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jbavard (at) math.uchicago.edu

Office: Ryerson 355

Department of mathematics
University of Chicago
5734 S. University Avenue
Chicago, Illinois 60637
USA

Juliette Bavard

Since September 2016, I am an L.E. Dickson Instructor at the University of Chicago.

I recently received my PhD in France, from University Pierre et Marie Curie (Paris 6), under the direction of Frédéric Le Roux.

Here is a CV.

Research interests

  • Low dimensional topology, geometry and dynamics: surfaces homeomorphisms, surfaces of infinite topological type, mapping class groups, curves and arcs graphs, braid groups and their generalizations, Brouwer homeomorphisms, homotopy Brouwer theory, group actions on surfaces
  • Interactions with geometric group theory: Gromov hyperbolic spaces and their boundaries, construction of quasimorphisms, scl, acylindrically hyperbolic groups
  • Interactions with complex dynamics: Julia sets, shift locus
  • Some pictures related to my work: a braid in the plane minus a Cantor set, two cliques of high-filling rays (realized with Alden Walker's program) and a geometric representation of the plane minus a Cantor set. This braid has a loxodromic action on the ray graph (see this paper), and the two points of the boundary of the ray graph which are fixed by this action can be seen as the two rays of the second figure (the orange one is attractive and the green one is repulsive -- see this paper for more details).

    Texts

  • With Alden Walker -- The Gromov boundary of the ray graph, Transactions of the AMS (to appear), arXiv.
  • With Anthony Genevois -- Big mapping class groups are not acylindrically hyperbolic, arXiv.
  • Conjugacy invariants for Brouwer mapping classes, Ergodic Theory and Dynamical Systems (2016), arXiv.
  • HyperbolicitĂ© du graphe des rayons et quasi-morphismes sur un gros groupe modulaire, Geometry & Topology (2016), arXiv.
  • Dynamique topologique sur les surfaces : gros groupes modulaire et classes de Brouwer, PhD thesis (2015).
  • Quasi-morphismes sur le groupe de tresses, Master thesis (2013).
  • Teaching

    2016-2017 (UChicago):

  • Autumn 2016: "Basic Algebra I" (Math 25400, sections 11 and 31) -- all informations and documents are on Chalk.
  • Winter 2017: "Basic Algebra II" (Math 25500, sections 11 and 31) -- all informations and documents are on Chalk (email me from your uchicago.edu address if you can't access).
  • 2013-2016 (UPMC):

  • TD of "Topologie et calcul diffĂ©rentiel" (3M260), lectures by FrĂ©dĂ©ric Le Roux (2015-1016).
  • TD of "MathĂ©matiques : mesures et grandeurs" (LG308), lectures by FrĂ©dĂ©ric Guilloux (2014-2015).
  • TD of "Algèbre linĂ©aire, suites et intĂ©grales" (1M002), lectures by Antonin Guilloux (2013-2014).
  • Colles of "Algèbre et GĂ©omĂ©trie" (LM270), lectures by Vincent Humilière (2013-2014).
  • Upcoming talks

  • Mexico City, Workshop 'Groups of dynamical origin' (March 2017).
  • New Jersey City, USA, Spring Topology and Dynamical Systems Conference (March 2017).
  • Pensacola Beach, USA, Conference 'Geometric Groups on the Gulf Coast' (March 2017).
  • Tufts University, USA, Geometric Group Theory and Topology Seminar (March 2017).
  • Bloomington, USA, Workshop on Groups, Geometries and Dynamics (April 2017).
  • Madison, USA, Workshop 'Junior Geometry and Topology in the Midwest' (April 2017).
  • Cambridge, UK, Workshop 'Groups Actions and Cohomology in Non-Positive Curvature' (June 2017).
  • Montpellier, France, Conférence 'Géométrie métrique, Géométrie de Finsler' (June 2017).
  • Rennes, France, Conference 'Dynamics on representation varieties' (June 2017).
  • A few links...

  • Statement of Inclusiveness
  • Analysis Situs
  • Image des maths
  • SĂ©minaire Aromaths (Paris 6)