1 CURRICULUM VITÆ FRANCIS BONAHON Department of Mathematics Home address: University of Southern California 1400 S. Third Avenue Los Angeles, CA Arcadia, CA Telephone: (213) Telephone: (626) (213) Web page: Born: September 9, 1955, Tarbes, France Citizenship: French, U.S. Permanent Resident Education: 1972 Baccalauréat (final exam of high school) Maîtrise de Mathématiques, University of Paris VII Thèse de Troisième Cycle, University of Paris XI. Advisor: L.C. Siebenmann Dissertation: "Involutions and Seifert fiber bundles in 3-manifolds." 1985 Thèse d'etat, University of Paris XI. Advisor: L.C. Siebenmann Dissertation: "Geometric structures on 3-manifolds and applications." Experience: Professor of Mathematics, University of Southern California Associate Professor of Mathematics, University of Southern California Assistant Professor of Mathematics, University of Southern California "Chargé de Recherche", Centre National de la Recherche Scientifique "Attaché de Recherche", Centre National de la Recherche Scientifique. Visiting Positions: J.E. Procter Fellow, Princeton University. Spring 90 Visiting Professor, University of California at Davis. Spring 96 Centre Émile Borel & Institut des Hautes Études Scientifiques, France. Spring 97 Visiting Associate, California Institute of Technology Fall 00 Visitor, Institut des Hautes Études Scientifiques. Jan. 11 Headly House Distinguished Visitor-in-Residence, Carleton College. Spring 15 Simons Visiting Professor, Mathematical Sciences Research Institute, Berkeley
2 Research interests: 3-dimensional manifolds, knot theory, hyperbolic geometry, Kleinian groups, quantum topology. Honors: Student at the Ecole Normale Supérieure of Paris Bronze medal of the Centre National de la Recherche Scientifique Fellow of the Alfred P. Sloan Foundation Presidential Young Investigator (National Science Foundation) Invited 45 minute address, International Congress of Mathematicians, Kyoto Alfred S. Raubenheimer Distinguished Faculty Award (USC) 2010 Teaching and Mentoring Award Nominee, USC Parents Association Fellow of the American Mathematical Society (Inaugural Class) Simons Research Fellow (Simons Foundation) Research Grants: National Science Foundation DMS : Classical and Quantum Homomorphisms from Discrete Groups to Lie Groups, PI: Francis Bonahon, Award Amount: $313, Simons Foundation grant : Classical and Quantum Geometry in Low Dimensions, PI: Francis Bonahon, Award Amount: $132, National Science Foundation DMS : Character Varieties of Surfaces: Classical and Quantum Aspects, PI: Francis Bonahon, Award Amount: $171, National Science Foundation CNS : NetSE: Small: Load Balancing by Network Curvature Control, PI: Edmond Jonckheere, Co-PIs: Francis Bonahon, Bhaskar Krishnamachari, Award Amount: $499, National Science Foundation DMS (5-year grant): Classical and Quantum Hyperbolic Geometry, PI: Francis Bonahon, Award Amount: $512, National Science Foundation DMS (5-year grant): Low-dimensional Topology and Geometry, PI: Francis Bonahon, Award Amount: $384, National Science Foundation DMS : Hyperbolic Geometry, PI: Francis Bonahon, Award Amount: $89, National Science Foundation DMS : Geometry of Hyperbolic 3- Dimensional Manifolds, PI: Francis Bonahon, Award Amount: $95, National Science Foundation DMS : Geometry of Hyperbolic 3- Manifolds, PI: Francis Bonahon, Award Amount: $92, National Science Foundation DMS : Limit Sets of Kleinian Groups and Hyperbolic Groups, PI: Francis Bonahon, Award Amount: $57, National Science Foundation DMS : Presidential Young Investigator Award, PI: Francis Bonahon; Award Amount: $124, Alfred P. Sloan Foundation #BR-2747: Sloan Research Fellowship, PI: Francis Bonahon, Award Amount: $30,000.
