Francis Bonahon | Academic Influence

Francis Bonahon's AcademicInfluence.com Rankings

Francis Bonahon

Mathematics

#4033

World Rank

#5812

Historical Rank

Geometry

#121

World Rank

#187

Historical Rank

Measure Theory

#3941

World Rank

#4644

Historical Rank

mathematics Degrees

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Mathematics

Francis Bonahon's Degrees

PhD Mathematics Paris-Saclay University
Masters Mathematics Paris-Saclay University

Why Is Francis Bonahon Influential?

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According to Wikipedia, Francis Bonahon is a French mathematician, specializing in low-dimensional topology. Biography Bonahon received in 1972 his baccalauréat, and was accepted in 1974 into the École Normale Supérieure. He received in 1975 his maîtrise in mathematics from the University of Paris VII, and in 1979 his doctorate from the University of Paris XI under Laurence Siebenmann with thesis Involutions et fibrés de Seifert dans les variétés de dimension 3. As a postdoc he was for the academic year 1979/80 a Procter Fellow at Princeton University. In 1980 he became an attaché de recherche and in 1983 a chargé de recherche of the 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.

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Francis Bonahon's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The geometry of Teichmüller space via geodesic currents (1988) (340)
Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form (1996) (178)
Cobordism of automorphisms of surfaces (1983) (118)
Scaled Gromov hyperbolic graphs (2008) (113)
Geodesic laminations on surfaces (1998) (95)
Quantum traces for representations of surface groups in SL2(ℂ) (2010) (93)
Hyperideal polyhedra in hyperbolic 3-space (2002) (75)
Euclidean versus Hyperbolic Congestion in Idealized versus Experimental Networks (2009) (75)
The characteristic toric splitting of irreducible compact 3-orbifolds (1987) (65)
Geodesic currents on negatively curved groups (1991) (65)
Chapter 3 – Geometric Structures on 3-Manifolds* (2001) (62)
Representations of the Kauffman bracket skein algebra I: invariants and miraculous cancellations (2012) (58)
Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms (2004) (57)
A Schläfli-type formula for convex cores of hyperbolic 3-manifolds (1997) (50)
The Weil-Petersson and Thurston symplectic forms (2001) (47)
Geodesic laminations with transverse Hölder distributions (1997) (47)
Low-Dimensional Geometry (2009) (42)
Transverse Hölder distributions for geodesic laminations (1997) (42)
Parameterizing Hitchin components (2012) (39)
Low Dimensional Topology: The classification of Seifert fibred 3-orbifolds (1985) (33)
Representations of the Kauffman bracket skein algebra II: punctured surfaces (2012) (32)
Variations of the boundary geometry of $3$-dimensional hyperbolic convex cores (1997) (29)
Earthquakes on Riemann surfaces and on measured geodesic laminations (1992) (26)
Local representations of the quantum Teichmuller space (2007) (23)
Kleinian groups which are almost fuchsian (2002) (21)
HITCHIN CHARACTERS AND GEODESIC LAMINATIONS (2014) (21)
Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality (2015) (19)
The metric space of geodesic laminations on a surface: I (2003) (17)
Ribbon fibred knots, cobordism of surface diffeomorphisms, and pseudo-Anosov diffeomorphisms (1983) (17)
Kauffman brackets, character varieties, and triangulations of surfaces (2010) (15)
A Thurston boundary for infinite-dimensional Teichmüller spaces (2018) (13)
The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces (2016) (12)
Surfaces with the same marked length spectrum (1993) (12)
The Witten-Reshetikhin-Turaev representation of the Kauffman skein algebra (2013) (8)
Variation of the Liouville measure of a hyperbolic surface (2002) (7)
Load Balancing by Network Curvature Control (2011) (6)
THE WITTEN-RESHETIKHIN-TURAEV REPRESENTATION OF THE KAUFFMAN BRACKET SKEIN ALGEBRA (2016) (5)
Representations of the Kauffman skein algebra II: punctured surfaces (2012) (5)
Miraculous cancellations for quantum $SL_2$ (2017) (4)
Asymptotics of quantum invariants of surface diffeomorphisms I: conjecture and algebraic computations (2021) (2)
QUANTUM TEICHMÜLLER THEORY AND REPRESENTATIONS OF THE PURE BRAID GROUP (2008) (2)
Asymptotics of quantum invariants of surface diffeomorphisms II: The figure-eight knot complement (2022) (1)
Book Review: Subgroups of Teichm{\"u}ller modular groups (1994) (0)
A Schl Afli-type Formula for Convex Cores of Hyperbolic 3{manifolds (1997) (0)
The Farey tessellation and circle packing (2009) (0)
The 3-dimensional hyperbolic space (2009) (0)
Representations of the Kauffman bracket skein algebra I: invariants and miraculous cancellations (2015) (0)
Infinitesimal Liouville currents, cross‐ratios and intersection numbers (2010) (0)
HYPERIDEAL POLYHEDRA IN HYPERBOLIC 3-SPACE by Xiliang Bao (1998) (0)
The Collected Works of William P. Thurston with Commentary (2023) (0)
The 2-dimensional sphere (2009) (0)
The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces (2017) (0)
Miraculous cancellations for quantum $\protect \mathrm{SL}_2$ (2019) (0)
Conformal dynamics and hyperbolic geometry : conference on conformal dynamics and hyperbolic geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY, New York, NY, October 21-23, 2010 (2012) (0)
Conformal Dynamics and Hyperbolic Geometry (2012) (0)
The figure-eight knot complement (2009) (0)
Group actions and fundamental domains (2009) (0)
ec 2 00 5 REPRESENTATIONS OF THE QUANTUM TEICHMÜLLER SPACE AND INVARIANTS OF SURFACE DIFFEOMORPHISMS by Francis Bonahon (2008) (0)
Appendix. Tool kit (2009) (0)
2 General Concepts and Conjectures 2 . 1 Curvature , Traffic , Betweenness , Inertia , and Centroid (2010) (0)
Load Balancing by Network Curvature Control M. Lou E. Jonckheere F. Bonahon Y. Baryshnikov B. Krishnamachari (2010) (0)
Geometrization theorems in dimension 3 (2009) (0)
The euclidean plane (2009) (0)
The hyperbolic plane (2009) (0)
The Hyperbolic Revolution: From Topology to Geometry, and Back (2015) (0)

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