Status:
Whitehead Professor of Pure Mathematics
Personal website:
PA - +44 1865 273530; Other - +44 1865 273528
ORCID iD:
https://orcid.org/0000-0002-0080-9059
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Books:
Metric Spaces of Non-Positive Curvature
ISBN-13: 9783642083990
(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:
ABSOLUTE PROFINITE RIGIDITY AND HYPERBOLIC GEOMETRY
Annals of Mathematics
(9 November 2020)
Algorithms determining finite simple images of finitely presented groups
Inventiones Mathematicae
issue 2
volume 218
page 623-648
(30 May 2019)
The complexity of balanced presentations and the Andrews-Curtis conjecture
(1 October 2016)
The triviality problem for profinite completions
Inventiones Mathematicae
issue 2
volume 202
page 839-874
(24 February 2015)
Actions of higher-rank lattices on free groups
COMPOSITIO MATHEMATICA
issue 5
volume 147
page 1573-1580
(September 2011)
Full text available
Recent Publications:
Leighton's theorem: Extensions, limitations, and quasitrees
math arXiv
(8 September 2020)
2020 Leroy P. Steele Prizes
Notices of the American Mathematical Society
issue 4
volume 67
page 563-567
(1 April 2020)
The homology of groups, profinite completions, and echoes of Gilbert Baumslag
Elementary Theory of Groups and Group Rings, and Related topics
page 11-28
(10 February 2020)
Isomperimetric and isodiametric functions of group extensions
Elementary Theory of Groups and Group Rings and Related Topics
(10 February 2020)
Semihyperbolicity
Beyond Hyperbolicity
page 25-64
(22 June 2019)
Research interests:
Geometric Group Theory
Geometry of non-positively curved spaces
Low-dimensional topology
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
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)