3 National Science Foundation DMS : The Geometry of Kleinian Groups and of Teichmüller Space, PI: Francis Bonahon, Award Amount: $67,000. Editorial boards: Journal of the American Mathematical Society ( ) Inventiones Mathematicae ( ) Journal of Knot Theory and its Ramifications (1992- ) Annales Scientifiques de la Faculté des Sciences de Toulouse ( ) Conferences organized: Nov. 88 Special session at AMS regional meeting, Claremont, California May 92 Topology conference, Knoxville, Tennessee Nov. 92 Special session at AMS regional meeting, USC. July 94 Geometry conference, Lyon, France (member Scientific Committee) Spring 96 Special semester on low-dimensional topology and geometry (and three satellite workshops), Centre Émile Borel, Institut Henri Poincaré, France. June 99 Topology conference, Orsay, France. Aug. 02 Topology conference, satellite of the International Congress of Mathematicians, Xi'an, China (member Scientific Committee). Apr. 04 Special session at AMS regional meeting, USC. June 08 Mathematical Research Communities program, Snowbird, Utah. June 10 Conference on quantum hyperbolic geometry (scientific committee), Centre International de Rencontres Mathématiques, Luminy, France. Aug. 10 Geometry and Topology Conference, satellite of the International Congress of Mathematicians (Scientific Committee), Bangalore, India. Oct. 10 Conference in honor of Linda Keen (Scientific Committee), Graduate Center, New York. Nov. 11 Workshop on the geometry of large networks, American Institute of Mathematics, Palo Alto. Sept. 12 Hyperbolic Geometry and Teichmüller Theory (Scientific Committee), Hunter College, New York. June 13 Low-dimensional Topology and Geometry in Toulouse, Toulouse, France. Service: University of Southern California: Internal Academic Review Committee for the Department of Linguistics, member, Wonderland Award, USC Libraries, judge 2013, USC Dornsife College of Letters, Arts and Sciences: Division Personnel Committee, member , Raubenheimer Award Selection Committee, member 1995, 1998, 1999, 2000.
4 USC Department of Mathematics: Department Chair, Department Acting Chair, Department Associate Chair, and head of the Core Math Section, Department Graduate Vice-Chair, Department Search Committee, chair , , member , , , , Department Committee on Merit, Promotion and Tenure, member , , chair , Faculty Load Assessment Committee Department Chair Search Committee, member 1995, 1998, chair 2001, American Mathematical Society: Council of the AMS, member-at-large, Committee on Education, member, Committee on Human Rights, member, Senior Mentor in the Mathematical Research Communities mentoring program, subprogram on Low-dimensional topology and Teichmüller theory, Mathematical Association of America: Program Board, Southern California and Nevada Section, member , chair 2005 Pacific Journal of Mathematics Board of Governors, National Science Foundation Grant proposal evaluation panels 2005 (2 panels), 2007, 2010, 2012, Graduate students: Frédéric Paulin, PhD 1987, Professor of Mathematics, Université de Paris-Sud, Orsay, France. Sassan Mohseni, PhD 1992, Senior Software Design Engineer, VeriFone, Tampa, FL. Xiliang Bao, PhD 1998, Computer Associates Inc., Carlsbad, CA. Yixing Ruan, PhD 2000, Principal Engineer, Cisco Systems, San Jose, CA. Xiaodong Zhu, PhD 2000, Software Engineer, Juniper Networks, Sunnyvale, CA Yasar Sözen, PhD 2000, Professor of Mathematics, Hacettepe University, Ankara, Turkey. Xiaobo Liu, PhD 2005, Vice President, Bank of America, New York City. Hua Bai, PhD 2006, Visiting Assistant Professor, DeVry University, Anaheim, CA. François Guéritaud, PhD 2006, Permanent Researcher, Centre National de la Recherche Scientifique and Université de Lille 1, France. Chris Hiatt, PhD 2007, Associate Professor of Mathematics, University of Texas of the Permian Basin, Odessa, TX. Julien Roger, PhD 2010, postdoctoral fellow, University of Paris 11. Guillaume Dreyer, PhD 2012, Notre Dame Instructor, University of Notre Dame.
5 Nurdin Takenov, current, USC. Giuseppe Martone, USC. Postdocs supervised: Sergio Fenley ( ), Professor, Florida State University. Robert Meyerhoff ( ), Professor, Boston College. Eleanor Rieffel ( ), Staff Scientists, Ames NASA Research Center. Chikako Mese ( ), Professor, Johns Hopkins University. Martin Bridgeman ( ), Professor, Boston College. Dragomir Saric ( ), CUNY Queens College. Ilesanmi Adeboye ( ), Assistant Professor, Wesleyan University. Hua Bai ( ), Instructor, De Vry University. Qingtao Chen ( ), Senior Postdoc, International Center for Theoretical Physics, Trieste. Dmytro Cheboratov ( ), Staff Scientist, International Rice Research Institute, Manilla.
