Hyungryul Baik

Assistant Professor of Mathematics



Email hrbaik@kaist.ac.kr
Phone +82-42-350-2712 (Office)
Address Department of Mathematical Sciences, KAIST
Daehakro 291, Yuseong-gu
Daejeon, 34141, Korea
Office E6-1, #4407
Office Hour By appointment
CV To see my full CV, click here.
Details For more detailed information about myself and my research group, visit my personal website .

About me

I am a topologist but I am interested in questions in a very broad spectrum. Some of my recent works use combinatorics, probabilistic method, number theory, and dynamical systems.

To read about my recent researches, click here (explained both in Korean and English).

To learn about my hobbies, etc, click here.


Fall, 2017

MAS430 Combinatorial Topology

More information about the course can be found here .

Spring, 2017

MAS583 Introduction to Geometric Topology

More information about the course can be found here .

KAIST Topology seminar

KAIST Topology seminar runs as a weekly seminar during regular semesters. More information can be found here .

Upcoming Travels

Geometry of groups and 3-manifolds state of the art and perspectives (2018.02.19-23, CIRM)

Hyperbolic 3-manifolds and related topics (2018.06.18-22, Postech)

Conference Organizations

GAGTA 2018 (2017.07.16-20, KIAS)

Geoemtric Topology Fair 2017 (2017.05.11-12, KAIST)



Low-dimensional topology, geometric topology, geometric group theory, Teichmueller theory

All my preprints/papers can be found on arXiv Author=Hyungryul Baik.


  • Is a typical bi-Perron number a pseudo-Anosov dilatation? (with A. Rafiqi, C. Wu), arXiv:1612.03084, to appear in Ergod. Theory Dyn. Syst.

  • Exponential torsion growth for random 3-manifolds (With D. Bauer, I. Gekhtman, U. Hamenstädt, S. Hensel, T. Kastenholz, M. Pedron, B. Petri, D. Valenzuela), online published in Int. Math. Res. Not. IMRN. doi: 10.1093/imrn/rnx076.

  • Unsmoothable group actions on compact one-manifolds (with S. Kim and T. Koberda), arXiv:1601.05490, to appear in J. Eur. Math. Soc.

  • Space of Circular Orders of Groups (with E. Samperton), arXiv:1508.02661, to appear in Groups Geom. Dyn.

  • Right-angled Artin Subgroups of the $C^{\infty}$ diffeomorphism group of the real line (with S. Kim and T. Koberda), Israel J. Math. (2016), Volume 213, Issue 1, pp. 175-182.

  • Constructing pseudo-Anosov maps with given dilatations (with A. Rafiqi and C. Wu), Geom. Dedicata (2016), Volume 180, Issue 1, pp. 39-48

  • The Space of Geometric Limits of Abelian Subgroups of PSL(2,C) (with L. Clavier), Hiroshima Math. J. (2016), Volume 46, Number 1, 1-36.

  • Fuchsian Groups, Circularly Ordered Groups, and Dense Invariant Laminations on the Circle , Geom. Topol. 19-4 (2015), 2081-2115.

  • The Space of Geometric Limits of One-generator Closed Subgroups of PSL(2, R) (with L. Clavier), Algebr. Geom. Topol., Vol 13, Issue 1 (2013), pp. 549-576.



  • An algorithm to compute Teichmueller polynomial from matrices (with C. Wu), arXiv:1703.09089.

  • The smallest positive eigenvalue of fibered hyperbolic 3-manifolds (with I. Gekhtman, U. Hamenstädt), arXiv:1608.07609.

  • On Laminar groups, Tits alternative, Convergence group actions on $S^2$ (with J. Alonso and E. Samperton), arXiv:1411.3532.


    In Preparation

  • Families of pseudo-Anosov maps converging to a generalized pseudo-Anosov map (with A. Rafiqi, C. Wu).

  • Kazhdan's theorem on Riemann surfaces, manifolds and complexes (with F. Shokrieh, C. Wu).

  • Subgroup growth of RAAGs and RACGs (with B. Petri, J. Raimbault).

  • Degree d invariant laminations (with W. Thurston, Tan Lei, D. Thurston, J. Hubbard, K. Lindsey, Gao Yan).


    PhD Thesis

  • Laminations on the Circle and Hyperbolic Geometry (defended on June 20, 2014)


    Other writings

  • Introduction to Chabauty topology and Pictures of the Chabauty space of C^* (with L. Clavier), arXiv:1209.0221.

  • Two articles in the book Encyclopedia of Mathematics and Society: Geometry in Society (pp. 427-433), and Measurements, Volume (pp. 651-653), Salem Press (2011).


    Last Update: February 22, 2017