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 Blasius, 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 Kasia Jankiewicz, Kim Ruane, Bakul Sathaye, The boundary rigidity of lattices in producs of trees, arXiv: 2109.09175.
With Elia Fioravanti, Alessandro Sisto, Stefanie Zbinden, On the Cech cohomology of Morse boundaries, arXiv: 2303.15981
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)
recorded talks:
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