6 LIST OF PUBLICATIONS of Francis Bonahon Books and monographs: 1. Involutions et fibrés de Seifert dans les variétés de dimension trois, Thèse de 3ème cycle, Université de Paris-Sud, Orsay, Structures géométriques sur les variétés de dimension 3 et applications, Thèse d Etat, Université de Paris-Sud, Orsay, Low-dimensional geometry: from euclidean surfaces to hyperbolic knots, Student Mathematical Library, American Mathematical Society, New geometric splittings of classical knots, and the classification and symmetries of arborescent knots (with L.C. Siebenmann), submitted for publication (365 pages), available at Books edited: 1. Conformal dynamics and hyperbolic geometry (edited with Robert Devaney, Frederick Gardiner and Dragomir Saric), Contemporary Mathematics 573, American Mathematical Society, Research articles: 1. Cobordisme des difféomorphismes de surfaces, C.R. Acad. Sc. Paris 290 (1980), Cobordism of automorphisms of surfaces, Ann. Scient. Ec. Norm. Sup. 16 (1983), Ribbon fibred knots, cobordism of surface diffeomorphisms, and pseudo-anosov diffeomorphisms, Math. Proc. Camb. Phil. Soc. 94 (1983), Difféotopies des espaces lenticulaires, Topology 22 (1983), Scindements de Heegaard des espaces lenticulaires (with J.-P. Otal), C.R. Acad. Sc. Paris 294 (1982), Scindements de Heegaard des espaces lenticulaires (with J.-P. Otal), Ann. Scient. Ec. Norm. Sup. 16 (1983), The classification of Seifert fibred 3-orbifolds (with L.C. Siebenmann), in Low Dimensional Topology, R. Fenn ed., Cambridge University Press (1985), Bouts des variétés hyperboliques de dimension 3, Annals of Math. 124 (1986), The characteristic toric splitting of irreducible compact 3-orbifolds (with L. C. Siebenmann), Math. Ann. 278 (1987), Variétés hyperboliques à géodésiques arbitrairement courtes (with J.-P. Otal), Bull. London Math. Soc. 20 (1988), The geometry of Teichmüller space via geodesic currents, Invent. Math. 92 (1988),
7 12. Earthquakes on Riemann surfaces and measured laminations, Trans. Amer. Math. Soc. 330 (1992), Geodesic currents on negatively curved groups, in: Arboreal Group Theory (R. Alperin ed.), Springer-Verlag, 1991, Ensembles limites et applications, in Proceedings of the International Congress of Mathematicians, Kyoto 1990, Springer Verlag, 1991, Surfaces with the same marked length spectrum, Top. Appl. 50 (1993), Geodesic laminations with transverse Hölder distributions, Ann. Scient. Ec. Norm. Sup. 30 (1997), Transverse Hölder distributions for geodesic laminations, Topology 36 (1997), Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form, Ann. Fac. Sci. Toulouse 5 (1996), Variations of the boundary geometry of 3-dimensional hyperbolic convex cores, J. Differential Geometry 50 (1998), A Schläfli-type formula for convex cores of hyperbolic 3-manifolds, J. Differential Geometry 50 (1998), The Weil-Petersson and Thurston symplectic forms (with Y. Sozen), Duke Math. J. 108 (2001), Geodesic laminations on surfaces, in: Laminations and Foliations in Dynamics, Geometry and Topology (M. Lyubich, J.W. Milnor, Y.N. Minsky eds.), Contemporary Mathematics vol. 269, American Math. Soc., 2001, Geometric structures on 3-manifolds, in: Handbook of Geometric Topology, (R. Daverman, R. Sher eds.), North Holland (2002), Hyperideal polyhedra in hyperbolic 3-space (with X. Bao), Bull. Soc. Math. France 130 (2002), Variation of the Liouville measure of a hyperbolic surface (with Y. Sozen), Ergodic Th. Dyn. Syst. 23 (2003), The metric space of geodesic laminations on a surface I. (with Xiaodong Zhu), Geom. Topol. 8 (2004) Laminations mesurées de plissage des variétés hyperboliques de dimension 3 (with J.- P. Otal), Annals of Mathematics 113 (2004), Kleinian groups which are almost fuchsian, J. Reine. Angew. Math. 287 (2005), The metric space of geodesic laminations on a surface II: small surfaces. (with Xiaodong Zhu), Geom. Topol. Monogr. 7 (2004), Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms (with Xiaobo Liu), Geom. Topol. 11 (2007), Scaled Gromov hyperbolic graphs, (with Edmond Jonckheere and Poonsuk Lohsoonthorn) J. Graph Theory 57 (2008), Quantum Teichmüller theory and representations of the pure braid group, Comm. Contemp. Math. 10 (2008), Euclidean versus hyperbolic congestion in idealized versus experimental networks, (with Edmond Jonckheere, Mingji Lou, Yuliy Baryshnikov), Internet Math. 7 (2011), Load balancing by network curvature control, (with M. Lou, E. Jonckheere, F. Bonahon, Y. Baryshnikov, B. Krishnamachari), Int. J. of Computers,
