H. Oh

collaborators

6 papers

math.DS2026

Dynamics and Rigidity through the Lens of Circles

Hee Oh

We report on recent developments in the dynamics and rigidity of infinite-volume homogeneous spaces, viewed through the lens of circles. By addressing four natural questions about…

math.GT2026

Fractal closures of geodesic planes in Hitchin manifolds

Subhadip Dey, Hee Oh

Ratner's theorem implies topological rigidity of immersed totally geodesic subspaces of noncompact type in finite-volume locally symmetric spaces. In higher rank and infinite volum…

math.GT2025

Properness and finiteness of totally geodesic submanifolds in the convex core

Minju Lee, Hee Oh

We study totally geodesic submanifolds in the convex core of geometrically finite rank-one locally symmetric manifolds. Although the infinite-volume setting can exhibit highly comp…

math.GT2025

Deformations of Anosov subgroups: Limit cones and Growth indicators

Subhadip Dey, Hee Oh

Let $G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of $G$ under a certain convexity assumpti…

math.NT2025

Counting totally real units and eigenvalue patterns in $SL_{n} (Z)$ and $Sp_{2n} (Z)$ in thin tubes

Hee Oh

For a vector $v = (v_{1}, \dots, v_{n})$ with $v_{1} > \dots > v_{n}$ and $\sum v_{i} = 0$ , we study the "directional entropy" of two arithmetic objects: (1) the logarithmic embeddings of degree- $n$ …

math.DS2025

Multiple correlations of spectra for higher rank Anosov representations

Michael Chow, Hee Oh

We describe multiple correlations of Jordan and Cartan spectra for any finite number of Anosov representations of a finitely generated group. This extends our previous work on corr…