SANGHOON KWAK

Beginning in June 2024, I will be a CMC fellow at the June E Huh Center for Mathematical Challenges in KIAS.

I am a fifth year Ph.D. candidate in Mathematics at University of Utah. My advisors are Mladen Bestvina and Priyam Patel.
I obtained my Bachelor's degree in Mathematics from KAIST, under advisory of Hyungryul Harry Baik.

Contact Information

Email

sam [dot] kwak [at] utah [dot] edu

Mailing address

155 S 1400 E, JWB 233SALT LAKE CITY, UT 84112

Office

JWB 221 | (801) 585-9114

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