Overview
My research is focused on the study of infinite discrete groups. In particular, I use topological, combinatorial, and graph theoretic tools to study the relationship between geometric properties of groups (e.g. curvature and isoperimetry) and algorithmic properties (e.g. the complexity of the Word Problem and Conjugacy Problem). My work has also touched on computational complexity and mathematical models of computing machines.
Research Focus
Geometric group theory
Publications
- F. Wagner, "Malnormal Subgroups of Finitely Presented Groups." arXiv:2404.00841 (2024)
- B. Chornomaz and F. Wagner, "Quasilinear Emulation of Turing Machines by S-machines." arXiv:2304.07603 (2023)
- F. Wagner, "Torsion Subgroups of Groups with Quadratic Dehn Function." arXiv:2010.05381 (2020) (to appear in Memoirs of the American Mathematical Society).
- F. Wagner, "Torsion Subgroups of Groups with Cubic Dehn Function." arXiv:2001.03261 (2020)
- L. Carbone and F. Wagner, "Uniqueness of Representation-Theoretic Hyperbolic Kac-Moody Groups over Z." Contemporary Math 695 (2017).