## Contact

 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, #1403 Office Hour By appointment CV To see my full CV, click here.

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.

## Research

### Interest

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

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

### Publications

• 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.

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• Exponential torsion growth for random 3-manifolds (With D. Bauer, I. Gekhtman, U. Hamenstädt, S. Hensel, T. Kastenholz, M. Pedron, B. Petri, D. Valenzuela), arXiv:1607.00631, to appear in Int. Math. Res. Not. IMRN.

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

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

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• 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.

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

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• 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.

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

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• 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.

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### Preprints

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

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

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

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### In Preparation

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

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

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

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

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### PhD Thesis

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

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### Other writings

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

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• 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).

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Last Update: February 22, 2017