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Harry Hyungryul Baik

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Harry Hyungryul Baik
Born
🏫 EducationKAIST (B.S. in Mathematical Sciences)
Cornell University (Ph.D. in Mathematics)
💼 Occupation
🏅 AwardsSangsan Prize for Young Mathematicians
TJ Park Science Fellowship
Samsung Science and Technology Foundation grant

Harry Hyungryul Baik is a mathematician who mainly works in geometric topology and geometric group theory. He is an associate professor of mathematics at KAIST.

Education and career[edit]

Baik graduated from the KAIST in 2009, with a bachelor's degree in mathematical sciences.[1] He completed his Ph.D. in mathematics at the Cornell University in 2014. His dissertation, Laminations on the Circle and Hyperbolic Geometry , was supervised mainly by William Thurston.[2]

Baik was a postdoctoral researcher at the University of Bonn from 2014 to 2017 in the research group led by Ursula Hamenstädt and became Assistant Professor of Mathematics at KAIST in 2017. Baik was a visiting professor at CUNY Queens college from 2022 to 2023.

Research[edit]

Baik has been working on various topics in low-dimensional topology, geometric topology and geometric group theory.

He has developed the theory of laminar groups which are groups faithfully acting on the circle while preserving a lamination (a closed set of unlinked unordered pairs of points on the circle). In his Ph.D. thesis, under the torsion-free assumption, he showed that a laminar group which admits three different very-full invariant laminations is necessarily a surface group, and this result was generalized in his joint work with KyeongRo Kim. Later they, together with Hongtaek Jung, proved that a laminar group which admits a veering pair of laminations is a 3-manifold group.

He also made progresses in the study of stretch factors of pseudo-Anosov maps, regularity of right-angled Artin group actions on 1-manifolds, asymptotic translation lengths for the mapping class group actions on the curve complexes, relation between taut foliation and action on the circle, subgroup growth of right-angled Artin groups and right-angled Coxeter groups, and random walks on the mapping class groups.

Recognition[edit]

In 2018, Baik won the Sangsan Prize for Young Mathematicians from the Korean Mathematical Society.[3] This award is given to a talented young mathematician within first 5 years since the recipient received Ph.D. degree.

Baik was selected as a Posco Science Fellow by Posco TJ Park Foundation in 2017, received EWon Assistant Professorship for Outstanding Junior Faculty from KAIST in 2020, was selected as a new member of Y-KAST (Young Korean Academy of Science and Technology) in 2021. Also his research was selected for The Top Ten KAIST Research Achievements in 2019.

Baik has also been funded by Samsung Science and Technology Foundation and by National Research Foundation of Korea[1].

Selected publications[edit]

H. Baik, Hyungryul (2015), "Fuchsian Groups, Circularly Ordered Groups, and Dense Invariant Laminations on the Circle", Geometry&Topology, 19 (14): 2081–2115, arXiv:1308.3022, doi:10.2140/gt.2015.19.2081
S. Baik, Hyungryul (2020), "Minimal asymptotic translation lengths of Torelli groups and pure braid groups on the curve graph", International Mathematics Research Notices, 24: 9974–9987, doi:10.1093/imrn/rny273

References[edit]

External links[edit]


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