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Prof. Martin Bridson FRS

MA, MS, PhD
President, Clay Mathematics Institute
Status
Academic Faculty

Whitehead Professor of Pure Mathematics 

Contact form
http://people.maths.ox.ac.uk/bridson
PA - +44 1865 273530; Other - +44 1865 273528
ORCID iD
https://orcid.org/0000-0002-0080-9059
Research groups
  • Topology
  • Algebra
  • Geometry

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted books
Metric Spaces of Non-Positive Curvature Bridson, M Haefliger, A (1999)
Highlighted publications
ABSOLUTE PROFINITE RIGIDITY AND HYPERBOLIC GEOMETRY
BRIDSON, M McReynolds, D Reid, A Spitler, R Annals of Mathematics (09 Nov 2020)
Algorithms determining finite simple images of finitely presented groups
Bridson, M Evans, D Liebeck, M Segal, D Inventiones Mathematicae volume 218 issue 2 623-648 (30 May 2019)
The complexity of balanced presentations and the Andrews-Curtis conjecture
Bridson, M (01 Oct 2016)
The triviality problem for profinite completions
Bridson, M Wilton, H Inventiones Mathematicae volume 202 issue 2 839-874 (24 Feb 2015)
The strong profinite genus of a finitely presented group can be infinite
Bridson, M (16 Jan 2014) http://arxiv.org/abs/1401.4084v2
Research interests

Geometric Group Theory

Geometry of non-positively curved spaces

Low-dimensional topology

Major / recent publications

 

Bridson, Martin R.; Haefliger, André Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften  319. Springer-Verlag, Berlin, 1999. xxii+643 pp. ISBN: 3-540-64324- MR1744486 (2000k:53038)

 Bridson, Martin R. Non-positive curvature and complexity for finitely presented groups. International Congress of Mathematicians. Vol. II, 961--987, Eur. Math. Soc., Zürich, 2006. MR2275631 (2008a:20071)

Bridson, Martin R.; Grunewald, Fritz J. Grothendieck's problems concerning profinite completions and representations of groups. Ann. of Math. (2) 160 (2004), no. 1, 359--37. MR2119723 (2005k:20069)

Bridson, Martin R.; Howie, James; Miller, Charles F., III; Short, Hamish; Subgroups of direct products of limits groups,  Ann. of Math. (2), 170 (2009),  no. 3, 1447–1467. MR2600879

Bridson, Martin R.; Evans, David M.; Liebeck, Martin W.; Segal, Dan; Algorithms determining finite simple images of finitely presented groups. Invent. Math. 218 (2019), no. 2, 623–648. MR4011707

Bridson, Martin R.; Wilton, Henry. The triviality problem for profinite completions. Invent. Math. 202 (2015), no. 2, 839–874. MR3418245

Bridson, Martin R.; Groves, Daniel. The quadratic isoperimetric inequality for mapping tori of free group automorphisms. Mem. Amer. Math. Soc. 203 (2010), no. 955. MR2590896
 

Alonso, Juan M.; Bridson, Martin R. Semihyperbolic groups. Proc. London Math. Soc. (3) 70 (1995), no. 1, 56--114. MR1300841 (95j:20033) 

Bridson, Martin R. Fractional isoperimetric inequalities and subgroup distortion. J. Amer. Math. Soc. 12 (1999), no. 4, 1103--1118.  MR1678924 (2001a:20062)

Bridson, Martin R. Geodesics and curvature in metric simplicial complexes. Group theory from a geometrical viewpoint (Trieste, 1990), 373--463, World Sci. Publ., River Edge, NJ, 1991.  MR1170372 (94c:57040)

Brady, N.; Bridson, M. R. There is only one gap in the isoperimetric spectrum. Geom. Funct. Anal. 10 (2000), no. 5, 1053--1070. MR1800063 (2001j:20046)

Bridson, M. R.; Gersten, S. M. The optimal isoperimetric inequality for torus bundles over the circle. Quart. J. Math. Oxford Ser. (2) 47 (1996), no. 185, 1--23. MR1380947 (97c:20047)

 

Recent books
Geometric and cohomological methods in group theory (2009)
Invitations to geometry and topology (2002)
Recent publications
Leighton's Theorem: extensions, limitations, and quasitrees
Bridson, M Shepherd, S Algebraic and Geometric Topology volume 22 issue 2 881-917 (03 Aug 2022)
Profinite rigidity, Kleinian groups, and the cofinite Hopf property
Bridson, M Reid, A Michigan Mathematical Journal volume 72 25-49 (02 Aug 2022)
Concise presentations of direct products
Bridson, M Proceedings of the American Mathematical Society volume 150 1361-1368 (24 Jan 2022)
On the profinite rigidity of triangle groups
Bridson, M McReynolds, B Reid, A Spitler, R Bulletin of the London Mathematical Society volume 53 issue 6 1849-1862 (21 Sep 2021)
Leighton's theorem: Extensions, limitations, and quasitrees
Bridson, M Shepherd, S math arXiv (08 Sep 2020)
Prizes, awards, and scholarships

2020 Steele Prize for Mathematical Exposition (with Andre Haefliger)

Fellow of the Royal Society 2016

Fellow of the American Mathematical Society 2015

Abel Prize Lecturer 2009

EPSRC Senior Fellowship 2007-12

Invited Speaker, International Congress of Mathematicians, Madrid 2006

Clay Senior Scholar in Residence, PCMI, 2012

Royal Society Wolfson Research Merit Award 2012

Britton Lectures 2012

Erwin Schrodinger Lecture 2011

Marker Lectures 2009

London Mathematical Society Whitehead Prize 1999

Forder Lecturer 2005

EPSRC Advanced Fellowship 1997-2002

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