Michael C. Kopreski

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I am interested in geometric group theory and low dimensional topology. My current research aims to describe the geometric and topological structure of the mapping class groups of infinite type surfaces and other Polish groups.

Papers and preprints

  1. Automorphisms of the sphere complex of an infinite graph. Preprint (2024). arXiv:2410.06531. (with T. Hill, R. Rechkin, G. Shaji, and B. Udall) [pdf]

  2. The asymptotic dimension of the grand arc graph is infinite. Submitted (2024). arXiv:2402.03603. [pdf]

  3. Multiarc and curve graphs are hierarchically hyperbolic. Submitted (2023). arXiv:2311.04356. [pdf]

  4. Prescribed arc graphs. Submitted (2023). arXiv:2305.05316. [pdf]

  5. Maximum average degree and relaxed coloring. Discrete Mathematics 340 (2017) pp. 2528–2530. (with G. Yu) [arXiv]