I am a fourth-year Ph.D. candidate in the Dept. of Mathematics at Yale University.
My advisor is Prof. Hee Oh.

I received my B.S. degree in Mathematical Sciences from KAIST on Feb. 2021 with honors. At KAIST, I was a research member of Team for Academic Research on GEometric Topology under the supervision of Prof. Harry Hyungryul Baik.

I am interested in Geometry, Topology, Dynamical systems, and Ergodic theory.
Some keywords of my work include the following:

- Discrete subgroups of Lie groups and Homogeneous dynamics

- Kleinian groups and (relatively) Anosov groups

- Deformations and Rigidity theorems

- Mapping class groups and dynamics on Teichmüller spaces and Curve complexes

- Geometric group theory

- Random walks on groups

[ Curriculum Vitae | Mentoring & Teaching | Talks | Trips | Organizational activities ]

Office: Kline Tower 705, Yale University
Email: dongryul.kim(AT)yale(DOT)edu

1. Horocycles in hyperbolic 3-manifolds with round Sierpiński limit sets
   with Minju Lee
   Preprint [pdf]

2. Conformal measure rigidity and ergodicity of horospherical foliations
   Preprint [pdf]

3. Relatively Anosov groups: finiteness, measure of maximal entropy and reparameterization
   with Hee Oh
   Preprint [pdf]

4. Ahlfors regularity of Patterson-Sullivan measures of Anosov groups and applications
   with Subhadip Dey and Hee Oh
   Preprint [pdf]

5. Ergodic dichotomy for subspace flows in higher rank
   with Hee Oh and Yahui Wang
   Communications of the American Mathematical Society, Vol. 5 (2025), 1–47. [Journal Link | pdf]

6. Properly discontinuous actions, growth indicators and conformal measures for transverse subgroups
   with Hee Oh and Yahui Wang
   Preprint [pdf]

7. Non-concentration property of Patterson-Sullivan measures for Anosov subgroups
   with Hee Oh
   Ergodic Theory and Dynamical Systems, Vol. 45 (2025), no. 3, 884–893. [Journal Link | pdf]

8. Conformal measure rigidity for representations via self-joinings
   with Hee Oh
   Advances in Mathematics, Vol. 458 (2024), Paper No. 109992. [Journal Link | pdf]

9. Rigidity of Kleinian groups via self-joinings: measure theoretic criterion
   with Hee Oh
   Preprint [pdf]

10. Rigidity of Kleinian groups via self-joinings
    with Hee Oh
    Inventiones Mathematicae, Vol. 234 (2023), no. 3, 937–948. [Journal Link | pdf]

11. Reducible normal generators for mapping class groups are abundant
    with Hyungryul Baik and Chenxi Wu
    To appear in Journal of Topology and Analysis. [Journal Link | pdf]

12. Hausdorff dimension of directional limit sets for self-joinings of hyperbolic manifolds
    with Yair N. Minsky and Hee Oh
    Journal of Modern Dynamics, Vol. 19 (2023), 433–453. [Journal Link | pdf]

13. Tent property of the growth indicator functions and applications
    with Yair N. Minsky and Hee Oh
    Geometriae Dedicata (Labourie's volume) Vol. 218, (2024), no. 1, Paper No. 14, 18 pp. [Journal Link | pdf]

14. Minimal asymptotic translation lengths on curve complexes and homology of mapping tori
    with Hyungryul Baik and Chenxi Wu
    To appear in Michigan Mathematical Journal. [Journal Link | pdf]

15. Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces
    with Hyungryul Baik and Inhyeok Choi
    Journal of the Institute of Mathematics of Jussieu, Vol. 23 (2024), no. 4, 1751–1795. [Journal Link | pdf]

16. Simple length spectra as moduli for hyperbolic surfaces and Rigidity of length identities
    with Hyungryul Baik and Inhyeok Choi
    Revision sent to Annales de l'Institut Fourier. [pdf]

17. On the asymptotic translation lengths on the sphere complexes and the generalized fibered cone
    with Hyungryul Baik and Chenxi Wu
    Transactions of the American Mathematical Society, Vol. 378 (2025), no. 7, 4739–4764. [Journal Link | pdf]

18. On the surjectivity of the Symplectic representation of the mapping class group
    with Hyungryul Baik and Inhyeok Choi
    Topology and its Applications, Vol. 322 (2022), Paper No. 108334. [Journal Link | pdf]

19. Topological entropy of pseudo-Anosov maps from a typical Thurston's construction
    with Hyungryul Baik and Inhyeok Choi
    International Mathematical Research Notices (2022), no. 24, 19862–19904. [Journal Link | pdf]

1. Normal generators for mapping class groups
   with Hyungryul Baik
   For inclusion in In the Tradition of Thurston: Geometry and Topology, Vol. 4. [arXiv]

2. Rigidity theorems for hyperbolic 3-manifolds: from finite volume to infinite volume (in Korean)
   Horizon, a scientific magazine published by KIAS [Article 1, Article 2, Article 3]

3. Kleinian Groups from the Sphere at Infinity and Their Self-Joinings
   Handbook of Visual, Experimental and Computational Mathematics. [Chapter Link]

Template credits: Yunbum Kook