Prof. Martin Bridson FRS | Mathematical Institute

Prof. Martin Bridson FRS

MA, MS, PhD

Head of Department

Academic Faculty

Whitehead Professor of Pure Mathematics

Contact Form

Personal Website:

http://people.maths.ox.ac.uk/bridson

PA - +44 1865 273530; Other - +44 1865 273528

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, MR; Häfliger, A;
ISBN-13: 9783540643241 (1999)

Recent Books:

Geometric and cohomological methods in group theory

ISBN-13: 978-0-521-75724-9 (2009)

Invitations to geometry and topology

ISBN-10: 0-19-850772-0 (2002)

Highlighted Publications:

The triviality problem for profinite completions
Bridson, MR; Wilton, H;
Inventiones Mathematicae issue 2 volume 202 page 839-874 (24 February 2015)

Actions of higher-rank lattices on free groups
Bridson, MR; Wade, RD;
COMPOSITIO MATHEMATICA issue 5 volume 147 page 1573-1580 (September 2011) Full text available

Actions of automorphism groups of free groups on homology spheres and acyclic manifolds
Bridson, MR; Vogtmann, K;
Commentarii Mathematici Helvetici. A Journal of the Swiss Mathematical Society volume 86 page 73-90 (2011)

The quadratic isoperimetric inequality for mapping tori of free group automorphisms
Bridson, MR; Groves, D;
Memoirs of the American Mathematical Society volume 203 page xii+152-xii+152 (2010)

Infinite groups with fixed point properties
Arzhantseva, G; Bridson, MR; Januszkiewicz, T; Leary, IJ; Minasyan, A; Swi catkowski, J;
Geometry & Topology volume 13 page 1229-1263 (2009)

Recent Publications:

Undecidability and the developability of permutoids and rigid pseudogroups
Bridson, MR; Wilton, H;
Forum of Mathematics, Sigma (20 March 2017) Full text available

INVERSION IS POSSIBLE IN GROUPS WITH NO PERIODIC AUTOMORPHISMS
Bridson, MR; Short, H;
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY issue 1 volume 59 page 11-16 (February 2016) Full text available

THE VIRTUAL FIRST BETTI NUMBER OF SOLUBLE GROUPS
Bridson, MR; Kochloukova, DH;
PACIFIC JOURNAL OF MATHEMATICS issue 2 volume 274 page 497-510 (April 2015) Full text available

Constructing presentations of subgroups of right-angled Artin groups
Bridson, MR; Tweedale, M;
Geometriae Dedicata issue 1 volume 169 page 1-14 (1 April 2014)

Actions of arithmetic groups on homology spheres and acyclic homology manifolds
Bridson, MR; Grunewald, F; Vogtmann, K;
Mathematische Zeitschrift issue 1-2 volume 276 page 387-395 (1 February 2014)

Research Interests:

Geometric Group Theory

Geometry of non-positively curved spaces

Low-dimensional topology

Prizes, Awards, and Scholarships:

Abel Prize Lecturer 2009

Fellow of the American Mathematical Society 2015

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

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.; 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)

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