Francis Bonahon

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Francis Bonahon (born September 9, 1955 in Tarbes ) is a French mathematician who deals with low-dimensional topology.

Francis Bonahon, Oberwolfach 1987

Life

After completing his baccalaureate in 1972, Bonahon studied mathematics at the École normal supérieure . In 1975 he received his diploma (Maitrise) in mathematics from the University of Paris VII . He received his doctorate in 1979 under Laurence Siebenmann at the University of Paris XI in Orsay (Thèse de Troisième Cycle: Involutions et fibers de Seifert dans les variétés de dimension 3 ). As a post-doctoral student , he was a Procter Fellow at Princeton University in 1979/80 . In 1980 he became Attaché des Recherches and in 1983 Chargé des Recherches of the CNRS . In 1985 he completed his habilitation with Siebenmann at the University of Paris XI ( Geometric structures on 3-manifolds and applications ). In 1986 he became Assistant Professor and in 1989 Professor at the University of Southern California in Los Angeles .

In 1990 he was visiting professor at the University of California, Davis , in 1996 at the Center Émile Borel and IHES , in 1997 at Caltech and in 2000 at IHES.

Bonahon deals with three-dimensional topology , knot theory, surface diffeomorphisms, hyperbolic geometry and Klein groups .

In 1985 he received the bronze medal of the CNRS and from 1989 to 1994 a Presidential Young Investigator Award. From 1987 to 1989 he was a Sloan Research Fellow . He is a fellow of the American Mathematical Society . He was invited speaker at the 1990 International Mathematicians Congress in Kyoto ( Ensembles limites et applications ).

Frédéric Paulin is one of his PhD students .

Fonts

Books and reviews

  • 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 (editor) Laminations and Foliations in Dynamics, Geometry and Topology , Contemporary Mathematics 269, 2001, 1-38.
  • Geometric Structures on 3-manifolds , in R. Daverman, R. Sher (editors) Handbook of Geometric Topology , North Holland 2002, pp. 93-164.
  • Editor with Robert Devaney , Frederick Gardiner, Dragomir Saric: Conformal Dynamics and Hyperbolic Geometry , Contemporary Mathematics 573, AMS, 2012

Scientific work (selection)

  • Difféotopies des espaces lenticulaires , Topology 22 (1983), 305-314.
  • Cobordism of automorphism of surfaces , Annales ENS, 16 (1983), 237-270. numdam
  • with Laurence Siebenmann: The classification of Seifert fibered 3-orbifolds , in R. Fenn (editor): Low Dimensional Topology , Cambridge University Press (1985), 19–85.
  • Bouts des variétés hyperboliques de dimension 3 , Annals of Mathematics 124 (1986), 71-158.
  • The geometry of Teichmüller space via geodesic currents , Invent. Math. 92: 139-162 (1988).
  • 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.
  • Kleinian groups which are almost fuchsian , J. Reine. Angew. Math. 587: 1-15 (2005).
  • with X. Liu: Representations of the quantum Teichmüller space, and invariants of surface diffeomorphisms , Geom. Topol. 11: 889-937 (2007).
  • with Guillaume Dreyer: Parameterizing Hitchin components. Duke Math. J. 163 (2014), no.15, 2935-2975.
  • with Helen Wong: Representations of the Kauffman bracket skein algebra I: invariants and miraculous cancellations. Invent. Math. 204 (2016), no.1, 195–243.

See also

Web links

Individual evidence

  1. ↑ Francis Bonahon in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Bonahon, Francis
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH September 9, 1955
PLACE OF BIRTH Tarbes