PEOPLE: Faculty
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Francis BonahonProfessor of MathematicsContact Information E-mail: fbonahon@math.usc.edu Phone: (213) 740-2390 Office: KAP 248G LINKS Personal Website Course Information |
Education
- M.A. Mathematics, University of Paris VII, 1/1975
- Thèse 3ème cycle Mathematics, University of Paris XI (Orsay), 1/1979
- Thèse d'Etat Mathematics, University of Paris XI (Orsay), 1/1985
Postdoctoral Training
- J.E. Procter Fellow, Princeton University, 1979-1980
Academic Appointment, Affiliation, and Employment History
- Professor, University of Southern California, 01/01/1989-
- Associate Professor, University of Southern California, 01/01/1987-01/01/1989
- Assistant Professor, University of Southern California, 01/01/1986-01/01/1987
- Chargé de Recherche, Centre National de la Recherche Scientifique and Universite de Paris-Sud, 01/01/1983-01/01/1986
- Attache de Recherche, Centre National de la Recherche Scientifique and Universite de Paris-Sud, 01/01/1980-01/01/1983
Description of Research
Summary Statement of Research Interests
Francis Bonahon's research is in topology and geometry, with a strong interface with complex analysis and dynamical systems. He specializes in manifolds of dimension two and three. While his early work involved low-dimensional topology and knot theory, his more recent research is centered on hyperbolic geometry and quantum topology.
Publications
Book
- Bonahon, F. (2008). Low-dimensional geometry: from euclidean surfaces to hyperbolic knots. American Mathematical Society.
Journal Article
- Bonahon, F., Liu, X. (2007). Representations of the quantum Teichmuller space, and invariants of surface diffeomorphisms. Geometry and Topology. Vol. 11, pp. 889-937.
- Bonahon, F. (2005). Kleinian groups which are almost fuchsian. J. Reine. Angew. Math./Walter de Gruyter. Vol. vol. 587, pp. p. 1-15.
- Bonahon, F., Otal, J. (2004). Lamination mesurées de plissage des variétés hyperboliques de dimension 3. Annals of Mathematics. Vol. Vol 160, pp. pp. 1013-1055.
Other
- Bonahon, F. Geometric structures on 3-manifolds, in: Handbook of geometric topology, North-Holland, Amsterdam, 2002, pp. 93-164.
- Bonahon, F. Ensembles limites et applications, Proceedings of the International Congress of Mathematicians pp. 599-608, Math. Soc. Japan, Tokyo, 1991.
Honors and Awards
- USC Raubenheimer Outstanding Senior Faculty Award, 1994
- Sloan Research Fellowship Recipient, Sloan Fellow, 1987-1989
- Recipient of National or International Prize in Discipline, Bronze Medal, Centre National de la Recherche Scientifique (France), 1985
Service to the Profession
Editorships and Editorial Boards
- Associate Editor, Journal of Knot Theory and its Ramifications, 1992-
- Associate Editor, Journal of the American Mathematical Society, 2003-2009
- Member of the Editorial Board, Annales de la Faculté des Sciences de Toulouse, 1991-2009
- Editor, Inventiones Mathematicae, 01/01/1997-12/31/2006