SANGHOON KWAK

I am currently a CMC fellow at the June E Huh Center for Mathematical Challenges in KIAS.

I completed my Ph.D. in Mathematics at University of Utah. My advisors were Mladen Bestvina and Priyam Patel.
I obtained my Bachelor's degree in Mathematics from KAIST, under advisory of Hyungryul Harry Baik.

Contact Information

Email

samuelkwak [at] kias [dot] re [dot] kr

Mailing address

June E Huh Center for Mathematical Challenges, KIAS85 Hoegiro Dongdaemun-gu, Seoul, South Korea, 02455

Office

Room 8319 | KIAS Bldg 8, 3rd Floor

Research Interest

Symmetries of Graphs

Symmetries of Surfaces

7. Coarsely Bounded Generating Sets for Mapping Class Group of Infinite-type Surfaces  [arXiv]
(Joint with T. Hill, and R. Rechkin)

6. Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs [arXiv]
(Joint with G. Domat, and H. Hoganson)

5. Thurston's Theorem: Entropy in Dimension One [arXiv]
(Joint with R. Dickmann, G. Domat, T. Hill, C. Ospina, P. Patel, and R. Rechkin)
To appear in Math. Res. Lett.

4. The Automorphism Group of the Infinite Rank Free Group is Coarsely Bounded [Journal] [arXiv]
(Joint with G. Domat, and H. Hoganson)
New York J. Math. 28 (2022), 1506-1511

3. Coarse Geometry of Pure Mapping Class Groups of Infinite Graphs [Journal]  [arXiv]
(Joint with G. Domat, and H. Hoganson)
Adv. Math. 413 (2023), 108836

2. Free products from spinning and rotating families [Journal] [arXiv]
(Joint with M. Bestvina, R. Dickmann, G. Domat, P. Patel, and E. Stark)
Ensign. Math. 69 (2023), no. 3-4, 235-260

1. On Translation Length of Anosov Maps on Curve Graph of Torus [Journal] [arXiv]
(Joint with H. Baik, C. Kim, and H. Shin)
Geom. Dedicata. 214 (2021), Issue 1, 399-426