Sungwoon Kim
Assistant Professor
Department of Mathematics, Jeju National University
102 Jejudaehak-ro Jeju-si Jeju-do 63294 Republic of Korea
Email : sungwoon@jejunu.ac.kr
Research Interests
- Geometry and Topology : Geometric structures, Representation varieties, Higher Teichmüller spaces, Anosov representations, Simplicial volume, Bounded cohomology, Symmetric spaces.
Published papers
- On deformation spaces of nonuniform hyperbolic lattices (with I. Kim), Mathematical Proceedings of the Cambridge Philosophical Society, 161 (2016), no. 2, 283-303.
- Complex and Quaternionic hyperbolic Kleinian groups with real trace fields (with J. Kim), Journal of the London Mathematical Society, (2) 93 (2016), 101-122.
- On the equivalence of the definitions of volume of representations, Pacific Journal of Mathematics, 290 (2016), no. 1, 51-68.
- Homological and Bloch invariants for Q-rank one spaces and flag structures (with I. Kim and T. Kuessner), Groups, Geometry and Dynamics, 9 (2015), no. 3, 917-974.
- Bounded cohomology and the Cheeger isoperimetric constant (with I. Kim), Geometriae Dedicata, (2015) 179, 1-20.
- Simplicial volume of compact manifolds with amenable boundary (with T. Kuessner), Journal of Topology and Analysis, 7 (2015), no. 1, 23-46.
- A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in R (with J. Kim), Linear Algebra and its applications. 455 (2014), 107-114.
- Volume invariant and maximal representations of discrete subgroups of Lie groups (with I. Kim), Mathematische Zeitschrift. 276 (2014), no. 2-4, 1189-1213.
- Proportionality principle for the simplicial volume of families of Q-rank one locally symmetric spaces (with M. Bucher and I. Kim), Mathematische Zeitschrift. 276 (2014), no. 1-2, 153-172.
- Minimal volume of complete uniform visibility manifolds with finite volume, Journal of the Australian Mathematical Society. 94 (2013), no. 3, 375-384.
- Simplicial volume of Q-rank one locally symmetric spaces covered by the product of R-rank one symmetric spaces (with I. Kim), Algebraic and Geometric Topology. 12 (2012), no. 2, 1165-1181.
Preprints
- A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields (with J. Kim), 2016, arXiv:1612.08322.
- On the boundary maps of Anosov representations of a surface group to SL(3,R) (with T. Kuessner), 2016, arXiv:1610.04016.
- Primitive stable representations in higher rank semisimple Lie groups (with I. Kim), 2015, arXiv:1504.08056.
- Simplicial volume, Barycenter method and Bounded cohomology (with I. Kim), 2015, arXiv:1503.02381.
- On the limit set of Anosov representations (with I. Kim), 2012, arXiv:1212.0623.
Grants
- National Research Foundation of Korea, Basic Science Research Program, 2015.11 - 2018.10.
- National Research Foundation of Korea, Basic Science Research Program, 2012.09 - 2015.08.
Invited Talks
- Geometry of moduli space of low-dimensional manifolds, Kyoto, Japan, Dec, 2016.
- International Conference for the 70th Anniversary of Korean Mathematical Society, Seoul, South Korea, Oct, 2016.
- KIAS Geometry Day, Seoul, South Korea, July, 2016.
- Théorie spectrale et géométrie Seminar, Institut Fourier, Grenoble, France, June, 2015.
- ICM Satellite Conference on Geometric Group Theory & Geometric Structures, Daejeon, South Korea, August, 2014
- Intensive period on Teichmüller theory and surfaces in 3-manifolds, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, May, 2014.
- Seminar, Center for Geometry and Physics, Institute for Basic Science, Pohang, South Korea, July, 2014.
- 2014 Korean Mathematical Society Spring Meeting, Gangneung, South Korea, April, 2014.
- Hauptseminar Geometrie, Ruprecht-Karls Universität Heidelberg, Heidelberg, Germany, June, 2013.
- Geometry Seminar, Chalmers University of Technology, Gothenburg, Sweden, January, 2013.
- Workshop on hyperbolic geometry : Geometric structures and bounded cohomology, KIAS, Seoul, South Korea, November, 2012.
- Annual meeting of the Korean Mathematical Society, Daejeon, South Korea, October, 2012.
- Topology Seminar, Seoul National University, Seoul, South Korea, April, 2012.
- Graduate seminar, Institut Henri Poincaré, Paris, France, March, 2012.
- Workshop on hyperbolic geometry, bounded cohomology, symmetric spaces and related topics, KIAS, Seoul, South Korea, September, 2011.
- The 9th KAIST Geometric Topology Fair, KAIST, Daejeon, South Korea, August, 2011.
- Geometry seminar, KIAS, Seoul, South Korea, June, 2011.
- The intensive lectures on real projective structures : A workshop on real projective structures and related topics, KIAS, Seoul, South Korea, October, 2010.
- Hyperbolic geometry and related topics, KIAS, Seoul, South Korea, September, 2010.
Organizer