Sang-hyun Kim
From w
A personal page of Sang-hyun Kim.
Contents
About
- Associate Professor, Department of Mathematical Sciences, Seoul National University
- Positions and committees (2017)
- CV (2017)
- Web http://cayley.kr
- Email s.kim(aht)snu.ac.kr
- Office Hour Email for an appointment.
- Travel in 2018
- Feb. France / Mar. Japan / Jun. Turkey / Jul. Uruguay / Sep. Germany
Teaching
- 2018
- Topics in Topology (Algebraic structure of diffeomorphism groups)
- Calculus for Mathematics Majors 1
Research
- All publications and talks
- (New preprint with Thomas Koberda) Diffeomorphism groups of critical regularity
- (update: Jan 18, 2018. Now includes all possible real numbers) We prove that for each real numbers a ≥ 1, there exists a finitely generated subgroup G_{a} of Diff^{a}(S^{1}) with the property that G_{a} admits no injective homomorphisms into Diff^{b}(S^{1}) for all b > a. We also prove that there exists another fg group H_{a} that embeds into Diff^{b}(S^{1}) for all b < a, but not into Diff^{a}(S^{1}). One can further require the same properties are inherited to all finite index subgroups and to the commutator groups of G_{a} and of H_{a}. The commutator groups will be simple.
- Interest Geometric group theory: right-angled Artin group, hyperbolic group, mapping class group, diffeomorphism group, acute triangulations.
- Geometry and Topology seminar at SNU
- Past seminars
- 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
Distinction
- Y-KAST Member, (Young Korean Academy of Science and Technology), 2018 - present.
- 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.
- Excellence in Teaching Award, College of Natural Sciences, Seoul National University, September 15, 2015.
- 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 Prize(s), College Mathematics Competition, Korean Mathematical Society, 1994 and 1995.
- Silver medal, the 34th International Mathematical Olympiad, Turkey, 1993.
Notes
- On mathematical writing
- TeX notes
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