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Francis Bonahon

Professor of Mathematics

Contact Information
E-mail: fbonahon@math.usc.edu
Phone: (213) 740-1717
Office: KAP 104

LINKS
Curriculum Vitae
Personal Website
Course Information
 

Education

Thèse d'Etat Mathematics, University of Paris XI (Orsay), 1/1985
Thèse 3ème cycle Mathematics, University of Paris XI (Orsay), 1/1979
M.A. Mathematics, University of Paris VII, 1/1975
 

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. (2009). 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

Fellow (or Equivalent) of National Society in Discipline, Fellow of the American Mathematical Society, 2012-  
USC Raubenheimer Outstanding Senior Faculty Award, 1994  
NIH/NSF Career Development Award, Presidential Young Investigator, 1989-1994  
Recipient of National or International Prize in Discipline, Invited Speaker, International Congress of Mathematicians, 1990  
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 University

Administrative Appointments

Chair, 08/16/2011-08/15/2014  
 

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  
 
 
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