Seonhwa Kim's Home Page

About me

Researcher Professor at Department of Mathematics, University of Seoul

Email : seonhwa17kim_at_uos.ac.kr (or at_gmail.com)
Homepage : seonhwa17kim.diagram.site
Address : Room 610, Mirae building, University of Seoul, Seoul 02504, South Korea
Curriculum Vitae : CV

Research

I am studying about 3-dimensional geometry and topology, in particular, focusing on the relation between quantum invariants and SL(2,C)-representation. Moreover, I am interested in everything related to the diagrams of knots, links, polyhedra and knotted graphs.

I am maintaining a database of parabolic representations of knots up to 12 crossings at http://diagram.site.

Publications

Hyuk Kim, Seonhwa Kim, Seokbeom Yoon, "Octahedral developing of knot complement II: Ptolemy coordinates and applications" arXiv:1904.06622 , Journal of Knot Theory and Its Ramifications Vol. 32 (2023), No. 09, 2350057.

Youngjin Bae, Seonhwa Kim, Yong-Geun Oh, "A wrapped Fukaya category of knot complement" arXiv:1901.02239 Mathematische Zeitschrift, Vol. 304 (2023), No. 2, 29.

Dongmin Gang, Seonhwa Kim, Seokbeom Yoom, "Adjoint Reidemeister torsions from wrapped M5-branes" arXiv:1911.10718 , Advances in Theoretical Mathematical Physics, Vol. 25 (2021), No. 7, pp. 1819--1845.

Youngjin Bae, Seonhwa Kim, Yong-Geun Oh, "Formality of Floer complex of the ideal boundary of hyperbolic knot complement", arXiv:1901.02258, The Asian Journal of Mathematics, Vol. 25 (2021), No. 1, pp. 117--176.

Yunhi Cho, Seonhwa Kim, "Volume of hypercubes clipped by hyperplanes and combinatorial identities" , arXiv:1512.07768, The Electronic Journal of Linear Algebra, Vol. 36 (2020), No. 36, pp. 228--255.

Byung Hee An, Youngjin Bae, Seonhwa Kim, " Legendrian singular links and singular connected sums", arXiv:1503.00818 , Journal of Symplectic Geometry, Vol. 16 (2018), No. 04, pp. 885--930.

Hyuk Kim, Seonhwa Kim, Seokbeom Yoon, "Octahedral developing of knot complement I: pseudo-hyperbolic structure" arXiv:1612.02928, Geometriae Dedicata, Vol 197 (2018), No. 01, pp. 123--172.

Jinseok Cho, Hyuk Kim, Seonhwa Kim, "Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links" arXiv:1301.6219, Journal of Knot Theory and Its Ramifications Vol. 23 (2014), No. 09. 1450049.

Seonhwa Kim, "Hyperbolic volume potential functions and knotted graph compliments", Ph.D thesis, Seoul National University.

Preprints

Yunhi Cho, Huuk Kim, Seonhwa Kim, Seokbeom Yoom, "Parabolic representations and generalized Riley polynomials" arXiv:2204.00319 .

Yunhi Cho, Seonhwa Kim, "A classification of polyhedral graph by combinatorially rigid vertices" arXiv:1610.06425 .

Yunhi Cho, Hyuk Kim, Seonhwa Kim, Seokbeom Yoon, "Parabolic SL(2,C) representations by knot diagram: computation up to 11 crossings" , in preperation.

Seonhwa Kim, Insung Park, "Octahedral developing of knot complement III: Simplicial polyhedralization and solution variety", in preperation.

Yunhi Cho, Seonhwa Kim "On the global rigidity of polyhedra by edge lengths and dihedral angels", in preperation.

Conference/workshop organizations

Dec. 2015, Winter School on Volume conjecture, Chern-Simons theory and Knot Contact homology

May. 2015, First Encounter to Quantum Topology at KIAS; preschool(13-14), school(15-18) and workshop(20-22) .

Aug. 2014, Seoul ICM 2014, Web \& Electronic Communications organizing committee, ( the directior for VOD production)

Conferences

2019, Quantum Topology and Hyperbolic Geometry Conference: http://vietnam2019.math.gatech.edu/

2016, Volume Conjecture and Quantum Topology: http://www.f.waseda.jp/murakami/VCQT.html

2014, Geometry, Quantum Topology and Asymptotics: http://geneva2014.gatech.edu/

2013, Geometric Topology in New York: http://www.math.csi.cuny.edu/abhijit/gtiny2013/

Miscellaneous

Softwares computing hyperbolic volume: SnapPEA, Snap and SnapPy

Prof. Hyuk Kim's Lecture notes (2003~2012).

SNU seminars on hyperbolic volumes