Inhyeok Choi

Harry Kesten Assistant Professor

Research Focus

Geometric group theory, Measured group theory

I study groups and metric spaces that appear in geometric group theory and low-dimensional topology. I try to reveal the geometry of groups by looking at the dynamics of their actions on various spaces. I also study some notions from adjacent fields for this purpose, such as random walks on groups, entropy of dynamical systems and length spectra of manifolds.

Publications

  • Confine subgroups in groups with contracting elements. With Ilya Gekhtman, Wenyuan Yang and Tianyi Zheng. Preprint, arXiv:2405.09070
  • Random walks and contracting elements I: Deviation inequality and limit laws. Preprint, arXiv:2207.06587
  • Pseudo-Anosovs are exponentially generic in mapping class groups. To appear in Geometry & Topology, arXiv:2110.06678
  • Central limit theorem and geodesic tracking on hyperbolic spaces and Teichm├╝ller spaces. Advances in Mathematics, Vol. 431 (2023), 109236
  • Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichm├╝ller spaces. With Hyungryul Baik and Dongryul M. Kim. JIMJ.

MATH Courses - Fall 2024

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