Homin Lee
June E Huh fellow
KIAS (Korea Institute for Advanced Study)
E-mail: hominlee (at) kias (dot) re (dot) kr
E-mail: hominlee (at) kias (dot) re (dot) kr
I am a June E Huh Fellow at June E Huh Center for Mathematical Challenges (HCMC) at Korea Institute for Advanced Study (KIAS) since 2025. I was a Boas Assistant Professor (postdoc) in the Mathematics department at Northwestern University 2022-2025. Previously, I was graduate student at the Mathematics department of Indiana University Bloomington, under the supervision of David Fisher.
Here is my CV. My papers, preprints, and works in progress can be found below.
You can also see ''Conference and Seminar Organizations'', ''Selected talks'', and ''Teaching and Mentoring'' in each page.
I am broadly interested in geometry, groups, and dynamics. Currently my work focuses on (non-uniform and uniform) hyperbolic dynamics and smooth ergodic theory with their applications on rigidity of lattices including the Zimmer Program (see, also, here).
I am especially interested in exploring
Rigidity in geometry and dynamical systems such as smooth actions on manifolds by (discrete) groups,
Algebraic and arithmetic properties of discrete subgroups of Lie groups (such as arithmetic groups) and their geometric and number theoretic applications, and
Dynamics in Low dimensional geometry and topology.
Rigidity theorems for higher rank lattice actions, Geometric and Functional Analysis (GAFA), Vol 34, pages 1114-1170, 2024
Global rigidity of higher rank lattice actions with dominated splitting, Ergodic Theory and Dynamical Systems. (ETDS) 2024;44(3):799-828. doi:10.1017/etds.2023.31,
A height gap in GLd(Q) and almost laws, Groups, Geometry, and Dynamics (GGD), 2024. Joint with Lvzhou Chen and Sebastian Hurtado.
Pressure metrics in geometry and dynamics, available at https://arxiv.org/abs/2407.18441 , submitted. Joint with Yan Mary He and Insung Park.
Positive entropy actions by higher rank lattices, available at https://arxiv.org/abs/2409.05991, submitted. Joint with Aaron Brown.
Partially hyperbolic lattice actions on 2-step nilmanifolds, available at https://arxiv.org/abs/2410.00784, submitted. Joint with Sven Sandfeldt.
Absolute continuity of stationary measures, available at https://arxiv.org/abs/2409.18252, preprint. Joint with Aaron Brown, Davi Obata, Yuping Ruan.
Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Pressure Metric, available at https://arxiv.org/abs/2507.17077, submitted. Joint with Yan Mary He and Insung Park.
Singularity of Furstenberg measure for infinite covolume discrete subroups in higher rank, available at https://arxiv.org/abs/2508.06329, preprint. Joint with Wouter van Limbeek and Giulio Tiozzo.
*ArXiv versions may differ significantly from the published version.
Last update: August 08, 2025