Sang-hyun Kim

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Welcome to Sam Sang-hyun Kim's page

New preprint

We prove that for each real numbers a ≥ 2, there exists a finitely generated subgroup Ga of Diffa(S1) with the property that Ga admits no injective homomorphisms into Diffb(S1) for all b > a. One can further require the same property for all finite index subgroups of Ga and also for [Ga,Ga], the latter of which is a countable simple group.


  • I am on sabbatical for the year of 2017 (March - December).
  • Nov 27 - Dec 20. Japan, China.

Conference organization

  • GAGTA-2018, Organizing/Scientific Committee, Seoul, Korea, Jul 16 - 20, 2018
  • Groups, Geometry and Dynamical Systems (ICM Satellite), Scientific Committee, Montevideo, Uruguay, July 23 - 27, 2018



Sang-hyun Kim, Associate Professor
Department of Mathematical Sciences, Seoul National University
1 Gwanak-ro, Gwanak-gu, Post Code 08826, Seoul, Korea



Office Hour I am on sabbatical. Email me.


CV (2017, PDF)



Geometric group theory: right-angled Artin group, hyperbolic group, mapping class group, diffeomorphism group, acute triangulations.

Publications & Talks

  • Selected publications
15. (With Cheol-Hyun Cho, Hansol Hong and Siu-Cheong Lau), Lagrangian Floer potential of orbifold spheres, Advances in Mathematics Volume 306, 14 January 2017, Pages 344-426. Paper
14. (With H. Baik and T. Koberda), Unsmoothable group actions on compact one-manifolds, accepted, Journal of European Mathematical Society. Paper Summary
11. (With T. Koberda) Anti-trees and right-angled Artin subgroups of braid groups, Geometry & Topology 19-6 (2015), 3289--3306. Paper Summary



Current (Spring -- Fall 2017)

  • Sabbatical!


Lecture notes



  • Excellence in Research Award, College of Natural Sciences, Seoul National University, March 3, 2017.
  • Excellent Research Paper Award, Korean Mathematical Society, April 23, 2016.
For the work: (With Thomas Koberda), Embedability between right-angled Artin groups, Geometry & Topology 17 (2013) 493--530.
An award first established in September 2015. Based on recommendations by students council, faculty committee and course survey.
  • Creative Teaching Grand Award, KAIST, February 15, 2013.
  • Sang-San Prize for Young Mathematicians, Korean Mathematical Society, October 5, 2012.
  • Excellence Prizes, College Mathematics Competition, Korean Mathematical Society, 1994 and 1995.
  • Silver medal, the 34th International Mathematical Olympiad, Turkey, 1993.

Professional Services