular combings, nonpositive curvature and the quasiconvexity of abelian subgroups (1993) (6)
The conjugacy and isomorphism problems for combable groups (2002) (6)
Lectures on Geometry (2017) (6)
The virtual first Betti number of soluble groups (2014) (6)
Geometric and Cohomological Methods in Group Theory: Frontmatter (2009) (5)
Constructing presentations of subgroups of right-angled Artin groups (2007) (5)
The isomorphism problem for profinite completions of finitely presented, residually finite groups (2014) (5)
Kodaira fibrations, Kähler groups, and finiteness properties (2016) (5)
The strong profinite genus of a finitely presented group can be infinite (2014) (5)
On the Growth of Groups and Automorphisms (2005) (4)
Profinite Rigidity, Kleinian Groups, and the Cofinite Hopf Property (2021) (4)
Normalizers in Limit Groups (2005) (4)
On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups (2011) (3)
A Note on the Grammar Of Combings (2005) (3)
Actions of arithmetic groups on homology spheres and acyclic homology manifolds (2012) (3)
Direct factors of profinite completions and decidability (2008) (3)
[script V][script H] complexes, towers and subgroups of F × F (1999) (3)
The Model Spaces M κ n (1999) (2)
Combinatorial and Geometric Group Theory, Edinburgh 1993: On bounded languages and the geometry of nilpotent groups (1994) (2)
On the recognition problem for virtually special cube complexes (2014) (2)
Algorithms determining finite simple images of finitely presented groups (2017) (2)
Asymptotic invariants of infinite discrete groups (2002) (2)
Abelian covers of graphs and maps between outer automorphism groups of free groups (2011) (2)
Leighton’s theorem : Extensions, limitations and quasitrees (2020) (2)
ON THE RECOGNITION OF RIGHT-ANGLED ARTIN GROUPS (2019) (2)
PERRON-FROBENIUS EIGENVALUES, SNOWFLAKE GROUPS, AND ISOPERIMETRIC SPECTRA (2007) (1)
The isomorphism problem for profinite completions of residually finite groups (2014) (1)
Concise presentations of direct products (2017) (1)
The Subgroups of Direct Products of Surface (2002) (1)
UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS (2014) (1)
Some Basic Constructions (1999) (1)
Topological and Geometric Methods in Group Theory (2006) (1)
The homology of groups, profinite completions, and echoes of Gilbert Baumslag (2019) (1)
M κ —Polyhedral Complexes (1999) (1)
Isoperimetric and isodiametric functions of group extensions (2020) (1)
Finiteness properties of fibre products (2012) (0)
Non-positive Curvature and Geometric Structures in Group Theory (2010) (0)
Inequalities and Subgroup Distortion (1999) (0)
Simple Complexes of Groups (1999) (0)
Inequalities and Subgroup Distortion (1999) (0)
On the dif fi culty of presenting fi nitely presentable groups (2011) (0)
Determining Fuchsian groups by their finite quotients (2016) (0)
THE OPTIMAL ISOPERIMETRI C INEQUALITY FO R TORUS BUNDLE S OVER TH E CIRCLE (1996) (0)
The torsion-free rank of homology in towers of soluble pro-p groups (2017) (0)
Profinite isomorphisms and fixed-point properties (2023) (0)
Convexity and its Consequences (1999) (0)
The Cartan-Hadamard Theorem (1999) (0)
The Boundary at Infinity of a CAT(0) Space (1999) (0)
δ-Hyperbolic Spaces and Area (1999) (0)
Weak commutativity, virtually nilpotent groups, and Dehn functions (2022) (0)
Group Actions and Quasi-Isometries (1999) (0)
IV.10 Geometric and Combinatorial Group Theory (2010) (0)
ICM Satellite Conference on Geometry, Topology and Dynamics in Negative Curvature (2010) (0)
Absolute profinite rigidity and hyperbolic geometry: Supplemental Magma code (2020) (0)
The triviality problem for profinite completions (2015) (0)
ISOPERIMETRIC I NEQUALITIES F OR THE FUNDAMENTAL G ROUPS OF TORUS B UNDLES OVER THE CIRCLE (1994) (0)
Inversion is Possible in Groups with no Periodic Automorphisms (2015) (0)
Binary Subgroups of Direct Products (2022) (0)
Definitions and Characterizations of CAT(κ) Spaces (1999) (0)
Volume gradients and homology in towers of residually-free groups (2016) (0)
Word fibres in finite p-groups and pro-p groups (2016) (0)
JONE LOPEZ DE GAMIZ ZEARRA (2021) (0)
The torsion-free rank of homology in towers of soluble pro-p groups (2016) (0)
Geometric Structures in Group Theory (2021) (0)
Items with Secondary Classifications in 57–02 57–03 Historical (must Also Be Assigned at Least One Classification Number from Section 01) Items Listed Otherwise than by Author Items with Secondary Classifications in 57–06 (2003) (0)
Angles, Limits, Cones and Joins (1999) (0)
Actions of arithmetic groups on homology spheres and acyclic homology manifolds (2013) (0)
M к -Polyhedral Complexes of Bounded Curvature (1999) (0)
Groups with polynomial geodesic growth (2010) (0)
Symposium on the Geometry and Topology of Manifolds Speaker Abstracts Plenary Speakers (2015) (0)
Isometries of CAT(0) Spaces (1999) (0)
Summary and comments to my list of publications (2009) (0)
Groupoids of Local Isometries (1999) (0)
Direct products of free groups in ${{\rm{Aut}}}(F_N)$ (2022) (0)
Constructing presentations of subgroups of right-angled Artin groups (2013) (0)
Logarithms and assembly maps on Kn (Zl [G]) (2009) (0)
Algorithms determining finite simple images of finitely presented groups (2019) (0)
2 4 M ay 2 00 5 Normalizers in Limit Groups (2007) (0)
Geometric and Cohomological Methods in Group Theory: Preface (2009) (0)
More on the Geometry of M κ n (1999) (0)
The Tits Metric and Visibility Spaces (1999) (0)
LECTURES IN HONOUR OF JIM CANNON’S 60TH BIRTHDAY (2005) (0)
The Flat Torus Theorem (1999) (0)

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