Fields Institute for Research in Mathematical Sciences
222 College Street
Toronto, Ontario
M5T 3J1
Canada
email: Annetteukarrer[at]gmail[dot]com
cv: curriculum vitae
About me:
I am a postdoctoral fellow at the Fields Institute within the current thematic program on Randomness and Geometry (January 1 - June 30, 2024) http://www.fields.utoronto.ca/activities/23-24/randomness. My research area is geometric group theory with two main topics: boundaries of finitely generated groups, and non-positively curved complexes, such as CAT(0) cube complexes and systolic complexes.
past:
I completed my PhD in geometric group theory in spring 2020 under the supervision of Petra Schwer at the Karlsruhe of Institute of Technology. Tobias Hartnick was my second supervisor. Afterwards I worked with Nir Lazarovich at the Technion in Israel (2020 -2022). I was then a CRM postdoctoral fellow at McGill University under the supervision of Piotr Przytycki and Daniel Wise (2022-2023). I was a Ross Assistant Professor at the Ohio State University in autumn 2023 working with Jean-François Lafont and Jingyin Huang and will return to the Ohio State University in autumn 2024.
Before my PhD, I did research in graph theory.
future:
I will return to Ohio State University in August 2024.
Publications:
Published and accepted papers
Right-angled Coxeter groups with totally disconnected Morse boundaries, Accepted to Geometriae Dedicata, e-print available at arXiv: 2105.04029.
With Elia Fioravanti, Connected components of Morse boundaries of graphs of groups, Pacific Journal of Mathematics 317 , no. 2, 339–361, 2022. (pdf)
With Marius Graeber, Nir Lazarovich, Emily Stark, Surprising circles in Morse boundaries of right-angled Coxeter groups, Topology and its Applications 294, p.107645, 2021. (pdf)
With Petra Schwer, Koen Struyve, The triangle groups (2,4,4), (2,4,5) are not systolic, Graphs and Combinatorics 36(6), p. 1741 - 1782, 2020. (pdf)
With Maria Axenovich, High girth hypergraphs with unavoidable monochromatic or rainbow edges, Discussiones Mathematicae Graph Theory, in press, e-print available at https://doi.org/10.7151/dmgt.2291.
With Thomas Bläsius, Ignaz Rutter, Simultaneous embedding: Edge orderings, relative positions, cutvertices, Graph drawing, Vol. 8242. Lecture Notes in Comput. Sci. Springer, p. 220-231, 2013. (pdf)
Submitted papers
With Bobby Miraftab, Stefanie Zbinden, Subgroups arising from connected components in the Morse boundary, arXiv
With Elia Fioravanti, Alessandro Sisto, Stefanie Zbinden, On the Cech cohomology of Morse boundaries, arXiv: 2303.15981
With Kasia Jankiewicz, Kim Ruane, Bakul Sathaye, The boundary rigidity of lattices in producs of trees, arXiv: 2109.09175.
Theses
Advisors: Petra Schwer, Tobias Hartnick
Master thesis: Colorability of hypergraphs without monochromatic and rainbow edges
Advisors: Maria Axenovich and Torsten Ueckerdt
Bachelor thesis: Simultaneous embeddings of outerplanar graphs (in German)