Math Department Faculty

Martin Bridgeman

Professor, Assistant Chair for Graduates

Selected publications and preprints

  • The structure and enumeration of link projections,聽 Transactions of the American Mathematical Society, Vol. 348, No. 6, 1996
    Download:
  • Bounds on Vol. increase under dehn drilling operations, Proceedings of the London Mathematical Society, Vol. 77, No. 3, 1998
    Download:
  • Average curvature of convex curves in H2, Proceedings of the American Mathematical Society, Vol. 126, No. 1, 1998
    Download:
  • Average bending of convex pleated planes in H3, inventiones mathematicae, Vol. 132,聽 1998
    Download:
  • Length distortion and the hausdorff dimension of limit sets, American Journal of Mathematics, Vol. 122, 2000
    co-author: Edward Taylor
    Download:
  • From the boundary of the convex core to the conformal boundary, Geometrica Dedicata, Vol. 96, No. 1, 2003
    co-author: Richard Canary
    Download:
  • Bounds on the average bending of the convex hull of a Kleinian group, Michigan Math Journal, Vol. 51, No. 2, 2003
    Download:
  • Random geodesics, In the tradition of Ahlfors聽 and Bers, III, AMS Contemporary Math Series, Vol. 355, 2004
    Download:
  • Distortion of the exponent of convergence in space, Annales Academicae Scientiarum Fennicae Mathematica, Vol. 29, 2004
    co-authors: Petra Bonfert-Taylor, Edward聽C.聽Taylor
    Download:
  • Bounding the bending of a hyperbolic three-manifold, Pacific Journal of Math, Vol. 218, No. 2, 2005
    co-author: Richard Canary
    Download:
  • Patterson-Sullivan measures and quasi-conformal deformations, Communications in Analysis and Geometry, Vol. 13, No. 3, 2005
    co-author: Edward Taylor
    Download:
  • Distribution of intersection lengths聽 of a random geodesic with a geodesic lamination, Ergodic Theory and Dynamical Systems, Vol. 27,聽 No. 4, 2007
    co-author: David Dumas
    Download:
  • Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms,聽 Proceedings of the Cambridge Philosophical Society, Vol. 143, No. 1, 2007
    co-authors: Petra Bonfert-Taylor, Richard Canary,聽 Edward Taylor
    Download:
  • An extension of the Weil-Petersson metric to quasi-fuchsian space, Mathematische Annalen, Vol. 341, No. 4, 2008
    co-author: Edward Taylor
    Download:
  • Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space, Geometry and Topology,聽 Vol. 14,聽 No. 2, 2010
    Download:
  • Hyperbolic Volume of n-manifolds with geodesic boundary and orthospectra, Geometric and Functional Analysis, Vol. 20, No. 5, 2010
    co-author: Jeremy Kahn
    Download:
  • The Thurston Metric on Hyperbolic Domains and Boundaries of Convex Hulls, Geometric and Functional Analysis, Vol. 20, No. 6, 2010
    co-author: Richard Canary
    Download:
  • Orthospectra of geodesic laminations and dilogarithm identities on moduli space, Geometry and Topology,聽 Vol. 15, No. 2, 2011
    Download:
  • Uniformly perfect domains and convex hulls: improved bounds in a generalization of a theorem of Sullivan,聽 Pure and Applied Mathematics Quarterly, Vol. 9, No. 1, 2013
    co-author: Richard Canary
    Download:
  • Moments of the boundary hitting function for the geodesic flow on a hyperbolic manifold, Geometry and Topology, Vol. 18, No. 1, 2014
    co-author: Ser Peow Tan
    Download:
  • Higher derivatives of length functions along earthquake deformations, Michigan Math Journal,聽 Vol. 64, 2015
    Download:
  • The pressure metric for Anosov representations, Geometric and Functional Analysis, Vol. 25, No. 4, 2015
    co-authors: Richard Canary, Francois Labourie, Andres Sambarino
    Download:
  • Identities on Hyperbolic Manifolds, The Handbook of Teichmuller Theory, Vol. 5, page 19-53, EMS Publishing, January 2016
    co-author: Ser Peow Tan
    Download:
  • An improved bound for Sullivan's convex hull theorem, Proceedings of the London Math. Society, January 2016
    co-authors: Richard Canary, Andrew Yarmola
    Download:
  • Renormalized volume and volume of the convex core
    co-author: Richard Canary
    To appear, Annales de l鈥橧nstitut Fourier, 2017
    Download:
  • An introduction to pressure metrics on higher Teichm眉ller spaces
    co-authors:聽 Richard Canary, Andr茅s Sambarino
    To appear, Ergodic Theory and Dynamical Systems, 2017
    Download:
  • Simple length rigidity for Kleinian surface groups and applications
    co-author:聽 Richard Canary
    Preprint 2015
    Download:
  • Simple length rigidity for Hitchin Representations
    co-authors:聽 Richard Canary, Fran莽ois Labourie
    Preprint 2017
    Download:
  • Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume
    co-authors:聽 Jeffrey Brock, Kenneth Bromberg
    Preprint 2017
    Download: