Katie Vokes

About me:

I am a postdoctoral researcher in the Department of Mathematics of the University of Luxembourg, funded by a Marie Curie Postdoctoral Fellowship. I am in the group of Hugo Parlier. My research is at the interface of low-dimensional topology and geometric group theory. 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 was a postdoctoral researcher at the Institut des Hautes Études Scientifiques. Before that, I spent six months at the Fields Institute for the Thematic Program on Teichmüller Theory, and 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" : J. Topol. 15 (2022) 2317–2351 (journal version); available at arXiv:2010.06464; see also poster.
   
   
2. (with Jacob Russell) "The (non)-relative hyperbolicity of the separating curve graph" : accepted in the proceedings of the conferences Beyond hyperbolicity and Artin Groups, CAT(0) geometry and related topics; available at arXiv:1910.01051.
   
   
3. "Hierarchical hyperbolicity of graphs of multicurves" : Algebr. Geom. Topol. 22 (2022) 113–151 (journal version); 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   • A (slightly) out-of-date version at arXiv:1703.10595.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).


• "Mapping class groups and curves in surfaces", a guest post for Picture this maths, a blog by Rachael Boyd and Anna Seigal.


• A poster about some of my joint work with Jacob Russell.


• Slides from Ventotene 2019.

Links:

• The Man in Seat Sixty-One, an amazing website which helps me to plan conference travel by train.