SANGHOON KWAK (곽상훈)

I am a (tenure-track) Assistant Professor at the Department of Mathematics Education at Seoul National University.

Previously, I was a CMC fellow (Hyo Chul Myung Assistant Professor) at June E Huh Center for Mathematical Challenges in KIAS.
I completed my Ph.D. in Mathematics in 2024 at the University of Utah. My advisors were Mladen Bestvina and Priyam Patel.
I obtained my Bachelor's degree in Mathematics in 2019 from KAIST, under advisory of Hyungryul Harry Baik.

Contact Information

Email

samuelkwak [at] snu [dot] ac [dot] kr

Mailing address

Sanghoon KwakRoom 315, Building 101, Gwanak-ro, Gwanak-gu, Seoul, South Korea 08826

Office

Building 10 - Room 315 

Research Interest

Symmetries of Graphs

Symmetries of Surfaces

9. Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps  [arXiv]
(Joint with Ryan Dickmann, and Hannah Hoganson)

8. Nonunique Ergodicity on the Boundary of Outer space  [arXiv]
(Joint with Mladen Bestvina, and Elizabeth Field)

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

6. Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs [arXiv]
(Joint with George Domat, and Hannah Hoganson)
To appear in  Annales Henri Lebesgue

5. Thurston's Theorem: Entropy in Dimension One [Journal]  [arXiv]
(Joint with Ryan Dickmann, George Domat, Thomas Hill, Carlos Ospina, Priyam Patel, and Rebecca Rechkin)
Math. Res. Lett. 31 (2024), 127-174

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

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

2. Free products from spinning and rotating families [Journal]  [arXiv]
(Joint with Mladen Bestvina, Ryan Dickmann, George Domat, Priyam Patel, and Emily 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 Hyungryul Baik, Changsub Kim, and Hyunshik Shin)
Geom. Dedicata. 214 (2021), Issue 1, 399-426