Research interests

  • Low dimensional topology, geometry and dynamics: surfaces homeomorphisms, surfaces of infinite topological type, big 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

  • Texts

    Preprints

  • With Alden Walker -- Two simultaneous actions of big mapping class groups, arXiv (2018).
  • Published or to appear

  • With Spencer Dowdall and Kasra Rafi -- Isomorphisms between big mapping class groups, International Mathematics Research Notices (2018), arXiv (2017).
  • With Alden Walker -- The Gromov boundary of the ray graph, Transactions of the AMS (2018), arXiv (2016).
  • With Anthony Genevois -- Big mapping class groups are not acylindrically hyperbolic, Mathematica Slovaca (2018), arXiv (2015).
  • Conjugacy invariants for Brouwer mapping classes, Ergodic Theory and Dynamical Systems (2016), arXiv (2015).
  • Hyperbolicité du graphe des rayons et quasi-morphismes sur un gros groupe modulaire, Geometry & Topology (2016), French (2014) and English (2018) versions on arXiv.
  • Master Thesis and PhD Thesis

  • 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).

  • Past invited research talks

  • Yale University, USA, Geometry and Topology seminar (February 2018)
  • Dijon, France, Séminaire de Géométrie et Systèmes dynamiques (February2018)
  • Aussois, France, Conference 'Affine and one-dimensional Dynamics' (December 2017)
  • Montpellier, France, Darboux Seminar (December 2017)
  • Nantes, France, Séminaire Orsay-Nantes de géometrie symplectique et de contact (October 2017)
  • Georgia Tech, USA, Geometry and Topology seminar (August 2017)
  • Midway, USA, Wasatch Topology Conference (August 2017)
  • Rennes, France, Conference 'Dynamics on representation varieties' (June 2017)
  • Cambridge, UK, Workshop 'Groups Actions and Cohomology in Non-Positive Curvature' (June 2017)
  • Athens, USA, 2017 Georgia International Topology conference (May 2017)
  • Milwaukee, USA, Topology Seminar (May 2017)
  • Madison, USA, Workshop 'Junior Geometry and Topology in the Midwest' (April 2017)
  • Paris 6, France, Ergodic Theory Seminar (April 2017)
  • Bloomington, USA, Workshop on Groups, Geometries and Dynamics (April 2017)
  • Tufts University, USA, Geometric Group Theory and Topology Seminar (March 2017)
  • Pensacola Beach, USA, Conference 'Geometric Groups on the Gulf Coast' (March 2017)
  • New Jersey City, USA, Spring Topology and Dynamical Systems Conference (March 2017)
  • Mexico City, Workshop 'Groups of dynamical origin' (March 2017)
  • University of Michigan, USA, Topology seminar (November 2016)
  • Yale University, USA, Topology seminar (November 2016)
  • University of Chicago, USA, Dynamics seminar (September 2016)
  • Rennes, France, Ergodic Theory seminar (September 2016)
  • Bedlewo, Poland, Conference on Foliations (July 2016)
  • Rio, Brazil, Workshop for young researchers: groups acting on manifolds (June 2016)
  • Amiens, France, Dynamical Systems seminar (May 2016)
  • Bordeaux, France, Geometry seminar (May 2016)
  • Paris-Sud, France, Geometric Group Theory seminar(April 2016)
  • Caen, France, Algebra and Geometry Seminar (March 2016)
  • Montpellier, France, Darboux Seminar (March 2016)
  • Grenoble, France, Spectral Theory and Geometry Seminar (March 2016)
  • Paris 13, France, Ergodic Theory and Dynamics Seminar (January 2016)
  • Lausanne, Switzerland, Geometry Seminar (December 2015)
  • Nice, France, Dynamics and Geometry Seminar (November 2015)
  • Morelia, Mexico, Workshop on curve complexes (October 2015)
  • Montevideo, Uruguay, Dynamics Seminar (two talks in August 2015)
  • Toulouse, France, Geometry and Topology Seminar (May 2015)
  • Marseille, France, Seminar "Teich" (April 2015)
  • Lille, France, Geometry and Dynamics Seminar (March 2015)
  • Chicago, USA, Geometry and Topology Seminar (February 2015)
  • Grenoble, France, Topology Seminar (January 2015)
  • Rennes, France, "Analytic Geometry" Seminar (November 2014)
  • Paris 6, France, "Algebraic Analysis" Seminar (October 2014)
  • Paris (IHP), France, "Journees de restitution du DIM" (September 2014)
  • Paris 6, France, Phoenix Seminar (Mars 2014)