Katie Vokes

About me:

I have been a postdoctoral researcher in Mathematics at the Institut des Hautes Études Scientifiques from January 2019 to June 2021. My broad area of research is geometry and topology. More specifically, my work has been related to the large scale geometry of mapping class groups of surfaces and various graphs and complexes on which they act, such as the curve complex.

Previously, I spent six months at the Fields Institute for the Thematic Program on Teichmüller Theory. Before that, I was a PhD student at the University of Warwick, under the supervision of Brian Bowditch.

Papers:

1. (with Jacob Russell) "Thickness and relative hyperbolicity for graphs of multicurves" : preprint (2020) arXiv:2010.06464.
   
   
2. (with Jacob Russell) "The (non)-relative hyperbolicity of the separating curve graph" : preprint (2019) arXiv:1910.01051.
   
   
3. "Hierarchical hyperbolicity of graphs of multicurves" : accepted in Algebr. Geom. Topol., available at arXiv:1711.03080.
   
   
4. "Uniform quasiconvexity of the disc graphs in the curve graphs" : in "Beyond Hyperbolicity", ed. M. Hagen, R. Webb, H. Wilton, London Math. Soc. Lecture Note Ser. 454, Cambridge Univ. Press (2019) 223–231.
   
   • A pdf which to the best of my knowledge matches the published version in section and theorem numbering (but not in page numbering).
   • A slightly out-of-date version at arXiv:1703.10595.

Slides and expository writing:

• Lectures on mapping class groups (through GGSE): Lecture 1 (19 October 2020), Lecture 2 (26 October 2020), some exercises (may be updated later).
• Slides from Ventotene 2019.
• "Mapping class groups and curves in surfaces", a guest post for Picture this maths, a blog by Rachael Boyd and Anna Seigal.