I am a fifth year PhD student in Mathematics. My advisor is Chris Leininger. I am interested in mapping class groups of surfaces and Teichmüller space. Right now I am particularly interested in Cannon-Thurston maps, the asymptotic behavior of geodesic rays in Teichmüller space, and hierarchically hyperbolic space (HHS) structures.


New preprints


  • Hierarchically hyperbolic groups are determined by their Morse boundary [pdf] (January 2018)
  • Exotic limit sets of Teichmüller geodesics in the HHS boundary [pdf] , [arXiv] (April 2017)

Recent publications


  • Non-existence of boundary maps for some hierarchically hyperbolic spaces, Algebr. Geom. Topol. 18 (2018), no. 1, 409-439. [pdf] , [arXiv]
My full CV can be found here (Updated 1/13/2018): CV

Sarah Mousley