8 Communications & Control VI (2011), Quantum traces for representations of surface groups in SL 2 (with Helen Wong), Geometry & Topology 15 (2011), Kauffman brackets, character varieties, and triangulations of surfaces (with Helen Wong), in: Topology and geometry in dimension three, , Contemp. Math. 560, American Mathematical Society, Infinitesimal Liouville currents, cross-ratios and intersection numbers (with Dragomir Saric), J. Topology 39 (2012), Parametrizing Hitchin components (with Guillaume Dreyer), arxiv: , to appear in Duke Math. J. Preprints: 1. Local representations of the quantum Teichmüller space (with Hua Bai and Xiaobo Liu), preprint, 2007, arxiv: Representations of the Kauffman skein algebra I: invariants and miraculous cancellations (with Helen Wong), preprint, 2012, arxiv: , submitted for publication. 3. Representations of the Kauffman skein algebra II: punctured surfaces (with Helen Wong), preprint, 2012, arxiv: The Witten-Reshetikhin-Turaev representation of the Kauffman skein algebra (with Helen Wong), preprint, 2013, arxiv:
9 Invited Lectures (since 2000): Conferences and workshops. Plenary addresses are indicated in italics. Jan. 01 IInd Iberoamerican Congress on Geometry, Guanajuato, Mexico. Jun. 01 Special session in topology, AMS/SMF Joint Meeting in Lyon, France. May 02 Georgia Topology Conference, University of Georgia. Aug. 02 Topology conference, Xi'an, China. Sept. 03 Topology Workshop, Banff International Research Station, Banff, Canada. May 04 Wasatch Topology Conference, University of Utah. June 04 Workshop Tameness in Texas, University of Texas at Austin. July 04 Special session, Joint Meeting of the Canadian and French Mathematical Societies, Toulouse, France. Sep 05 Conference on Geometry and Physics, University of Pisa, Italy. Oct 05 Conference Future directions in 3-manifolds, University of Michigan. Dec 05 Conference Three days of Topology at Orsay, University of Paris XI, France. May 06 Georgia Topology Conference, University of Georgia. May 06 Workshop on hyperbolic geometry, Fields Institute, Toronto, Canada. July 06 Park City Mathematics Institute on Low-dimensional Topology (seminar talk), Park City, UT. Sep 06 Workshop on Teichmüller theory (3 hour minicourse), University of Warwick, England. Dec 06 CanaryFest Conference, University of Michigan. Jan 07 Conference on Moduli spaces, Stanford University. Mar 07 Workshop on representations of surface groups, American Institute of Mathematics, Palo Alto. May 07 Workshop on the Volume Conjecture, Louisiana State University. Sep 07 Conference on the Volume Conjecture, University Louis Pasteur, Strasbourg, France. Oct 08 Red Raider Symposium, Texas Tech University. June 09 Workshop Interactions between hyperbolic geometry, quantum topology and number theory, (3 lectures), Columbia University. Nov 09 Special session, AMS sectional meeting, Riverside, CA. June 10 Conference on Topology and geometry in dimension three: triangulations, invariants and geometric structures, Oklahoma State University. Mar 11 Conference on Analysis, Geometry and Surfaces, Autrans, France. Nov 11 Workshop on Geometry of Large Networks, American Institute of Mathematics, Palo Alto, CA. Jan 12 Special MAA session on Knot Theory, Joint Mathematical Meetings, Boston, MA. Feb 12 Workshop on Representations of surface groups, Institut Henri Poincaré, Paris, France. May th Cornell Topology Festival, Cornell University, Ithaca, NY. Oct 12 Special Session, AMS meeting, Tucson, AZ. June 13 Geometric Topology in Cortona, Interactions of quantum topology and hyperbolic geometry, Cortona, Italy.
