Dongryul M. Kim
[M. is only for publications. | 🔈 Dong-Nyool Geem]

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



  When life gives you lemonade,
  Make lemons.
  Life will be all like 'what?!'
  -- Phil Dunphy @ Modern family
Publications
[ MathSciNet | Google Scholar | arXiv | Note: For preprints, versions here are more up-to-date than those available in the arXiv.]

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

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

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

  4. Ergodic dichotomy for subspace flows in higher rank
    with Hee Oh and Yahui Wang, Preprint [pdf]

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

  6. Non-concentration property of Patterson-Sullivan measures for Anosov subgroups
    with Hee Oh, To appear in Ergodic Theory and Dynamical Systems. [Journal Link | pdf]

  7. Conformal measure rigidity for representations via self-joinings
    with Hee Oh, Advances in Mathematics, Volume 458, Part B, 2024, 109992. [Journal Link | pdf]

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

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

  10. 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]

  11. 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), pp. 433–453. [Journal Link | pdf]

  12. 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]

  13. 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]

  14. 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, Volume 23, Issue 4, July 2024, pp. 1751 - 1795.
    [Journal Link | pdf]

  15. 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]

  16. On the asymptotic translation lengths on the sphere complexes and the generalized fibered cone
    with Hyungryul Baik and Chenxi Wu, To appear in Transactions of the American Mathematical Society. [pdf]

  17. 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): 108334. [Journal Link | pdf]

  18. 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]

Expository writings

  1. 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]

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


Template credits: Yunbum Kook