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
FrĂ©dĂ©ric 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
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
Autumn 2016: "Basic Algebra I" (Math 25400, sections 11 and 31) -- all informations and documents are on
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).
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
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).
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
Image des maths
SĂ©minaire Aromaths (Paris 6)