10 Aug 13 Geometry and Topology in New York, Columbia University. May 14 Minicourse in program Teichmüller theory and surfaces in 3-manifolds, Centro Ennio Di Giorgi, Pisa, Italy. Nov 14 Plenary address, MAA Sectional Meeting, Pomona College, Claremont, CA. Apr 15 Workshop on Dynamics on moduli spaces, MSRI, Berkeley, CA. June 15 Conference on Boundaries and ergodic theory, University of Notre Dame, South Bend, IN. June 15 Conference on Representations of 3-manifold groups, geometric structures and exact computations, Paris, France Seminar talks and Colloquiums. Distinguished lectures are indicated in boldface. June 00 Geometry Seminar, University of Minnesota, Minneapolis. Oct. 00 Colloquium, Université de Grenoble, France. Oct. 00 Topology Seminar, Université de Grenoble, France. Oct. 00 Topology Seminar, Université de Paris-Sud, Orsay, France. Dec 00 Peking University (5 hours), Beijing, China. Dec. 00 Morningside Institute (4 hours), Chinese Academy of Sciences, Beijing, China. May 01 Colloquium, University of California at Riverside. Oct. 01 Topology Seminar, University of California at Santa Barbara. May 02 Topology seminar, University of California at San Diego Feb. 04 Bay Area Topology Seminar, Stanford University. June 04 Algebra/Geometry/Topology seminar, University of Minnesota. Mar 05 Topology Seminar, Boston College. Mar 05 Colloquium, Yale University. Mar 05 Colloquium, Wesleyan University. Apr 05 Topology Seminar, Claremont Colleges. Mar 06 Stelson Lectures, Georgia Institute of Technology. Jan 07 Topology seminar, Michigan State University. Jan 07 RTG seminar, Michigan State University. Mar 07 Topology seminar, Rutgers University. Mar 07 Topology seminar, Columbia University. Mar 07 Colloquium, California State University, Long Beach. Nov 07 Colloquium, California State University, Northridge. Apr 08 Colloquium, UCLA. Oct 10 Colloquium, UCLA. Jan 11 Research seminar, Carleton College, Northfield, MN. Jan 11 Geometric dynamics seminar, University of Lille, France. Mar 11 Topology seminar, University of Nantes, France. Mar 11 Colloquium, University of Geneva, Switzerland. Apr 11 Algebraic geometry and differential topology seminar, Renyi Institute, Budapest, Hungary. May 11 Dynamic topology seminar, University of Paris 11, Orsay, France. Apr 11 Geometry seminar, University Paul Sabatier, Toulouse, France May 11 Topology seminar, Institut Mathématique de Jussieu, Paris, France May 11 Differential geometry seminar, Cambridge University, England.
11 May 11 Geometry and topology seminar, Warwick University, Coventry, England. May 11 London geometry and topology seminar, Imperial College, London, England. May 12 Dean s Lecture, Binghamton University, Binghamton, NY. Mar 13 Southern California Topology Colloquium, CalTech. May 13 Topology seminar, UC Irvine, CA. Sep 13 Colloquium, California State University at Long Beach. Apr 14 Geometry And Topology Brown & Yale (GATSBY), Yale University. Sept 14 Topology seminar, Hacettepe University, Ankara, Turkey (2 lectures) Oct 14 Colloquium, Purdue University. Dec 14 Geometry seminar, University of Texas, Austin. General audience talks and other outreach activities. Jun-Jul 06 Undergraduate course at the Park City Mathematics Institute (14 lectures), Park City, UT. Feb 07 Math Club, California State University, Los Angeles. Jan 11 Headley Distinguished Visitor Lecture, Carleton College, Northfield, MN. Feb 12 Visions and Voices Program, USC Library. Feb 13 Institute For Figuring, Los Angeles, CA.