Francis Bonahon

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Francis Bonahon, Oberwolfach 1987

Francis Bonahon (9 September 1955, Tarbes) is a French mathematician, specializing in low-dimensional topology.

Biography

Bonahon received in 1972 his

CNRS. In 1985 he received his habilitation from the University of Paris XI under Siebenmann with thesis Geometric structures on 3-manifolds and applications. Bonahon became in 1986 an assistant professor, in 1988 an associate professor, and in 1989 a full professor at the University of Southern California in Los Angeles.[2]

He was a visiting professor in 1990 at the

MSRI.[2]

Bonahon's research deals with three-dimensional topology, knot theory, surface diffeomorphisms, hyperbolic geometry, and Kleinian groups.

He received in 1985 a bronze medal from

CNRS and from 1989 to 1994 a Presidential Young Investigator Award. From 1987 to 1989 he was a Sloan Research Fellow. In 1990 he was an Invited Speaker with talk Ensembles limites et applications at the ICM in Kyoto. He was elected a Fellow of American Mathematical Society
in 2012.

His doctoral students include Frédéric Paulin.

Selected publications

  • Low dimensional geometry: from euclidean surfaces to hyperbolic knots. Student Mathematical Library, American Mathematical Society 2009.
    ISBN 978-0-8218-4816-6
  • Geodesic laminations on surfaces, in M. Lyubich, John Milnor, Yair Minsky (eds.) Laminations and Foliations in Dynamics, Geometry and Topology, Contemporary Mathematics 269, 2001, 1–38.
  • Geometric Structures on 3-manifolds, in
    R. J. Daverman
    , R. B. Sher (eds.) Handbook of Geometric Topology, North Holland 2002, pp. 93–164.
  • as editor with Robert Devaney, Frederick Gardiner, and Dragomir Saric: Conformal Dynamics and Hyperbolic Geometry, Contemporary Mathematics 573, AMS, 2012
  • Difféotopies des espaces lenticulaires, Topology 22, 1983, 305–314
  • Cobordism of automorphism of surfaces, Annales ENS, 16, 1983, 237–270
  • with Laurence Siebenmann: The classification of Seifert fibered 3-orbifolds, in R. Fenn (ed.) Low Dimensional Topology, Cambridge University Press, 1985, pp. 19–85
  • Bouts des variétés hyperboliques de dimension 3, Annals of Mathematics, vol. 124, 1986, pp. 71–158
    doi:10.2307/1971388
  • The geometry of Teichmüller space via geodesic currents, Inventiones Mathematicae, vol. 92, 1988, 139–162
  • Earthquakes on
    doi:10.1090/S0002-9947-1992-1049611-3
  • Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form. Ann. Fac. Sci. Toulouse Math. (6) 5 (1996), no. 2, 233–297.
  • with Jean-Pierre Otal: Laminations mesurées de plissage des variétés hyperboliques de dimension 3, Annals of Mathematics 113, 2004, 1013–1055.
    JSTOR 3597331
  • Kleinian groups which are almost fuchsian, J. Reine. Angew. Mathematik, vol. 587, 2005, pp. 1–15 arXiv.org preprint
  • with X. Liu Representations of the quantum Teichmüller space, and invariants of surface diffeomorphisms, Geometry and Topology, vol. 11, 2007, pp. 889–937. arXiv.org preprint
  • with Guillaume Dreyer: Parameterizing Hitchin components. Duke Math. J. 163 (2014), no. 15, 2935–2975. arXiv.org preprint
  • with Helen Wong: Representations of the Kauffman bracket skein algebra I: invariants and miraculous cancellations. Invent. Math. 204 (2016), no. 1, 195–243. arXiv.org preprint

References

  1. ^ Francis Bonahon at the Mathematics Genealogy Project
  2. ^ a b "C.V., Francis Bonahon" (PDF).

External links

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