Math Department Faculty
Martin Bridgeman
Professor, Assistant Chair for Graduates
Martin Bridgeman
Ph.D.
Contact
Maloney Hall 547
Telephone: 617-552-3770
Email: martin.bridgeman@bc.edu
Education
- Ph.D., Princeton University
Selected publications and preprints
- The structure and enumeration of link projections, Transactions of the American Mathematical Society, Vol. 348, No. 6, 1996
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- Bounds on Vol. increase under dehn drilling operations, Proceedings of the London Mathematical Society, Vol. 77, No. 3, 1998
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- Average curvature of convex curves in H2, Proceedings of the American Mathematical Society, Vol. 126, No. 1, 1998
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- Average bending of convex pleated planes in H3, inventiones mathematicae, Vol. 132, 1998
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- Length distortion and the hausdorff dimension of limit sets, American Journal of Mathematics, Vol. 122, 2000
co-author: Edward Taylor
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- From the boundary of the convex core to the conformal boundary, Geometrica Dedicata, Vol. 96, No. 1, 2003
co-author: Richard Canary
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- Bounds on the average bending of the convex hull of a Kleinian group, Michigan Math Journal, Vol. 51, No. 2, 2003
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- Random geodesics, In the tradition of Ahlfors and Bers, III, AMS Contemporary Math Series, Vol. 355, 2004
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- Distortion of the exponent of convergence in space, Annales Academicae Scientiarum Fennicae Mathematica, Vol. 29, 2004
co-authors: Petra Bonfert-Taylor, Edward C. Taylor
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- Bounding the bending of a hyperbolic three-manifold, Pacific Journal of Math, Vol. 218, No. 2, 2005
co-author: Richard Canary
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- Patterson-Sullivan measures and quasi-conformal deformations, Communications in Analysis and Geometry, Vol. 13, No. 3, 2005
co-author: Edward Taylor
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- Distribution of intersection lengths of a random geodesic with a geodesic lamination, Ergodic Theory and Dynamical Systems, Vol. 27, No. 4, 2007
co-author: David Dumas
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- Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms, Proceedings of the Cambridge Philosophical Society, Vol. 143, No. 1, 2007
co-authors: Petra Bonfert-Taylor, Richard Canary, Edward Taylor
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- An extension of the Weil-Petersson metric to quasi-fuchsian space, Mathematische Annalen, Vol. 341, No. 4, 2008
co-author: Edward Taylor
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- Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space, Geometry and Topology, Vol. 14, No. 2, 2010
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- Hyperbolic Volume of n-manifolds with geodesic boundary and orthospectra, Geometric and Functional Analysis, Vol. 20, No. 5, 2010
co-author: Jeremy Kahn
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- The Thurston Metric on Hyperbolic Domains and Boundaries of Convex Hulls, Geometric and Functional Analysis, Vol. 20, No. 6, 2010
co-author: Richard Canary
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- Orthospectra of geodesic laminations and dilogarithm identities on moduli space, Geometry and Topology, Vol. 15, No. 2, 2011
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- Uniformly perfect domains and convex hulls: improved bounds in a generalization of a theorem of Sullivan, Pure and Applied Mathematics Quarterly, Vol. 9, No. 1, 2013
co-author: Richard Canary
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- 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
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- Higher derivatives of length functions along earthquake deformations, Michigan Math Journal, Vol. 64, 2015
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- The pressure metric for Anosov representations, Geometric and Functional Analysis, Vol. 25, No. 4, 2015
co-authors: Richard Canary, Francois Labourie, Andres Sambarino
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- Identities on Hyperbolic Manifolds, The Handbook of Teichmuller Theory, Vol. 5, page 19-53, EMS Publishing, January 2016
co-author: Ser Peow Tan
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- An improved bound for Sullivan's convex hull theorem, Proceedings of the London Math. Society, January 2016
co-authors: Richard Canary, Andrew Yarmola
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- Renormalized volume and volume of the convex core
co-author: Richard Canary
To appear, Annales de l’Institut Fourier, 2017
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- An introduction to pressure metrics on higher Teichmüller spaces
co-authors: Richard Canary, Andrés Sambarino
To appear, Ergodic Theory and Dynamical Systems, 2017
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- Simple length rigidity for Kleinian surface groups and applications
co-author: Richard Canary
Preprint 2015
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- Simple length rigidity for Hitchin Representations
co-authors: Richard Canary, François Labourie
Preprint 2017
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- Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume
co-authors: Jeffrey Brock, Kenneth Bromberg
Preprint 2017
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